On weak and strong convergence of an explicit iteration process for a total asymptotically quasi-I-nonexpansive mapping in Banach space

DOI10.2298/FIL1408699KzbMath1466.47036OpenAlexW2073585731MaRDI QIDQ2975612

Publication date: 11 April 2017

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1408699k

zbMATH Keywords

uniformly convex Banach space common fixed point weak and strong convergence explicit iterations total asymptotically quasi-I-nonexpansive self-mappings total uniformly L-Lipschitzian maps

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

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Generalized nearly asymptotically nonexpansive mappings and a system of generalized variational-like inclusions: iterative method and approximation of common solutions ⋮ Graph convergence with an application for system of variational inclusions and fixed-point problems ⋮ Iterative algorithm for fixed point problems of generalized nearly asymptotically nonexpansive mappings and solutions of a system of generalized nonlinear variational-like inclusions ⋮ A proximal iterative algorithm for system of generalized nonlinear variational-like inequalities and fixed point problems ⋮ System of generalized variational-like inclusions involving \((P,\eta)\)-accretive mapping and fixed point problems in real Banach spaces ⋮ Total asymptotically nonexpansive mappings and generalized variational-like inclusion problems in semi-inner product spaces ⋮ Variational inclusion problem and total asymptotically nonexpansive mapping: graph convergence, algorithms and approximation of common solutions

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