%0 Journal Article %T Multivalued F-Contraction Involving Fixed Point in Closed Ball %J Communications in Nonlinear Analysis %I Research & Science Group Ltd. %Z 2371-7920 %A Hussain, Aftab %A Arshad, Muhammad %A Nazam, Muhammad %D 2016 %\ 11/01/2016 %V 2 %N 1 %P 104-112 %! Multivalued F-Contraction Involving Fixed Point in Closed Ball %K metric space %K fixed point %K F contraction %K closed ball %R %X This paper is a continuation of the investigations of F-contraction. The aim of this article is to extendthe concept of F-contraction on a closed ball. We introduce the notion of multivalued F-contraction ona closed ball and establish new fixed point theorems in a complete metric space. Our results are veryuseful for the contraction of the mapping only on closed ball instead on the whole space. Some comparativeexamples are constructed which illustrate the superiority of our results. Our results provide extension as wellas substantial generalizations and improvements of several well known results in the existing comparableliterature. %U