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Bondar K.L. Some fixed point theorems for contractive type mappings on Hausdorff space International Mathematical Forum Vol.6, no.49, 2403-2408 (2011).

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Article

Generalization of Common Fixed Point Theorems for Two Mappings

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


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 6, 230-239
DOI: 10.12691/tjant-5-6-5
Copyright © 2017 Science and Education Publishing

Cite this paper:
Mumtaz Ali, 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.

Correspondence to: Mumtaz  Ali, Department of Mathematics, International Islamic University, Islamabad, Pakistan. Email: mumtaz6767@yahoo.com

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.

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