Strong and weak convergence theorems for general mixed equilibrium problems and general variational inequality problems and fixed point problems for two nonexpansive semigroups in Hilbert spaces | Izvestiya vuzov. Fizika. 2021. № 5. DOI: 10.17223/00213411/64/5/152

Strong and weak convergence theorems for general mixed equilibrium problems and general variational inequality problems and fixed point problems for two nonexpansive semigroups in Hilbert spaces

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 the set of solutions of 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 announced by many others.

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Keywords

iterative methods, general mixed equilibrium problem, general variational inequality, fixed point, nonexpansive semigroup, Hilbert space

Authors

Name	Organization	E-mail
Baoshuai Zhang	School of Economics and Management, Chongqing Normal University	baoshuai8128@163.com
Ying Tian	School of Economics and Management, Chongqing Normal University	tycq666@126.com

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