On the Approximation of Zeros of Non-Self Monotone Operators

Colao, Vittorio; Marino, Giuseppe; Muglia, Luigi

doi:10.1080/01630563.2016.1177727

Cited by 3 publications

(2 citation statements)

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“…Theorem 12 Let K be a nonempty, closed and convex subset of a complete CAT(0) space X and S, T : K → X be two L-Lipschitz quasi-nonexpansive inward mappings. Let {x n } be a sequence as defined in (6) Hence, {x n } converges strongly to x * ∈ F .…”

Section: Corollary 11mentioning

confidence: 99%

“…This method of Colao and Marino [5] have been used by many authors to construct and study iterative processes for approximating fixed points of non-self mappings (see, e.g., [6,7,12,29,[32][33][34]). In particular, Tufa and Zegeye [33] introduced an iterative scheme for approximating fixed points of nonexpansive non-self mappings in the setting of CAT(0) spaces (see Corollary 3.5 of [33]).…”

Section: Introductionmentioning

confidence: 99%

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A new iterative method for approximating common fixed points of two non-self mappings in a CAT(0) space

Tufa

2023

Rend. Circ. Mat. Palermo, II. Ser

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In this paper, we introduce a new iterative process for approximating common fixed points of two non-self mappings in the setting of CAT(0) spaces. Then we establish $$\Delta $$ Δ -convergence and strong convergence results for two nonexpansive non-self mappings under appropriate conditions. Moreover, we establish strong convergence theorems for approximating common fixed points of two Lipschitz quasi-nonexpansive non-self mappings under some additional conditions. Our results improve, complement and unify most of the results in the literature.

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Section: Corollary 11mentioning

confidence: 99%