A Hybrid Inertial S - iteration Algorithm for Quasi -φ- Asymptotically Nonexpansive mappings, Maximal Monotone Operators and Generalized Mixed Equilibrium Problems

In this paper, we propose a hybrid inertial S-iteration algorithm for two quasi -φ- asymptotically nonexpansive mappings, maximal monotone operator and generalized mixed equilibrium problems in a real Banach space. We also, established a strong convergence theorem of the propose iterative scheme. The results present in this paper extend and improve some recent results in the literature.

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Publication Details

Journal
Uzbek Mathematical Journal
Published
2025-05-18
DOI
https://doi.org/10.29229/uzmj.2025-1-9
Primary Topic
Optimization and Variational Analysis
Type
article
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article

A Hybrid Inertial S - iteration Algorithm for Quasi -φ- Asymptotically Nonexpansive mappings, Maximal Monotone Operators and Generalized Mixed Equilibrium Problems

M. H. Harbau, Lawal Umar, Yusuf Ibrahim, A. M. Idris
1 links
Uzbek Mathematical Journal
Optimization and Variational Analysis
article

A Hybrid Inertial S - iteration Algorithm for Quasi -φ- Asymptotically Nonexpansive mappings, Maximal Monotone Operators and Generalized Mixed Equilibrium Problems

M. H. Harbau, Lawal Umar, Yusuf Ibrahim, A. M. Idris
article en

Abstract

In this paper, we propose a hybrid inertial S-iteration algorithm for two quasi -φ- asymptotically nonexpansive mappings, maximal monotone operator and generalized mixed equilibrium problems in a real Banach space. We also, established a strong convergence theorem of the propose iterative scheme. The results present in this paper extend and improve some recent results in the literature.

Uzbek Mathematical JournalVol. 69(1)
Openalex Percentile: Top 88%
Optimization and Variational Analysis
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