Mixed Equilibrium Problems with Weakly Relaxed α-Monotone Bifunction in Banach Spaces

被引：2

作者：

Sintunavarat, Wutiphol ^{[1
]}

机构：

[1] Thammasat Univ, Rangsit Ctr, Fac Sci & Technol, Dept Math & Stat, Pathum Thani 12121, Thailand

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年

关键词：

VARIATIONAL-LIKE INEQUALITIES; MAPPINGS;

D O I：

10.1155/2013/374268

中图分类号：

学科分类号：

摘要：

We introduce the class of mixed equilibrium problems with the weakly relaxed alpha-monotone bi-function in Banach spaces. Using the KKM technique, we obtain the existence of solutions for mixed equilibrium problem with weakly relaxed alpha-monotone bi-function in Banach spaces. The results presented in this paper extend and improve the corresponding results in the existing literature.

引用

页数：5

共 50 条

[1] Mixed equilibrium problems with relaxed alpha-monotone mapping in Banach spaces
Mahato, N. K.
Nahak, C.
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2013, 62 (02) : 207 - 213
[2] Generalized mixed equilibrium problems with generalized α -η -monotone bifunction in topological vector spaces
Farajzadeh, A. P.
Plubtieng, S.
Ungchittrakool, K.
Kumtaeng, D.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 313 - 319
[3] Weakly relaxed α-pseudomonotonicity and equilibrium problem in Banach spaces
N. K. Mahato
C. Nahak
[J]. Journal of Applied Mathematics and Computing, 2012, 40 (1-2) : 499 - 509
[4] Nonlinear Mixed Variational-Like Inequality with Respect to Weakly Relaxed η - α Monotone Mapping in Banach Spaces
Pany, Gayatri
Pani, Sabyasachi
[J]. MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 185 - 196
[5] Equilibrium problems with generalized relaxed monotonicities in Banach spaces
Mahato N.K.
Nahak C.
[J]. OPSEARCH, 2014, 51 (2) : 257 - 269
[6] New Generalized Mixed Equilibrium Problem with Respect to Relaxed Semi-Monotone Mappings in Banach Spaces
Wangkeeree, Rabian
Preechasilp, Pakkapon
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[7] Descent methods for monotone equilibrium problems in Banach spaces
Konnov, IV
Ali, MSS
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 188 (02) : 165 - 179
[8] Weakly relaxed alpha-pseudomonotonicity and equilibrium problem in Banach spaces
Mahato, N. K.
Nahak, C.
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 40 (1-2) : 499 - 509
[9] ON GENERALIZED MIXED EQUILIBRIUM PROBLEM WITH α - β - η BIFUNCTION AND μ - τ MONOTONE MAPPING
Taiwo, Adeolu
Jolaoso, Lateef O.
Mewomo, O. T.
Gibali, A.
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (06) : 1381 - 1401
[10] ON APPROXIMATION OF COMMON SOLUTION OF FINITE FAMILY OF MIXED EQUILIBRIUM PROBLEMS INVOLVING μ - α RELAXED MONOTONE MAPPING IN A BANACH SPACE
Oyewole, O. K.
Jolaoso, L. O.
Izuchukwu, C.
Mewomo, O. T.
[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (01): : 19 - 34

← 1 2 3 4 5 →