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- Withun Phuengrattana, Suthep Suantai
- J. Computational Applied Mathematics
- 2011

In this paper, we provide existence and convergence theorems of common fixed points for left (or right) reversible semitopological semigroups of total asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results announced by other authors.

and Applied Analysis 3 by 1.5 to a common fixed point of a countable infinite family of nonexpansive mappings in convex metric spaces and CAT 0 spaces under certain suitable conditions. 2. Preliminaries We recall some definitions and useful lemmas used in the main results. Lemma 2.1 see 9, 10 . Let X, d,W be a convex metric space. For each x, y ∈ X and λ,… (More)

- Nawitcha Onjai-uea, Withun Phuengrattana
- Journal of inequalities and applications
- 2017

In this paper, we introduce and study iterative algorithms for solving split mixed equilibrium problems and fixed point problems of λ-hybrid multivalued mappings in real Hilbert spaces and prove that the proposed iterative algorithm converges weakly to a common solution of the considered problems. We also provide an example to illustrate the convergence… (More)

In this paper, we propose a new iteration process to approximate minimizers of proper convex and lower semi-continuous functions and fixed points of λ-hybrid multivalued mappings in Hilbert spaces. We also provide an example to illustrate the convergence behavior of the proposed iteration process and numerically compare the convergence of the proposed… (More)

- Withun Phuengrattana, Suthep Suantai
- Mathematical and Computer Modelling
- 2013

- Kritsada Lerkchaiyaphum, Withun Phuengrattana
- Numerical Algorithms
- 2017

In this paper, we propose a new modified proximal point algorithm for finding a common element of the set of common minimizers of a finite family of convex and lower semi-continuous functions and the set of common fixed points of a finite family of nonexpansive mappings in complete CAT(0) spaces, and prove some convergence theorems of the proposed algorithm… (More)

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