Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex MinimizationReport as inadecuate




Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex Minimization - Download this document for free, or read online. Document in PDF available to download.

Abstract and Applied Analysis - Volume 2014 2014, Article ID 587865, 26 pages -

Research Article

Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan

Received 14 October 2013; Accepted 18 November 2013; Published 8 January 2014

Academic Editor: Chi-Ming Chen

Copyright © 2014 A. E. Al-Mazrooei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose implicit and explicit iterative algorithms for finding a common element of the set of solutions of the minimization problem for a convex and continuously Fréchet differentiable functional, the set of solutions of a finite family of generalized mixed equilibrium problems, and the set of solutions of a finite family of variational inequalities for inverse strong monotone mappings in a real Hilbert space. We prove that the sequences generated by the proposed algorithms converge strongly to a common element of three sets, which is the unique solution of a variational inequality defined over the intersection of three sets under very mild conditions.





Author: A. E. Al-Mazrooei, A. Latif, and J. C. Yao

Source: https://www.hindawi.com/



DOWNLOAD PDF




Related documents