Iterative Approximation of Endpoints for Multivalued Mappings in Banach Spaces
Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Nabil Mlaiki
Abstract
The purpose of this paper is to introduce the modified Agarwal-O’Regan-Sahu iteration process (S-iteration) for finding endpoints of multivalued nonexpansive mappings in the setting of Banach spaces. Under suitable conditions, some weak and strong convergence results of the iterative sequence generated by the proposed process are proved. Our results especially improve and unify some recent results of Panyanak (J. Fixed Point Theory Appl. (2018)). At the end of the paper, we offer an example to illustrate the main results.
Topics & Concepts
Banach spaceMathematicsSequence (biology)Convergence (economics)Fixed pointIterative and incremental developmentApplied mathematicsProcess (computing)Iterative methodMathematical optimizationPure mathematicsMathematical analysisComputer scienceEconomicsBiologyOperating systemEconomic growthSoftware engineeringGeneticsOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research