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Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces

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Abstract

Our study in this paper is focused on mixed equilibrium problems as well as combination with and fixed point problems in real Hilbert spaces. We introduce a new extension of a skew-symmetric bi-functions, called generalized skew-symmetric bi-functions. Two iterative methods based on the subgradient extragradient method is presented and their weak convergence theorems are proved under some mild assumptions. Further, we discuss some numerical examples to demonstrate the applicability of the iterative algorithm. The methods and analysis is new and extend several related result in the literature.

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Acknowledgements

The authors sincerely thank the reviewers for their valuable suggestions and useful comments that have led to the present improved version of the original manuscript.

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  1. Department of Mathematics, Deanship of Educational Services, Qassim University, Buraidah, 51452, Al-Qassim, Saudi Arabia

    Mohammad Farid

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  1. Mohammad Farid
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Correspondence to Mohammad Farid.

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The original online version of this article was revised as the copyright line was incorrectly given as ‘The Author(s), under exclusive licence to The Author(s) under exclusive license to Universitá degli Studi di Ferrara’ but should have been ’The Author(s) under exclusive license to Università degli Studi di Ferrara’.

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Farid, M. Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces. Ann Univ Ferrara 67, 253–268 (2021). https://doi.org/10.1007/s11565-021-00380-8

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  • DOI: https://doi.org/10.1007/s11565-021-00380-8

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