Multivalued fixed point results in dislocated b-metric spaces with application to the system of nonlinear integral equations

Abstract

The purpose of this paper is to find out fixed point results for a pair of semi α*-dominated multivalued mappings fulfilling a generalized locally F-dominated multivalued contractive condition on a closed ball in complete dislocated b-metric space. Some new fixed point results with graphic contractions on closed ball for a pair of multi graph dominated mappings on dislocated b-metric space have been established. An application to the existence of unique common solution of a system of integral equations is presented. 2010 Mathematics Subject Classification: 46Txx, 47H04, 47H10; 54H25.