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S.Banach, Sur les opérations dans les ensembles abstraits et leur application aux equations itegrales, Fund. Math., 3 (1922) 133-181.

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Article

Generalization of Fixed Point Results via Iterative Process of F-Contraction

1Department of Basic Sciences, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan Pakistan

2Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 4, 132-138
DOI: 10.12691/tjant-5-4-3
Copyright © 2017 Science and Education Publishing

Cite this paper:
Aftab Hussain, Arshad Muhammad. Generalization of Fixed Point Results via Iterative Process of F-Contraction. Turkish Journal of Analysis and Number Theory. 2017; 5(4):132-138. doi: 10.12691/tjant-5-4-3.

Correspondence to: Aftab  Hussain, Department of Basic Sciences, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan Pakistan. Email: aftabshh@gmail.com

Abstract

The aim of this paper to discuss generalized iterative process of F-contraction and establish new fixed point theorems in complete metric spaces. As an application of our results, we prove existence and uniqueness of functional equations and system of differential equations. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.

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