Strong convergent iterative techniques for 2-generalized hybrid mappings and split equilibrium problems
Filomat, Tome 33 (2019) no. 18, p. 5851

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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
DOI : 10.2298/FIL1918851Z
Classification : 47J22, 34A60
Keywords: Split equilibrium problem, fixed point problem, strong convergence, 2-generalized hybrid mapping, Hilbert space
Jing Zhao; Yunshui Liang; Zhenhai Liu. Strong convergent iterative techniques for 2-generalized hybrid mappings and split equilibrium problems. Filomat, Tome 33 (2019) no. 18, p. 5851 . doi: 10.2298/FIL1918851Z
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     author = {Jing Zhao and Yunshui Liang and Zhenhai Liu},
     title = {Strong convergent iterative techniques for 2-generalized hybrid mappings and split equilibrium problems},
     journal = {Filomat},
     pages = {5851 },
     year = {2019},
     volume = {33},
     number = {18},
     doi = {10.2298/FIL1918851Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918851Z/}
}
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