A hybrid scheme for fixed points of a countable family of generalized non-expansive-type maps and generalized mixed equilibrium problems
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914619915763712 |
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| author | Nwokoro, Peter U. Onyido, Maria A. Uba, Markjoe O. Udeani, Cyril I. |
| author_facet | Nwokoro, Peter U. Onyido, Maria A. Uba, Markjoe O. Udeani, Cyril I. |
| contents | Let $Ω$ be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space $\mathcal{X}$ with dual space $\mathcal{X}^*$. This article presents a hybrid algorithm for finding a common element of the set of solutions to a generalized mixed equilibrium problem and the set of common fixed points of a family of a general class of nonlinear nonexpansive maps. The results obtained were employed to study optimization problem. Our results and its applications complement, generalize, and extend several results in literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23076 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A hybrid scheme for fixed points of a countable family of generalized non-expansive-type maps and generalized mixed equilibrium problems Nwokoro, Peter U. Onyido, Maria A. Uba, Markjoe O. Udeani, Cyril I. Functional Analysis 47H09, 47H05, 47J25, 47J05 Let $Ω$ be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space $\mathcal{X}$ with dual space $\mathcal{X}^*$. This article presents a hybrid algorithm for finding a common element of the set of solutions to a generalized mixed equilibrium problem and the set of common fixed points of a family of a general class of nonlinear nonexpansive maps. The results obtained were employed to study optimization problem. Our results and its applications complement, generalize, and extend several results in literature. |
| title | A hybrid scheme for fixed points of a countable family of generalized non-expansive-type maps and generalized mixed equilibrium problems |
| topic | Functional Analysis 47H09, 47H05, 47J25, 47J05 |
| url | https://arxiv.org/abs/2509.23076 |