PPF Dependent common fixed points of generalized weakly contractive type multi-valued mappings

Abstract

In this paper, we introduce the notion of generalized weakly contractive type multi-valued mapping with respect to a single-valued mapping and prove the existence of PPF dependent coincidence points in Banach spaces. Further, we introduce the notion of generalized weakly contractive type multivalued mappings for a pair of multi-valued mappings and prove the existence of PPF dependent common fixed points in Banach spaces. We draw some corollaries and provide nontrivial examples to illustrate our results.

Keywords

• Multi-valued mapping
• Razumikhin class
• PPF dependent coincidence point
• PPF dependent fixed point
• PPF dependent common fixed point

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