Generalized Krasnoselskii–, Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces

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MORADI SIROUS; Mohitazar Najmeh

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Journal Paper

Paper Information

Journal: Advances in Mathematical Finance and Applications Year:2023 | Volume:8 | Issue:2 Page(s): 351-365

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Title

Generalized Krasnoselskii–, Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces

Author(s)

MORADI SIROUS | Mohitazar Najmeh | Issue Writer Certificate

Keywords

Fixed point

Hilbert space

Mann iterative

Nonexpansive mapping

Maximal monotone operators

Abstract

In this paper, we propose a novel Mann iterative algorithm for discovering a shared Fixed point of two Nonexpansive mappings in real Hilbert spaces. We establish the weak convergence of this fixed-point approach under new conditions, and additionally demonstrate its strong convergence with the inclusion of an additional requirement. Our findings expand upon previous results presented by Kanzow and Shehu, as well as by Cho et al. Furthermore, we showcase the versatility of our main results through the presentation of various applications in the last section, accompanied by illustrative examples.

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APA: Copy

MORADI, SIROUS, & Mohitazar, Najmeh. (2023). Generalized Krasnoselskii–, Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces. ADVANCES IN MATHEMATICAL FINANCE AND APPLICATIONS, 8(2), 351-365. SID. https://sid.ir/paper/1059610/en

Vancouver: Copy

MORADI SIROUS, Mohitazar Najmeh. Generalized Krasnoselskii–, Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces. ADVANCES IN MATHEMATICAL FINANCE AND APPLICATIONS[Internet]. 2023;8(2):351-365. Available from: https://sid.ir/paper/1059610/en

IEEE: Copy

SIROUS MORADI, and Najmeh Mohitazar, “Generalized Krasnoselskii–, Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces,” ADVANCES IN MATHEMATICAL FINANCE AND APPLICATIONS, vol. 8, no. 2, pp. 351–365, 2023, [Online]. Available: https://sid.ir/paper/1059610/en

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