## Tokyo Journal of Mathematics

### Common Fixed Points for Nonlinear $(\psi ,\varphi)_{s}$-weakly $C$-contractive Mappings in Partially Ordered $b$-metric Spaces

#### 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.

#### Article information

Source
Tokyo J. Math., Volume 40, Number 1 (2017), 97-121.

Dates
First available in Project Euclid: 8 August 2017

https://projecteuclid.org/euclid.tjm/1502179218

Digital Object Identifier
doi:10.3836/tjm/1502179218

Mathematical Reviews number (MathSciNet)
MR3689981

Zentralblatt MATH identifier
06787090

#### Citation

REZAEI ROSHAN, Jamal; DINARVAND, Mina. Common Fixed Points for Nonlinear $(\psi ,\varphi)_{s}$-weakly $C$-contractive Mappings in Partially Ordered $b$-metric Spaces. Tokyo J. Math. 40 (2017), no. 1, 97--121. doi:10.3836/tjm/1502179218. https://projecteuclid.org/euclid.tjm/1502179218

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