On split generalized equilibrium problem with multiple output sets and common fixed points problem
Abstract: In this article, we introduce and study the notion of split generalized equilibrium problem with multiple output sets (SGEPMOS). We propose a new iterative method that employs viscosity approximation technique for approximating the common solution of the SGEPMOS and common fixed point problem for an infinite family of multivalued demicontractive mappings in real Hilbert spaces. Under mild conditions, we prove a strong convergence theorem for the proposed method. Our method uses self-adaptive step size that does not require prior knowledge of the operator norm. The results presented in this article unify, complement, and extend several existing recent results in the literature.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On split generalized equilibrium problem with multiple output sets and common fixed points problem ; volume:56 ; number:1 ; year:2023 ; extent:21
Demonstratio mathematica ; 56, Heft 1 (2023) (gesamt 21)
- Creator
- DOI
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10.1515/dema-2022-0251
- URN
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urn:nbn:de:101:1-2023082414022793379452
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:44 AM CEST
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Associated
- Godwin, Emeka C.
- Mewomo, Oluwatosin
- Alakoya, Timilehin O.
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