Armenian Journal of Mathematics, 12(9)
2022; 1–19
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An iterative algorithm based on the generalized viscosity explicit methods for an infinite family of accretive operators

Thierno Sow*

Received: 2024-12-10 · Published: 2022-09-02

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CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
An iterative algorithm based on the generalized viscosity explicit methods for an infinite family of accretive operators
Author
Thierno Sow
Source journal
Armenian Journal of Mathematics, 12(9)
Published
2022-09-02
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2020.12.9-1-19

Abstract

In this paper, we introduce and study a new iterative method based on the generalized viscosity explicit methods (GVEM) for solving the inclusion problem with an infinite family of multivalued accretive operators in real Banach spaces. Applications to equilibrium and to convex minimization problems involving an infinite family of semi-continuous and convex functions are included. Our results improve important recent results.
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