Proximal point algorithm for nonlinear multivalued type mappings in Hadamard spaces. (18th March 2019)

• Record Type: Journal Article
• Authors: Kumam, Wiyada; Kitkuan, Duangkamon; Padcharoen, Anantachai; Kumam, Poom
• Other Names: Vigo-Aguiar Jesus guestEditor.; Kumam Poom guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 17(2019)
• Page Start: 5758
• Page End: 5768
• Publication Date: 2019-03-18
• Subjects: CAT(0) spaces -- common fixed points -- convex minimization problems -- nonlinear multivalued mappings -- proximal point algorithm; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5552
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we modify the proximal point algorithm for finding common fixed points in CAT(0) spaces for nonlinear multivalued mappings and a minimizer of a convex function and prove Δ‐convergence of the proposed algorithm. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature.