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COMMON FIXED POINTS FOR WEAKENED COMPATIBLE MAPPINGS SATISFYING THE GENERALIZED ϕ-WEAK CONTRACTION CONDITION

Jain, Deepak;Kumar, Sanjay;Jung, Chahn Yong

  • Received : 2018.10.05
  • Accepted : 2019.03.29
  • Published : 2019.05.31

Abstract

In this paper, we prove some common fixed point theorems for pairs of weakened compatible mappings (subcompatible and occasionally weakly compatible mappings) satisfying a generalized ${\phi}-weak$ contraction condition involving various combinations of the metric functions. In fact, our results improve the results of Jain et al.. Also we provide an example for validity of our results.

Keywords

${\phi}-weak$ contraction;subcompatible mappings;occasionally weakly compatible mappings;property (E.A)