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General Split Equality Equilibrium Problems with Application to Split Optimization Problems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Shih-sen Chang & Lin Wang & Xiong Rui Wang & Gang Wang, 2015. "General Split Equality Equilibrium Problems with Application to Split Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 377-390, August.
    • Handle: RePEc:spr:joptap:v:166:y:2015:i:2:d:10.1007_s10957-015-0739-3
    DOI: 10.1007/s10957-015-0739-3
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    References listed on IDEAS

    as
    1. A. Moudafi, 2011. "Split Monotone Variational Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 275-283, August.
    2. Abdellatif Moudafi, 2013. "Alternating CQ-Algorithms For Convex Feasibility And Split Fixed-Point Problems," Documents de Travail 2013-02, CEREGMIA, Université des Antilles et de la Guyane.
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