Strong convergence theorems of the Halpern-Mann's mixed iteration for a totally quasi-\(\phi\)-asymptotically nonexpansive nonself multi-valued mapping in Banach spaces
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Publication:2258653
DOI10.1186/1029-242X-2014-225zbMath1309.47072WikidataQ59323732 ScholiaQ59323732MaRDI QIDQ2258653
Publication date: 26 February 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
nonexpansive retractiongeneralized projectioniterative sequenceHalpern and Mann-type iteration algorithmtotally quasi-\(\phi\)-asymptotically nonexpansive nonself multi-valued mapping
Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Boundary Point Method and Mann-Dotson’s Algorithm for Nonself Strict Pseudo-contractive Mappings in Uniformly Smooth Banach Spaces ⋮ Relaxed iterative algorithms for a system of generalized mixed equilibrium problems and a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive multi-valued maps, with applications ⋮ Boundary point method and the Mann-Dotson algorithm for non-self mappings in Banach spaces ⋮ Some iterative algorithms for approximating solutions of nonlinear operator equations in Banach spaces ⋮ The Krasnosel'skiĭ-Mann algorithm for a countable family of non-self Lipschitzian mappings
Cites Work
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- Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings
- Total quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
- Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
- Strong convergence theorems for a countable family of quasi-\(\phi \)-asymptotically nonexpansive nonself mappings
- Approximation theorems for total quasi-\(\phi \)-asymptotically nonexpansive mappings with applications
- Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-\(\phi \)-nonexpansive mappings in Banach spaces
- Modified block iterative algorithm for quasi-\(\phi\)-asymptotically nonexpansive mappings and equilibrium problem in Banach spaces
- Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications
- Weak and strong convergence theorems of three step iteration process with errors for nonself-asymptotically nonexpansive mappings
- Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
- Weak convergence theorems for asymptotically nonexpansive nonself-mappings
- Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
- Strong and weak convergence theorems for common fixed points of nonself asymptotically nonexpansive mappings
- A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications
- Strong and weak convergence theorems for nonself-asymptotically perturbed nonexpansive mappings
- Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
- A new iterative process for common fixed points of finite families of non-self-asymptotically non-expansive mappings
- Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
- Some weak convergence theorems for a family of asymptotically nonexpansive nonself mappings
- Explicit iteration method for common fixed points of a finite family of nonself asymptotically nonexpansive mappings
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
