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June 2017 Common Fixed Points for Nonlinear $(\psi ,\varphi)_{s}$-weakly $C$-contractive Mappings in Partially Ordered $b$-metric Spaces
Mina DINARVAND, Jamal REZAEI ROSHAN
Tokyo J. Math. 40(1): 97-121 (June 2017). DOI: 10.3836/tjm/1502179218

Abstract

In this paper, we introduce the concept of $(\psi ,\varphi)_{s}$-weakly $C$-contractive mappings in the setup of partially ordered $b$-metric spaces and investigate some fixed point and common fixed point results for such mappings. Our main results generalize several well-known comparable results in the recent literature. Furthermore, we furnish some suitable examples and an applications of a common solution for a system of integral equations to illustrate the effectiveness and usability of our obtained results.

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Mina DINARVAND. Jamal REZAEI ROSHAN. "Common Fixed Points for Nonlinear $(\psi ,\varphi)_{s}$-weakly $C$-contractive Mappings in Partially Ordered $b$-metric Spaces." Tokyo J. Math. 40 (1) 97 - 121, June 2017. https://doi.org/10.3836/tjm/1502179218

Information

Published: June 2017
First available in Project Euclid: 8 August 2017

zbMATH: 06787090
MathSciNet: MR3689981
Digital Object Identifier: 10.3836/tjm/1502179218

Subjects:
Primary: 47H10
Secondary: ‎54E50‎, 54H25

Rights: Copyright © 2017 Publication Committee for the Tokyo Journal of Mathematics

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Vol.40 • No. 1 • June 2017
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