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.
Citation
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