General Split Equality Equilibrium Problems with Application to Split Optimization Problems

Shih-sen Chang (), Lin Wang, Xiong Rui Wang () and Gang Wang
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Shih-sen Chang: Yunnan University of Finance and Economics
Lin Wang: Yunnan University of Finance and Economics
Xiong Rui Wang: Yibin University
Gang Wang: Yunnan University of Finance and Economics

Journal of Optimization Theory and Applications, 2015, vol. 166, issue 2, No 2, 377-390

Abstract: Abstract The purpose of this paper is to introduce and study the general split equality equilibrium problem and the general split equilibrium problem in Hilbert spaces. In order to solve these problems, a new simultaneous iterative algorithm is proposed and several strong convergence theorems for the sequences generated by the algorithm are proved. As applications, we utilize our results to study the general split equality optimization problem and the general split optimization problem. The results presented in the paper extend and improve some recent results.

Keywords: General split equality equilibrium problems; General split equilibrium problems; General split equality optimization problem; General split optimization problem; Split feasibility problem; 47J25; 47N10; 65J15; 90C25 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-015-0739-3

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