Common Attractive Point Theorems for a Finite Family of Multivalued Nonexpansive Mappings in Banach Spaces

Authors : Atit WİRİYAPONGSANON, Warunun INTHAKON, Narawadee PHUDOLSİTTHİPHAT

Pages : 372-386

Doi:10.53006/rna.1128729

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Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :OurmainpurposeofthispaperistointroducethemodifiedMannandIshikawaiteratesforfindingacommonattractive point of a finite family of multivalued nonexpansive mappings in the setting of uniformly convex Banach spaces. We obtain necessary and sufficient conditions to guarantee the strong convergence of the proposed algorithms without closedness of the domain of such mappings. Moreover, we derive some consequences from our main result to fixed point result of such mappings. Finally, the numerical results are provided to support our main theorem.
Keywords : common attractive point, multivalued nonexpansive mapping, uniformly convex Banach space, demicompact