Strong convergence theorems for nonlinear operator equations with total quasi-\(\varphi\)-asymptotically nonexpansive mappings and applications

DOI10.1186/1687-1812-2012-34zbMath1475.47079OpenAlexW2100053207WikidataQ59290872 ScholiaQ59290872MaRDI QIDQ368411

Yu-guang Xu, Lin Wang, Yong Kun Tang, Xiong Rui Wang, Shi Sheng Zhang

Publication date: 23 September 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-34

zbMATH Keywords

variational inequalitiesfixed pointgeneralized mixed equilibrium problemsrelatively nonexpansive mappingHammerstein type equationquasi-\(\varphi\)-asymptotically nonexpansive mappingstotal quasi-\(\varphi\)-asymptotically nonexpansive mappings

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence for total quasi-\(\phi\)-asymptotically nonexpansive semigroups in Banach spaces ⋮ Strong convergence theorems for two total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces ⋮ Some iterative algorithms for approximating solutions of nonlinear operator equations in Banach spaces

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