Common fixed point theorems without continuity and compatible property of maps

Keywords: Common fixed point, continuity, compatibility, integral type

Abstract

In this paper, without assuming continuity, commutativity and compatibility of self maps, some common fixed theorem for weak contraction of integral type in complete metric spaces are proved. An example and some remarks are also given to justify that our contraction is new and weaker than other existing contractions.

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Author Biography

Vishal Gupta, Maharishi Markandeshwar University

Associate Professor,

Department of Mathematics

Published
2016-04-30
Section
Articles