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An Explicit Viscosity Iterative Algorithm for Finding the Solutions of a General Equilibrium Problem Systems
並列摘要
We suggest an explicit viscosity iterative algorithm for finding a common element of the set of solutions for an general equilibrium problem system (GEPS) involving a bifunction defined on a closed, convex subset and the set of fixed points of a nonexpansive semigroup on another one in Hilbert's spaces. Furthermore, we present some numerical examples (by using MATLAB software) to guarantee the main result of this paper.
並列關鍵字
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Shih, T. Y. (2015). 協同過濾推薦時增強商品曝光度 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2015.01580
延伸閱讀
- CHERAGHI, M., AZHINI, M., & SAHEBI, H. R. (2019). A VISCOSITY ITERATIVE ALGORITHM TECHNIQUE FOR SOLVING A GENERAL EQUILIBRIUM PROBLEM SYSTEM. Tamkang Journal of Mathematics, 50(4), 391-408. https://doi.org/10.5556/j.tkjm.50.2019.2831
- Deng, B. C., Chen, T., & Xin, B. (2012). A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert Spaces. Journal of Applied Mathematics, 2012(), 597-614-039. https://doi.org/10.1155/2012/152023
- Olguín, M., & Tarzia, D. A. (2015). Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality. International Journal of Differential Equations, 2015(), 160-166. https://doi.org/10.1155/2015/407930
- Qu, D. N., & Cheng, C. Z. (2013). Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications. Abstract and Applied Analysis, 2013(), 667-674-1261. https://doi.org/10.1155/2013/916089
- Peng, J. W., Wu, S. Y., & Yao, J. C. (2010). A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed-Point Problems, and Variational Inequalities. Abstract and Applied Analysis, (2010), 990-1016. https://doi.org/10.1155/2010/428293