Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces
Our study in this paper is focused on mixed equilibrium problems as well as combination with and fixed point problems in real Hilbert spaces. We introduce a new extension of a skew-symmetric bi-functions, called generalized skew-symmetric bi-functions. Two iterative methods based on the subgradient...
Saved in:
| Published in | Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche Vol. 67; no. 2; pp. 253 - 268 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Milan
Springer Milan
01.11.2021
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0430-3202 1827-1510 |
| DOI | 10.1007/s11565-021-00380-8 |
Cover
| Abstract | Our study in this paper is focused on mixed equilibrium problems as well as combination with and fixed point problems in real Hilbert spaces. We introduce a new extension of a skew-symmetric bi-functions, called generalized skew-symmetric bi-functions. Two iterative methods based on the subgradient extragradient method is presented and their weak convergence theorems are proved under some mild assumptions. Further, we discuss some numerical examples to demonstrate the applicability of the iterative algorithm. The methods and analysis is new and extend several related result in the literature. |
|---|---|
| AbstractList | Our study in this paper is focused on mixed equilibrium problems as well as combination with and fixed point problems in real Hilbert spaces. We introduce a new extension of a skew-symmetric bi-functions, called generalized skew-symmetric bi-functions. Two iterative methods based on the subgradient extragradient method is presented and their weak convergence theorems are proved under some mild assumptions. Further, we discuss some numerical examples to demonstrate the applicability of the iterative algorithm. The methods and analysis is new and extend several related result in the literature. |
| Author | Farid, Mohammad |
| Author_xml | – sequence: 1 givenname: Mohammad orcidid: 0000-0002-9713-3509 surname: Farid fullname: Farid, Mohammad email: mohdfrd55@gmail.com, m.jameel@qu.edu.sa organization: Department of Mathematics, Deanship of Educational Services, Qassim University |
| BookMark | eNp9kEtLxDAUhYMoOD7-gKuA6-rNq02XIr5gwI2uY5omY4Y26SStj39vxxEEF67u4pzvnsM5QvshBovQGYELAlBdZkJEKQqgpABgEgq5hxZE0qoggsA-WgBnUDAK9BAd5bwGEJyTeoFent4j1t0qJj--9hm7mHCO3ZsPK9z7D9tiu5l855vkpx4PKTadnW06tNh9y0P0YfwVfMD3vmtsGnEetLH5BB043WV7-nOP0fPtzdP1fbF8vHu4vloWhjIuC2e5YYIZV5eNoFQaIZ2pWqp12bRtKatKOlJbUpqKu5ZLDTXjXBNZc6CVFuwYne_-zlU2k82jWscphTlSUVEzAlLIrYvuXCbFnJN1aki-1-lTEVDbJdVuSTUvqb6XVHKG5B_I-FGPPoYxad_9j7IdmuecsLLpt9U_1BcTDoqh |
| CitedBy_id | crossref_primary_10_3390_axioms13080525 crossref_primary_10_1007_s11565_024_00496_7 crossref_primary_10_3934_math_2023154 crossref_primary_10_1007_s00025_024_02299_w crossref_primary_10_1007_s00521_022_07115_6 crossref_primary_10_1007_s11565_023_00459_4 crossref_primary_10_1007_s11565_024_00545_1 |
| Cites_doi | 10.4134/JKMS.2016.53.1.089 10.1081/NFA-200063882 10.1080/10556780902763295 10.1007/BF02392210 10.1007/s10957-005-7564-z 10.1007/s10957-010-9757-3 10.1017/CBO9780511526152 10.1080/01630560600569957 10.1090/S0002-9904-1967-11761-0 10.1137/S0363012997317475 10.1023/A:1025407607560 10.1016/0041-5553(87)90058-9 10.1080/02331939708844365 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to The Author(s) under exclusive license to Università degli Studi di Ferrara 2021 The Author(s), under exclusive licence to The Author(s) under exclusive license to Università degli Studi di Ferrara 2021. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to The Author(s) under exclusive license to Università degli Studi di Ferrara 2021 – notice: The Author(s), under exclusive licence to The Author(s) under exclusive license to Università degli Studi di Ferrara 2021. |
| DBID | AAYXX CITATION |
| DOI | 10.1007/s11565-021-00380-8 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1827-1510 |
| EndPage | 268 |
| ExternalDocumentID | 10_1007_s11565_021_00380_8 |
| GroupedDBID | -52 -5D -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 1N0 203 23M 2J2 2JN 2JY 2KG 2KM 2LR 2VQ 2~H 30V 4.4 406 408 40D 40E 5GY 5VS 67Z 6NX 8TC 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABDZT ABECU ABFTV ABHLI ABHQN ABJOX ABKCH ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BAPOH BBWZM BDATZ BGNMA CAG COF CS3 CSCUP DDRTE DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 HF~ HG5 HG6 HMJXF HRMNR HVGLF HZ~ IHE IJ- IKXTQ IWAJR IXC IXD IXE IZQ I~X I~Z J-C J0Z JBSCW JZLTJ KDC KOV LLZTM M4Y MA- N2Q NDZJH NF0 NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J P19 P2P P9R PF0 PT4 PT5 QOK QOS R89 R9I RHV RNI ROL RPX RSV RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W48 WK8 YLTOR Z45 ZMTXR ZWQNP ~A9 AAPKM AAYXX ABBRH ABDBE ABFSG ACSTC ADHKG AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION ABRTQ |
| ID | FETCH-LOGICAL-c2348-fe4c353cf96b5228c58fc7d2aa6bdd68778f19e16c74fd48a09344a1894027a53 |
| IEDL.DBID | U2A |
| ISSN | 0430-3202 |
| IngestDate | Thu Sep 25 00:50:55 EDT 2025 Tue Jul 01 02:42:30 EDT 2025 Thu Apr 24 23:07:58 EDT 2025 Fri Feb 21 02:47:51 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | Subgradient extragradient method Iterative scheme 47H10 Fixed-point problem 49J30 90C99 Generalized skew-symmetric bi-functions 47H17 System of mixed equilibrium problems Nonexpansive mapping |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c2348-fe4c353cf96b5228c58fc7d2aa6bdd68778f19e16c74fd48a09344a1894027a53 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-9713-3509 |
| PQID | 2593108585 |
| PQPubID | 2043981 |
| PageCount | 16 |
| ParticipantIDs | proquest_journals_2593108585 crossref_primary_10_1007_s11565_021_00380_8 crossref_citationtrail_10_1007_s11565_021_00380_8 springer_journals_10_1007_s11565_021_00380_8 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20211100 |
| PublicationDateYYYYMMDD | 2021-11-01 |
| PublicationDate_xml | – month: 11 year: 2021 text: 20211100 |
| PublicationDecade | 2020 |
| PublicationPlace | Milan |
| PublicationPlace_xml | – name: Milan – name: Heidelberg |
| PublicationSubtitle | SEZIONE VII - SCIENZE MATEMATICHE |
| PublicationTitle | Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche |
| PublicationTitleAbbrev | Ann Univ Ferrara |
| PublicationYear | 2021 |
| Publisher | Springer Milan Springer Nature B.V |
| Publisher_xml | – name: Springer Milan – name: Springer Nature B.V |
| References | Crombez (CR4) 2005; 26 Solodov, Svaiter (CR17) 1999; 37 Iusem, Svaiter (CR9) 1997; 42 Khobotov (CR10) 1989; 27 Peng, Yao (CR15) 2010; 25 Censor, Gibali, Reich (CR2) 2011; 148 Crombez (CR3) 2006; 27 Opial (CR14) 1967; 73 Goebel, Kirk (CR7) 1990 Farid, Kazmi (CR6) 2019; 27 Blum, Oettli (CR1) 1994; 63 Takahashi, Toyoda (CR18) 2003; 118 Rouhani, Farid, Kazmi (CR16) 2016; 53 CR12 Hartman, Stampacchia (CR8) 1966; 115 Nadezhkina, Takahashi (CR13) 2006; 128 Daniele, Giannessi, Mougeri (CR5) 2003 Korpelevich (CR11) 1976; 12 JW Peng (380_CR15) 2010; 25 E Blum (380_CR1) 1994; 63 (380_CR5) 2003 MV Solodov (380_CR17) 1999; 37 G Crombez (380_CR3) 2006; 27 W Takahashi (380_CR18) 2003; 118 Z Opial (380_CR14) 1967; 73 N Nadezhkina (380_CR13) 2006; 128 G Crombez (380_CR4) 2005; 26 P Hartman (380_CR8) 1966; 115 AN Iusem (380_CR9) 1997; 42 K Goebel (380_CR7) 1990 BD Rouhani (380_CR16) 2016; 53 EN Khobotov (380_CR10) 1989; 27 Y Censor (380_CR2) 2011; 148 M Farid (380_CR6) 2019; 27 GM Korpelevich (380_CR11) 1976; 12 380_CR12 |
| References_xml | – volume: 53 start-page: 89 issue: 1 year: 2016 end-page: 114 ident: CR16 article-title: Common solution to generalized mixed quilibrium problem and fixed point problem for a nonexpansive semigroup in Hilbert space publication-title: J. Korean Math. Soc. doi: 10.4134/JKMS.2016.53.1.089 – volume: 26 start-page: 157 year: 2005 end-page: 175 ident: CR4 article-title: A geometrical look at iterative methods for operators with fixed points publication-title: Numerical Funct. Anal. Optim. doi: 10.1081/NFA-200063882 – volume: 25 start-page: 677 year: 2010 end-page: 698 ident: CR15 article-title: Some new extragradient-like methods for generalized equilibrium problems, fixed point problems and variational inequlity problems publication-title: Optim. Methods Softw. doi: 10.1080/10556780902763295 – volume: 27 start-page: 295 issue: 2 year: 2019 end-page: 325 ident: CR6 article-title: A New mapping for finding a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem publication-title: Korean J. Math. – volume: 115 start-page: 271 year: 1966 end-page: 310 ident: CR8 article-title: On some non-linear elliptic differential-functional equation publication-title: Acta Math. doi: 10.1007/BF02392210 – ident: CR12 – volume: 12 start-page: 747 year: 1976 end-page: 756 ident: CR11 article-title: The extragradient method for finding saddle points and other problems publication-title: Matecon – volume: 128 start-page: 191 year: 2006 end-page: 201 ident: CR13 article-title: Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-005-7564-z – volume: 148 start-page: 318 year: 2011 end-page: 335 ident: CR2 article-title: The subgradient extragradient method for solving variational inequalities in Hilbert space publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-010-9757-3 – year: 1990 ident: CR7 publication-title: Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics doi: 10.1017/CBO9780511526152 – volume: 27 start-page: 259 year: 2006 end-page: 277 ident: CR3 article-title: A hierarchical presentation of operators with fixed points on Hilbert spaces publication-title: Numerical Funct. Anal. Optim. doi: 10.1080/01630560600569957 – volume: 73 start-page: 595 issue: 4 year: 1967 end-page: 597 ident: CR14 article-title: Weak convergence of the sequence of successive approximations for nonexpansive mappings publication-title: Bull. Am. Math. Soc. doi: 10.1090/S0002-9904-1967-11761-0 – volume: 37 start-page: 765 year: 1999 end-page: 776 ident: CR17 article-title: A new projection method for variational inequality problems publication-title: SIAM J. Control Optim. doi: 10.1137/S0363012997317475 – year: 2003 ident: CR5 publication-title: Equilibrium Problems and Variational Models – volume: 118 start-page: 417 year: 2003 end-page: 428 ident: CR18 article-title: Weak convergence theorems for nonexpansive mappings and monotone mappings publication-title: J. Optim. Theory Appl. doi: 10.1023/A:1025407607560 – volume: 27 start-page: 120 year: 1989 end-page: 127 ident: CR10 article-title: Modification of the extra-gradient method for solving variational inequalities and certain optimization problems publication-title: USSR Comput. Math. Math. Phys. doi: 10.1016/0041-5553(87)90058-9 – volume: 63 start-page: 123 year: 1994 end-page: 145 ident: CR1 article-title: From optimization and variational inequalities to equilibrium problems publication-title: Math. Stud. – volume: 42 start-page: 309 year: 1997 end-page: 321 ident: CR9 article-title: A variant of Korpelevich‘s method Weak convergence theorems for variational inequalities with a new search strategy publication-title: Optimization doi: 10.1080/02331939708844365 – volume: 27 start-page: 295 issue: 2 year: 2019 ident: 380_CR6 publication-title: Korean J. Math. – volume: 53 start-page: 89 issue: 1 year: 2016 ident: 380_CR16 publication-title: J. Korean Math. Soc. doi: 10.4134/JKMS.2016.53.1.089 – volume: 63 start-page: 123 year: 1994 ident: 380_CR1 publication-title: Math. Stud. – volume: 115 start-page: 271 year: 1966 ident: 380_CR8 publication-title: Acta Math. doi: 10.1007/BF02392210 – volume: 42 start-page: 309 year: 1997 ident: 380_CR9 publication-title: Optimization doi: 10.1080/02331939708844365 – volume: 148 start-page: 318 year: 2011 ident: 380_CR2 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-010-9757-3 – volume: 26 start-page: 157 year: 2005 ident: 380_CR4 publication-title: Numerical Funct. Anal. Optim. doi: 10.1081/NFA-200063882 – volume: 128 start-page: 191 year: 2006 ident: 380_CR13 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-005-7564-z – volume: 27 start-page: 259 year: 2006 ident: 380_CR3 publication-title: Numerical Funct. Anal. Optim. doi: 10.1080/01630560600569957 – volume-title: Equilibrium Problems and Variational Models year: 2003 ident: 380_CR5 – ident: 380_CR12 – volume-title: Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics year: 1990 ident: 380_CR7 doi: 10.1017/CBO9780511526152 – volume: 27 start-page: 120 year: 1989 ident: 380_CR10 publication-title: USSR Comput. Math. Math. Phys. doi: 10.1016/0041-5553(87)90058-9 – volume: 118 start-page: 417 year: 2003 ident: 380_CR18 publication-title: J. Optim. Theory Appl. doi: 10.1023/A:1025407607560 – volume: 73 start-page: 595 issue: 4 year: 1967 ident: 380_CR14 publication-title: Bull. Am. Math. Soc. doi: 10.1090/S0002-9904-1967-11761-0 – volume: 12 start-page: 747 year: 1976 ident: 380_CR11 publication-title: Matecon – volume: 37 start-page: 765 year: 1999 ident: 380_CR17 publication-title: SIAM J. Control Optim. doi: 10.1137/S0363012997317475 – volume: 25 start-page: 677 year: 2010 ident: 380_CR15 publication-title: Optim. Methods Softw. doi: 10.1080/10556780902763295 |
| SSID | ssj0054419 |
| Score | 2.2358382 |
| Snippet | Our study in this paper is focused on mixed equilibrium problems as well as combination with and fixed point problems in real Hilbert spaces. We introduce a... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 253 |
| SubjectTerms | Algebraic Geometry Analysis Fixed points (mathematics) Geometry Hilbert space History of Mathematical Sciences Iterative algorithms Iterative methods Mathematics Mathematics and Statistics Numerical Analysis |
| Title | Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces |
| URI | https://link.springer.com/article/10.1007/s11565-021-00380-8 https://www.proquest.com/docview/2593108585 |
| Volume | 67 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV09T8MwELWALjAgPkULVB7YIFJiO4k9FkSpQO3USmUKjmNDpDYtpBX8fM5p0gikIjFlOMfD3eX8Lr57h9AVkwlxtRYOIzp2mDCBExMlnNj4lMjYDbWwjcL9QdAbscexPy6bwvKq2r26kiwidd3sBqmG7SaG9Nel3HX4Nmr4lk8KvHhEOlX8tUO1CtDLKEQYYut3Wpv3-Hkc1Rjz17Vocdp0D9B-CRNxZ2XXQ7SlsyO0119zrObH6GX4OcNy8jqD9P5tmmNAnxgcyf4gwNP0SydYvy_ToqR_OcXl4JgcyyzBphDPZ2m2qAVphnupZbxaYIgyED5O0Kh7P7zrOeW8BEcRyrhjNFPUp8qIIAZYxZXPjQoTImUQJ0nAw5AbT2gvUCEzCePSFZQx6XEBSWQofXqKdrJZps8QBhAFmSFTQSI1EwyEwhU81sazN9WBbiKvUlukSjJxO9NiEtU0yFbVEag6KlQd8Sa6Xr8zX1Fp_Ln6orJGVH5WeQS5GrXtEtxvopvKQrV4826t_y0_R7vEOknRc3iBdhYfS30J4GMRt1Gj0729Hdjnw_PTfbvwvW_YeNJJ |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3NT4MwFG90HtSD8TNuTu3Bm5JAW6A9LsYFddtpS3bDUlol2WAKi_75tgxGNJmJ51d6eK99_f14XwDcEB4jW0pmESQjizDlWRESzIqUixGPbF8yUyg8HHnBhDxN3WlVFJbX2e51SLL01E2xm6YapppY018bU9ui22DHhBkN5ZqgXu1_zVCtEvQSrD0MMvk7nc17_HyOGoz5Kyxavjb9Q3BQwUTYW9n1CGzJ9BjsD9c9VvMT8DL-zCCfvWaa3r_Nc6jRJ9QHyfwggPPkS8ZQvi-TMqV_OYfV4Jgc8jSGqhQvsiQtGkGSwiAxHa8KqL2Mdh-nYNJ_GN8HVjUvwRIIE2opSQR2sVDMizSsosKlSvgx4tyL4tijvk-Vw6TjCZ-omFBuM0wIdyjTJNLnLj4DrTRL5TmAGkRpZkiEF3NJGNFCZjMaSeWYSLUn28Cp1RaKqpm4mWkxC5s2yEbVoVZ1WKo6pG1wu_5msWql8efqbm2NsLpWeai5GjblEtRtg7vaQo14826d_y2_BrvBeDgIB4-j5wuwh8yBKesPu6BVfCzlpQYiRXRVnrtvkffSHA |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3PT9swFH5irYS2w8bY0MqA-cANAknsJPYRjZYyaLVDK7FT5p8QjaYdTbVpf_3sNGlGJSZNOz_HSuzn5-_F_r4HcEi4Cn2tmUdCLTzCTOyJUDJPmAiHXPiJZo4oPBjG_TH5dBPd_MHiL2-710eSS06DU2nKi9OZMqcN8c2mHY5ZbFNhH1Pfo8-gTVwNiRa0zy6-XHXraOxKbJUQmGAbb0J3m2f36V4eb04N4lw7JC33nt4r4PVbL6-cfDtZFOJE_loTdPyfz9qClxUwRWdLT3oNGzrfhheDlarr_A18Hf2YIn5_O33IirvJHFm8i6zrul8SaJL91Arp74usJBEsJqgqVTNHPFfIlObZNMuLxpDlqJ85ja0C2bhmA9ZbGPe6o499r6rQ4MkQE-oZTSSOsDQsFhbIURlRIxMVch4LpWKaJNQETAexTIhRhHKfYUJ4QJlNWxMe4R1o5dNcvwNkYZvNRYmMFdeEEWtkPqNCm8Cdjce6A0E9Nams5MtdFY37tBFedqOX2tFLy9FLaQeOVs_MluIdf229V894Wi3keWqzQ-wIGjTqwHE9gY356d52_635B9j8fN5Lry-HV-_heehcoCQ87kGreFjofYt8CnFQOfdv7Nn38A |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Two+algorithms+for+solving+mixed+equilibrium+problems+and+fixed+point+problems+in+Hilbert+spaces&rft.jtitle=Annali+dell%27Universit%C3%A0+di+Ferrara.+Sezione+7.+Scienze+matematiche&rft.au=Farid+Mohammad&rft.date=2021-11-01&rft.pub=Springer+Nature+B.V&rft.issn=0430-3202&rft.eissn=1827-1510&rft.volume=67&rft.issue=2&rft.spage=253&rft.epage=268&rft_id=info:doi/10.1007%2Fs11565-021-00380-8&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0430-3202&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0430-3202&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0430-3202&client=summon |