On Jc‐contraction and related fixed‐point problem with applications

We introduce Jc‐contraction, which encompasses both F‐contraction and JS‐contraction. We investigate a fixed‐point problem subject to Jc‐contraction. The existence of the solutions to the linear matrix equation and system of fractional differential equations are discussed by the application of obtai...

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Published inMathematical methods in the applied sciences Vol. 43; no. 17; pp. 10221 - 10236
Main Author Nazam, Muhammad
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.11.2020
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ISSN0170-4214
1099-1476
DOI10.1002/mma.6689

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Abstract We introduce Jc‐contraction, which encompasses both F‐contraction and JS‐contraction. We investigate a fixed‐point problem subject to Jc‐contraction. The existence of the solutions to the linear matrix equation and system of fractional differential equations are discussed by the application of obtained results.
AbstractList We introduce Jc‐contraction, which encompasses both F‐contraction and JS‐contraction. We investigate a fixed‐point problem subject to Jc‐contraction. The existence of the solutions to the linear matrix equation and system of fractional differential equations are discussed by the application of obtained results.
Author Nazam, Muhammad
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References 2011; 2011
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References_xml – volume: 2014
  start-page: 11
  year: 2014
  article-title: Some fixed point theorems concerning ‐contraction in complete dualistic partial metric spaces
  publication-title: Fixed Point Theory Appl
– year: 1981
– volume: 132
  start-page: 1435
  year: 2003
  end-page: 1443
  article-title: A fixed point theorem in partially ordered sets and some applications to matrix equations
  publication-title: Proc Am Math Soc
– volume: 10
  start-page: 767
  year: 2018
  article-title: Relation theoretic (Θ,ℜ) contraction results with applications to nonlinear matrix equations
  publication-title: Symmetry
– volume: 116
  start-page: 708
  issue: 8
  year: 2009
  end-page: 718
  article-title: Partial metric spaces
  publication-title: Amer Math Monthly
– volume: 2013
  start-page: 83
  year: 2013
  article-title: On a nonlinear fractional differential equation on partially ordered metric spaces
  publication-title: Adv Differ Equ
– year: 2000
– volume: 10
  start-page: 383
  issue: 2
  year: 2016
  end-page: 393
  article-title: A unified version of Ran and Reurings theorem and Nieto and Rodra iguez‐LApezs theorem and low‐dimensional generalizations
  publication-title: Appl Math Inf Sci
– volume: 18
  start-page: 277
  issue: 2
  year: 2017
  end-page: 287
  article-title: Existence of common fixed points of improved ‐contraction on partial metric spaces
  publication-title: Appl Gen Topol
– volume: 19
  start-page: 1711
  year: 2017
  end-page: 1725
  article-title: Fixed point theorems for F ‐contractions with applications to solution of nonlinear matrix equations
  publication-title: J Fixed Point Theory Appl
– volume: 2011
  start-page: 89
  year: 2011
  article-title: Solving systems of nonlinear matrix equations involving Lipschitzian mappings
  publication-title: Fixed Point Theory Appl
– volume: 2013
  start-page: 359
  year: 2013
  article-title: The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
  publication-title: Adv Differ Equ
– volume: 728
  start-page: 183
  year: 1995
  end-page: 197
  article-title: Partial metric topology
  publication-title: Ann New York Acad Sci
– volume: 2019
  start-page: 11
  year: 2019
  article-title: Common fixed point theorems for rational F ‐contractive pairs of mappings with applications
  publication-title: J Inequal Appl
– volume: 371
  year: 2013
  article-title: Some existence results on nonlinear fractional differential equations
  publication-title: Philos Trans ‐ Royal Soc, Math Phys Eng Sci
– volume: 160
  start-page: 450
  year: 2013
  end-page: 454
  article-title: Be careful on partial metric fixed point results
  publication-title: Topology and its Applications
– volume: 25
  start-page: 1638
  year: 2012
  end-page: 1643
  article-title: Solving a class of matrix equations via the Bhaskar‐Lakshmikantham coupled fixed point theorem
  publication-title: Appl Math Lett
– volume: 204
  year: 2006
– volume: 2014
  start-page: 439
  year: 2014
  article-title: Further generalizations of the Banach contraction principle
  publication-title: J Inequal Appl
– volume: 134
  start-page: 109705
  year: 2020
  article-title: A new study on the mathematical modelling of human liver with Caputo‐Fabrizio fractional derivative
  publication-title: Chaos, Solitons Fractals
– volume: 2012
  start-page: 94
  year: 2012
  article-title: Fixed points of a new type of contractive mappings in complete dualistic partial metric spaces
  publication-title: Fixed Point Theory Appl
– year: 1997
– volume: 69
  start-page: 126
  issue: 2
  year: 2017
  end-page: 132
  article-title: Towards cantor intersection theorem and Baire category theorem in partial metric spaces
  publication-title: Matematicki Vesnik
– volume: 17
  start-page: 693
  issue: 4
  year: 2015
  end-page: 702
  article-title: Relation‐theoretic contraction principle
  publication-title: Fixed Point Theory
– volume: 9
  start-page: 4127
  year: 2016
  end-page: 4136
  article-title: Some fixed point theorems concerning ‐type contraction in complete metric spaces
  publication-title: J Nonlinear Sci Appl
– volume: 2019
  start-page: 79
  year: 2019
  article-title: On fractional integro‐differential inclusions via the extended fractional Caputo‐Fabrizio derivation
  publication-title: Boundary Value Problems
– volume: 2020
  start-page: 55
  year: 2020
  article-title: Analyzing transient response of the parallel RCL circuit by using the Caputo‐Fabrizio fractional derivative
  publication-title: Adv Differ Equ
– volume: 2020
  start-page: 71
  year: 2020
  article-title: Analysis of the model of HIV‐1 infection of T‐cell with a new approach of fractional derivative
  publication-title: Adv Differ Equ
– volume: 2014
  start-page: 38
  year: 2014
  article-title: A new generalization of the Banach contraction principle
  publication-title: J Inequal Appl
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Snippet We introduce Jc‐contraction, which encompasses both F‐contraction and JS‐contraction. We investigate a fixed‐point problem subject to Jc‐contraction. The...
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SubjectTerms binary relation
comparison function
Differential equations
fixed point
Jc‐contraction
Mathematical analysis
matrix equation
Matrix methods
Title On Jc‐contraction and related fixed‐point problem with applications
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