Halpern's iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application

DOI10.1186/1687-1812-2013-197zbMath1346.47050OpenAlexW2131230898WikidataQ59301117 ScholiaQ59301117MaRDI QIDQ2253224

Hong Bo Liu, Yi Li, Ke-long Zheng

Publication date: 25 July 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-197

zbMATH Keywords

fixed pointLegendre functionsBregman projectionBregman strongly nonexpansive multi-valued mappingHalpern's iteration sequence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Programming in abstract spaces (90C48) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued mappings in reflexive Banach spaces with application ⋮ Novel inertial methods for fixed point problems in reflexive Banach spaces with applications ⋮ A new multi-step iterative algorithm for approximating common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings ⋮ Strong convergence results of two-steps modifying Halpern's iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application ⋮ A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces

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