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

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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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Authors and Affiliations

  1. African University of Science and Technology, Abuja, Nigeria

    Monday Ogudu Nnakwe

  2. Department of Mathematics, University of Eswatini, Kwaluseni, Eswatini

    Chibueze Christian Okeke

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  1. Monday Ogudu Nnakwe
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  2. Chibueze Christian Okeke
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Correspondence to Monday Ogudu Nnakwe.

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Nnakwe, M.O., Okeke, C.C. A common solution of generalized equilibrium problems and fixed points of pseudo-contractive-type maps. J. Appl. Math. Comput. 66, 701–716 (2021). https://doi.org/10.1007/s12190-020-01457-x

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