Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets
Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1105-1119
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We present new quasi-nonexpansive mappings involving pseudomonotone bifunctions defined on convex sets in real Hilbert space. We investigate some properties concerning their fixed point sets. Some applications to equilibrium problems are discussed.
Classification : 47J25, 47N10, 90C25
Mots-clés : Convexity, pseudomonotonicity, quasi-nonexpansive mapping, fixed point, equilibria
@article{JCA_2018_25_4_JCA_2018_25_4_a2,
     author = {T. V. Anh and L. D. Muu},
     title = {Quasi-Nonexpansive {Mappings} {Involving} {Pseudomonotone} {Bifunctions} on {Convex} {Sets}},
     journal = {Journal of convex analysis},
     pages = {1105--1119},
     year = {2018},
     volume = {25},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a2/}
}
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T. V. Anh; L. D. Muu. Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets. Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1105-1119. http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a2/