Solving split generalized mixed equality equilibrium problems and split equality fixed point problems for nonexpansive-type maps
Let X be a 2-uniformly convex and uniformly smooth real Banach space. In this paper, an iterative algorithm of Krasnosel’skii-type is constructed and used to approximate a common solution of split generalized mixed equality equilibrium problems (SGMEEP) and split equality fixed point problems (SEFPP...
| Veröffentlicht in: | Carpathian Journal of Mathematics. - Sinus Association. - 36(2020), 1, Seite 119-126 |
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| 1. Verfasser: | |
| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2020
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| Zugriff auf das übergeordnete Werk: | Carpathian Journal of Mathematics |
| Schlagworte: | Mathematics |
| Zusammenfassung: | Let X be a 2-uniformly convex and uniformly smooth real Banach space. In this paper, an iterative algorithm of Krasnosel’skii-type is constructed and used to approximate a common solution of split generalized mixed equality equilibrium problems (SGMEEP) and split equality fixed point problems (SEFPP) for quasi-ψ-nonexpansive maps. A strong convergence theorem of the sequence generated by this algorithm is proved without imposing any compactness-type condition on either the operators or the space considered. The theorem proved improves and complements important recent results in the literature. |
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| ISSN: | 18434401 |