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Proximal point algorithm for nonlinear multivalued type mappings in Hadamard spaces
Authors:Wiyada Kumam  Duangkamon Kitkuan  Anantachai Padcharoen  Poom Kumam
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.
Keywords:CAT(0) spaces  common fixed points  convex minimization problems  nonlinear multivalued mappings  proximal point algorithm
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