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