Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications |
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Authors: | Shenghua Wang Giuseppe Marino Yeong-Cheng Liou |
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Institution: | 1. Department of Mathematics and Physics, North China Electric Power University, Baoding, 071003, China 2. Dipartimento di Matematica, Universit?? della Calabria, 87036, Arcavacata di Rende (CS), Italy 3. Department of Information Management, Cheng Shiu University, Kaohsiung, 833, Taiwan
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Abstract: | In this paper, we introduce a new iterative scheme for finding a common element of the set of common solutions of a finite family of equilibrium problems with relaxed monotone mappings, of the set of common solutions of a finite family of variational inequalities and of the set of common fixed points of an infinite family of nonexpansive mappings in a Hilbert space. Strong convergence for the proposed iterative scheme is proved. As an application, we solve a multi-objective optimization problem using the result of this paper. Our results improve and extend the corresponding ones announced by others. |
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