A New Common Fixed-Point Theorem for Two Pairs of Mappings in Parametric Metric Space
Anil Bakhru, Manoj Ughade, Richa Gupta
Journal of Advances in Mathematics and Computer Science · pp. 87–105 · Published 4 Jul 2020
10.9734/jamcs/2020/v35i430273Abstract
Our aim of this paper is to prove a new general common fixed point theorem for two pair of mappings under a different set of conditions using the idea of weakly compatible mappings satisfying a general class of contractions defined by an implicit relation in the frame work of parametric metric space, which unify, extend and generalize most of the existing relevant common fixed point theorems from the literature. Some related results and illustrative an example to highlight the realized improvements is also furnished.
Cited by 2
Thounaojam Stephen, Yumnam Rohen, Nabil Mlaiki · Journal of Inequalities and Applications · 2021
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