A CLASS OF MIXED VARIATIONAL-LIKE INEQUALITIES AND EQUILIBRIUM PROBLEMS IN BANACH SPACES

被引：0

作者：

Pany, Gayatri ^{[1
]}

Mohapatra, R. N. ^{[2
]}

Pani, Sabyasachi ^{[1
]}

机构：

[1] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Bhubaneswar 751007, Orissa, India

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS | 2016年 / 7卷 / 04期

关键词：

generalized weakly relaxed eta-alpha monotonicity; KKM technique; auxiliary principle technique; iterative algorithm; equilibrium problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use generalized weakly relaxed eta-alpha monotonicity to analyze mixed variational-like inequalities, involving a nonlinear bifunction, in a Banach space. Existence of the solution to the problem is established using KKM theorem. An iterative algorithm is obtained using auxiliary principle technique. Also strong convergence of the iterates to the exact solution is established. We have applied our results to corresponding equilibrium problems.

引用

页码：241 / 252

页数：12

共 50 条

[1] Variational-Like Inequalities and Equilibrium Problems with Generalized Monotonicity in Banach Spaces
Mahato, N. K.
Nahak, C.
ADVANCES IN OPERATIONS RESEARCH, 2012, 2012
[2] On a System of Generalized Mixed Equilibrium Problems Involving Variational-Like Inequalities in Banach Spaces: Existence and Algorithmic Aspects
Mahdioui, H.
Chadli, O.
ADVANCES IN OPERATIONS RESEARCH, 2012, 2012
[3] Existence of Solutions and an Algorithm for Mixed Variational-Like Inequalities in Banach Spaces
X. P. Ding
Journal of Optimization Theory and Applications, 2005, 127 : 285 - 302
[4] Existence of solutions and an algorithm for mixed variational-like inequalities in Banach spaces
Ding, XP
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 127 (02) : 285 - 302
[5] Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces
丁协平
Applied Mathematics and Mechanics(English Edition), 2011, 32 (11) : 1457 - 1474
[6] Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces
Ding, Xie-ping
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2011, 32 (11) : 1457 - 1474
[7] Bilevel generalized mixed equilibrium problems involving generalized mixed variational-like inequality problems in reflexive Banach spaces
Xie-ping Ding
Applied Mathematics and Mechanics, 2011, 32 : 1457 - 1474
[8] Existence and algorithm of solutions for nonlinear mixed variational-like inequalities in Banach spaces
Ding, XP
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 157 (02) : 419 - 434
[9] Variational-like inequalities with relaxed η-α pseudomonotone mappings in Banach spaces
Bai, Min-Ru
Zhou, Shu-Zi
Ni, Gu-Yan
APPLIED MATHEMATICS LETTERS, 2006, 19 (06) : 547 - 554
[10] Generalized nonlinear variational-like inequalities in reflexive Banach spaces
Liu, Z
Ume, JS
Kang, SM
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 126 (01) : 157 - 174

← 1 2 3 4 5 →