# ĆIRIĆ TYPE ALPHA-PSI F-CONTRACTION INVOLVING FIXED POINT ON A CLOSED BALL

Hussain, Aftab

• Received : 2017.09.25
• Accepted : 2019.01.03
• Published : 2019.03.25
• 237 9

#### Abstract

The article is written with a view to introducing the new idea of an F-contraction on a closed ball and have new ${\acute{C}}iri{\acute{c}}$ type fixed point theorems in the framework of 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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