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1. Strong convergent iterative techniques for 2-generalized hybrid mappings and split equilibrium problems

Author

Zhenhai Liu, Jing Zhao, and Yunshui Liang

Subjects
General Mathematics, 010102 general mathematics, 0202 electrical engineering, electronic engineering, information engineering, Applied mathematics, 020201 artificial intelligence & image processing, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Mathematics
Abstract

In this paper, we suggest a new iterative scheme for finding a common element of the set of solutions of a split equilibrium problem and the set of fixed points of 2-generalized hybrid mappings in Hilbert spaces. We show that the iteration converges strongly to a common solution of the considered problems. A numerical example is illustrated to verify the validity of the proposed algorithm. The results obtained in this paper extend and improve some known results in the literature.

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