Generalization of Common Fixed Point Theorems for Two Mappings

Mumtaz Ali^1, and Muhammad Arshad¹

¹Department of Mathematics, International Islamic University, Islamabad, Pakistan

Cite this paper:
Mumtaz Ali and Muhammad Arshad. Generalization of Common Fixed Point Theorems for Two Mappings. Turkish Journal of Analysis and Number Theory. 2017; 5(6):230-239. doi: 10.12691/tjant-5-6-5

Abstract

In this paper we study and generalize some common fixed point theorems in compact and Hausdorff spaces for a pair of commuting mappings with new contraction conditions. The results presented in this paper include the generalization of some fixed point theorems of Fisher, Jungck, Mukherjee, Pachpatte and Sahu and Sharma.

Keywords:
contraction mapping fixed point compact metric space

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