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

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

• Accepted : 2019.03.29
• Published : 2019.05.31
• 19 1

#### 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)