Unified multivalued interpolative Reich–Rus–Ćirić-type contractions

Abstract

Abstract This article examines new multivalued interpolative Reich–Rus–Ćirić-type contraction conditions and fixed point results for multivalued maps that fulfill these conditions. Earlier defined interpolative contraction type conditions cannot be particularized to any contraction type condition. This slackness of the interpolative contraction type condition is addressed through new multivalued interpolative Reich–Rus–Ćirić-type contraction conditions.

Keywords

• Fixed points
• b-metric spaces
• Interpolative Kannan contraction
• Interpolative contraction type conditions