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Journal of Applied Mathematics and Computing

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06.11.2020 | Original Research

A common solution of generalized equilibrium problems and fixed points of pseudo-contractive-type maps

verfasst von: Monday Ogudu Nnakwe, Chibueze Christian Okeke

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

In this paper, a new iterative algorithm of a Halpern-type is constructed. The sequence generated by the algorithm is proved to converge strongly to a common solution of two generalized equilibrium problems and a common J-fixed point of two continuous J-pseudo-contractive maps in a uniformly smooth and uniformly convex real Banach space. Furthermore, a numerical example is given to illustrate the implementability of our algorithm. Finally, the theorem complements, improves and unifies some related recent results in the literature.

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Titel: A common solution of generalized equilibrium problems and fixed points of pseudo-contractive-type maps
verfasst von: Monday Ogudu Nnakwe
Chibueze Christian Okeke
Publikationsdatum: 06.11.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01457-x

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