New Approach of F-Contraction Involving Fixed Point on a Closed Ball

Aftab Hussain^{1, 2,}

¹Department of Mathematics, International Islamic University, H-10, Islam-abad, Pakistan

²Department of Mathematical Sciences, Lahore Leads University, Lahore, Pakistan

Cite this paper:
Aftab Hussain. New Approach of F-Contraction Involving Fixed Point on a Closed Ball. Turkish Journal of Analysis and Number Theory. 2016; 4(6):159-163. doi: 10.12691/tjant-4-6-2

Abstract

The article is written with a view to introducing the new idea of F-contraction on a closed ball and have new theorems in a complete metric space. That is why this outcome becomes useful for the contraction of the mapping on a closed ball instead of the whole space. At the same time, some comparative examples are constructed which establish the superiority of our results. It can be stated that the results that have come into being give proof of extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.

Keywords:
metric space fixed point F contraction closed ball

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