Strong convergence theorems for a countable family of quasi-ϕ-asymptotically nonexpansive nonself mappings

Chang, Shih-sen; Wang, Lin; Tang, Yong Kun; Wang, Bin; Qin, Lijuan

doi:10.1016/j.amc.2012.02.002

Cited by 9 publications

(1 citation statement)

References 19 publications

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“…Moreover, they proved weak convergence using scheme (7). In 2012, Chang et al [9] considered the class of uniformly quasi-φ-asymptotically nonexpansive nonself mappings and studied in a uniformly convex and uniformly smooth real Banach space. In 2014, Deng et al [10] proved strong convergence theorems of the hybrid algorithm for common fixed point problem of finite family of asymptotically nonexpansive mappings and the set of solution of mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces.…”

Section: Gmep(f Imentioning

confidence: 99%

Generalized mixed equilibrium problems and quasi- ϕ-asymptotically nonexpansive multivalued mappings in Banach spaces

2019

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In this paper, we introduce two iterative algorithms for finding a common element of the set of fixed points of a quasi-φ-asymptotically nonexpansive multivalued mapping and the sets of solutions of generalized mixed equilibrium problem in Banach space. Then, we prove strong and weak convergence of the sequences to element in the mentioned set. Our results generalize and improve recent results announced by many authors.

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Section: Gmep(f Imentioning

confidence: 99%

Generalized mixed equilibrium problems and quasi- ϕ-asymptotically nonexpansive multivalued mappings in Banach spaces

2019

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Some iterative algorithms for approximating solutions of nonlinear operator equations in Banach spaces

Chidume

Nnyaba

Romanus

2019

J. Fixed Point Theory Appl.

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Strong Convergence Theorems for a Countable Family of Total Quasi‐ϕ‐Asymptotically Nonexpansive Nonself Mappings

Zhao

Chang

2012

Journal of Applied Mathematics

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The purpose of this paper is to introduce a class of total quasi-ϕ-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper extend and improve the corresponding results announced by some authors recently.

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Strong convergence theorems for a countable family of quasi-ϕ-asymptotically nonexpansive nonself mappings

Cited by 9 publications

References 19 publications

Generalized mixed equilibrium problems and quasi- ϕ-asymptotically nonexpansive multivalued mappings in Banach spaces

Generalized mixed equilibrium problems and quasi- ϕ-asymptotically nonexpansive multivalued mappings in Banach spaces

Some iterative algorithms for approximating solutions of nonlinear operator equations in Banach spaces

Strong Convergence Theorems for a Countable Family of Total Quasi‐ϕ‐Asymptotically Nonexpansive Nonself Mappings

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