FIXED POINTS OF ALMOST CONTRACTIVE TYPE MAPPINGS IN PARTIALLY ORDERED B-METRIC SPACES AND APPLICATIONS TO QUADRATIC INTEGRAL EQUATIONS

Mina Dinarvand

DOI Number
-
First page
775
Last page
800

Abstract


The purpose of this paper is to present a new class of almost contractive mappings called almost generalized $(\psi,\varphi,\theta)_{s}$-contractive mappings and to establish some fixed point and common fixed point results for this class of mappings in partially ordered $b$-metric spaces. Our main results of the paper significantly generalize and improve many well known comparable results in the recent literature. Moreover, some examples and an application to the existence of a solution for a class of nonlinear quadratic integral equations is given here to illustrate the usability of the obtained results.

Keywords

common fixed point; fixed point; almost contractive mapping; partially ordered b-metric space

Keywords


common fixed point; fixed point; almost contractive mapping; partially ordered $b$-metric space

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References


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