## Tokyo Journal of Mathematics

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

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

Mina DINARVAND and Jamal REZAEI ROSHAN

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#### 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

**Permanent link to this document**

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

**Digital Object Identifier**

doi:10.3836/tjm/1502179218

**Mathematical Reviews number (MathSciNet)**

MR3689981

**Zentralblatt MATH identifier**

06787090

**Subjects**

Primary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

Secondary: 54H25: Fixed-point and coincidence theorems [See also 47H10, 55M20] 54E50: Complete metric spaces

#### 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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