CONNECTION OF CIRIC TYPE F-CONTRACTION INVOLVING FIXED POINT ON CLOSED BALL

Authors : Aftab Hussain, Muhammad Arshad, Muhammad Nazim

Pages : 283-291

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Publication Date : 2017-03-14

Article Type : Other Papers

Abstract :This paper is a continuation of the investigations of F-contractions. The aim of this article is to extend the concept of Ćirić type F-contraction in closed ball. We introduce the notion of F-contraction on closed ball and introduced new approach of fixed point theorems for F-contraction on closed ball in a complete metric space. Our results is very useful for the contraction of the mapping only on closed ball instead on the whole space. Some comparative examples are constructed which illustrate the superiority of our results. Our results provide 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