RELATIONS BETWEEN GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS

In this paper, we consider generalized vector variational-like inequalities involving Dini subdifferential. Some relations among these inequalities and vector optimization problems are presented. 2010Mathematics Subject Classification: 49J52, 49J53, 92C26, 49J40, 65K10. Key words and phrases: Dini d...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 16; no. 3; pp. 987 - 998
Main Authors Al-Homidan, Suliman, Ansari, Qamrul Hasan
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.06.2012
Subjects
Arab monarchies
Directional derivatives
Mathematical inequalities
Mathematical relations
Mathematical vectors
Minerals
Petroleum
Sufficient conditions
Variational inequalities
Vector valued functions
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ISSN1027-5487
2224-6851
2224-6851
DOI10.11650/twjm/1500406670

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Summary:In this paper, we consider generalized vector variational-like inequalities involving Dini subdifferential. Some relations among these inequalities and vector optimization problems are presented. 2010Mathematics Subject Classification: 49J52, 49J53, 92C26, 49J40, 65K10. Key words and phrases: Dini directional derivatives, Dini subdifferentials, Generalized vector variational-like inequalities, Vector optimization problems.
ISSN:1027-5487
2224-6851
2224-6851
DOI:10.11650/twjm/1500406670