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General Split Equality Equilibrium Problems with Application to Split Optimization Problems

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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.

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Acknowledgments

The authors would like to express their thanks to the Editor and the Referees for their helpfully comments and advices. The work was supported by the National Natural Sciences Foundation of China (Grant 11361070).

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Authors and Affiliations

  1. College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, Yunnan, People’s Republic of China

    Shih-sen Chang, Lin Wang & Gang Wang

  2. College of Mathematics, Yibin University, Yibin, 644007, Sichuan, People’s Republic of China

    Xiong Rui Wang

Authors
  1. Shih-sen Chang
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  2. Lin Wang
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  3. Xiong Rui Wang
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  4. Gang Wang
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Correspondence to Shih-sen Chang.

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Chang, Ss., Wang, L., Wang, X.R. et al. General Split Equality Equilibrium Problems with Application to Split Optimization Problems. J Optim Theory Appl 166, 377–390 (2015). https://doi.org/10.1007/s10957-015-0739-3

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  • DOI: https://doi.org/10.1007/s10957-015-0739-3

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