Common fixed point results for two families of multivalued A–dominated contractive mappings on closed ball with applications

Abstract

The purpose of this paper is to find common fixed point results for two families of multivalued mappings fulfilling generalized rational type A–dominated contractive conditions on a closed ball in complete dislocated b-metric spaces. Some new fixed point results with graphic contractions on a closed ball for two families of multi-graph dominated mappings on dislocated b-metric space have been established. An application to the unique common solution of two families of nonlinear integral equations is presented to show the novelty of our results.

Keywords

• fixed point
• closed ball
• two families of multivalued mapping
• dislocated b–metric space
• application to the system of integral equations
• 47h10
• 54h25