Existence And Convergence Theorems For Multivalued Generalized Hybrid Mappings In Cat({\kappa})-Space

TL;DR

This paper introduces new multivalued hybrid mappings in CAT(κ)-spaces, providing existence and convergence theorems that extend previous results in the field.

Contribution

It defines more general multivalued hybrid mappings and establishes their existence and convergence properties in CAT(κ)-spaces, broadening the scope of fixed point theory.

Findings

Existence of fixed points for the new mappings

Convergence of iterative sequences to fixed points

Extension of classical results to more general mappings

Abstract

In this study, we give definition of some multivalued hybrid mappings which are general than many mappings in the existing literature, then we give some existence and convergence results for these mappings in CAT({\kappa})-spaces