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

Authors : Gutti V. R. Babu, Madugula Vınod Kumar

Pages : 104-121

Doi:10.31801/cfsuasmas.1127143

View : 26 | Download : 117

Publication Date : 2024-03-16

Article Type : Research Paper

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