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Proximal point algorithm for nonlinear multivalued type mappings in Hadamard spaces
Author(s) -
Kumam Wiyada,
Kitkuan Duangkamon,
Padcharoen Anantachai,
Kumam Poom
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5552
Subject(s) - mathematics , convergence (economics) , hadamard transform , nonlinear system , type (biology) , convex function , regular polygon , fixed point , function (biology) , point (geometry) , algorithm , mathematical analysis , geometry , ecology , physics , quantum mechanics , evolutionary biology , economics , biology , economic growth
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.