Abstract
This paper is a continuation of the investigations of F-contraction. The aim of this article is to extend the concept of F contraction on closed ball. We introduce the notion of Ciric type multivalued F-contraction on closed ball and establish new fixed point theorems for Ciric 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.