Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets
Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1105-1119
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
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/}
}
TY - JOUR AU - T. V. Anh AU - L. D. Muu TI - Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets JO - Journal of convex analysis PY - 2018 SP - 1105 EP - 1119 VL - 25 IS - 4 UR - http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a2/ ID - JCA_2018_25_4_JCA_2018_25_4_a2 ER -
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/