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This paper is a continuation of the investigations of F-contraction. The aim of this article is to extend the concept of Fcontraction on closed ball. We introduce the notion of Ćirić type multivalued F-contraction on closed ball and establish new fixed point theorems for Ćirić type multivalued F-contraction on closed ball in a complete metric space. Our results are very useful for the contraction of the mapping only on closed ball instead on the whole space. Some comparative examples are constructed whose 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. c ©2017 All rights reserved.

New type of multivalued F-contraction involving fixed points on closed ball