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Strong and Weak Convergence Theorems for General Mixed Equilibrium, General Variational Inequality, and Fixed Point Problems for Two Nonexpansive Semigroups in Hilbert Spaces

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In this paper, we introduce some iterative algorithms for finding a common element of the set of solutions of the general mixed equilibrium problem and a general variational inequality for two cocoercive mappings and the set of common fixed points of two nonexpansive semigroups in Hilbert space. We obtain both strong and weak convergence theorems for the sequences generated by these iterative processes in Hilbert spaces. Our results improve and extend the results obtained elsewhere.

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Authors and Affiliations

  1. School of Economics and Management, Chongqing Normal University, Chongqing, China

    Baoshuai Zhang & Ying Tian

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  1. Baoshuai Zhang
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  2. Ying Tian
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Correspondence to Baoshuai Zhang.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 152–160, May, 2021.

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Zhang, B., Tian, Y. Strong and Weak Convergence Theorems for General Mixed Equilibrium, General Variational Inequality, and Fixed Point Problems for Two Nonexpansive Semigroups in Hilbert Spaces. Russ Phys J 64, 937–948 (2021). https://doi.org/10.1007/s11182-021-02412-4

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  • DOI: https://doi.org/10.1007/s11182-021-02412-4

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