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

Year 2024, Volume: 73 Issue: 1, 104 - 121, 16.03.2024

Gutti V. R. Babu Madugula Vınod Kumar

https://doi.org/10.31801/cfsuasmas.1127143

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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