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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Bibliographic Details
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
Subjects
binary relation
comparison function
Differential equations
fixed point
Jc‐contraction
Mathematical analysis
matrix equation
Matrix methods
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ISSN0170-4214
1099-1476
DOI10.1002/mma.6689

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Summary: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.
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6689