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논문검색

Hybrid Iterative Algorithm of Asymptotically Non-expansive Mappings for Equilibrium Problems

초록

영어

Optimization problems, variational inequalities, minimax problems can be formulated as equilibrium problems. The iterative algorithms of fixed points are often applied to finding the solution of equilibrium problems. In this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of asymptotically nonexpansive mappings and the set of solutions of an equilibrium problem in Hilbert spaces. Besides, an example of variational inequality problem is given to illustrate the efficiency and performance of the newly algorithm.

목차

Abstract
 1. Introduction
 2. Preliminaries
 3. Hybrid iterative algorithm for asymptotically nonexpansive mappings and equilibrium problems
 4. Numerical Examples
 5. Conclusions
 Acknowledgements
 References

저자정보

  • Shanshan Yang Mathematics and Applied Mathematics, Harbin University of Commerce, Harbin, 150028, China
  • Jingxin Zhang Mathematics and Applied Mathematics, Harbin University of Commerce, Harbin, 150028, China

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