FIXED POINT THEOREM FOR WEAKLY CONTRACTIVE MAPS IN METRICALLY CONVEX SPACES UNDER C-CLASS FUNCTION

Ladlay Khan

Nonlinear Functional Analysis and Applications Department of Mathematics Education, Kyungnam University, Korea

ISSN (Print) 1229-1595 ISSN (Online) 2466-0973

FIXED POINT THEOREM FOR WEAKLY CONTRACTIVE MAPS IN METRICALLY CONVEX SPACES UNDER C-CLASS FUNCTION

Authors

Ladlay Khan Department of Mathematics, Mewat Engineering College

Abstract

In this paper, we shall prove a fixed point theorem for weakly contractive mappings which satisfies a generalized contraction condition on a complete metrically convex metric spaces by using a function say (C−class function). The result in this paper generalizes the relevant results due to Khan and Imdad [14], Rhoades [16], Alber and Guerre-Delabriere [2] and others.