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JHR-operator pairs in C*-algebra-valued modular metric spaces and related fixed point results via C-*-class functions

Authors
Moeini, BahmanAnsari, Arsalan HojatPark, Choonkil
Issue Date
Mar-2018
Publisher
SPRINGER BASEL AG
Keywords
C*-algebra-valued modular metric space; C-*-class function; JHR-operator pair; common fixed point; weakly compatible; integral equation
Citation
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.20, no.1, pp.1 - 23
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
Volume
20
Number
1
Start Page
1
End Page
23
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150432
DOI
10.1007/s11784-018-0516-7
ISSN
1661-7738
Abstract
In this paper, we define JHR-operator pairs in a C*-algebravalued modular metric space. Next, by using C-*-class functions, some common fixed point theorems are established for such mappings. Also, to support and elaborate our results, some examples are given and an application is provided for a system of nonlinear integral equations.
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