Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces

被引：0

作者：

Habtu Zegeye

Naseer Shahzad

机构：

[1] University of Botswana,Department of Mathematics

[2] King Abdul Aziz University,Department of Mathematics

来源：

Optimization Letters | 2011年 / 5卷

关键词：

Generalized projection; -Inverse strongly monotone mappings; Monotone mappings; Strong convergence; Variational inequality problems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we introduce an iterative process which converges strongly to a common solution of variational inequality problems for two monotone mappings in Banach spaces. Furthermore, our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings.

引用

页码：691 / 704

页数：13

共 50 条

[1] Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces
Zegeye, Habtu
Shahzad, Naseer
[J]. OPTIMIZATION LETTERS, 2011, 5 (04) : 691 - 704
[2] Construction of a common solution of a finite family of variational inequality problems for monotone mappings
Alghamdi, Mohammed Ali
Shahzad, Naseer
Zegeye, Habtu
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1645 - 1657
[3] APPROXIMATING SOLUTIONS OF MONOTONE VARIATIONAL INCLUSION, EQUILIBRIUM AND FIXED POINT PROBLEMS OF CERTAIN NONLINEAR MAPPINGS IN BANACH SPACES
Abass, Hammed Anuoluwapo
Izuchukwu, Chinedu
Mewomo, Oluwatosin Temitope
[J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2023, 47 (05): : 777 - 799
[4] Split equality variational inequality problems for pseudomonotone mappings in Banach spaces
Boikanyo, Oganeditse A.
Zegeye, Habtu
[J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (01): : 139 - 158
[5] A common solution of f-fixed point and variational inequality problems in Banach spaces
Zegeye, Habtu
Boikanyo, Oganeditse A.
[J]. OPTIMIZATION, 2023, 72 (03) : 737 - 762
[6] Approximating common fixed points of two nonexpansive mappings in Banach spaces
Atsushiba, S
Takahashi, W
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 57 (01) : 117 - 127
[7] APPROXIMATING COMMON SOLUTION OF A SYSTEM OF EQUILIBRIUM PROBLEMS IN BANACH SPACES
Naraghirad, Eskandar
Takahashi, Wataru
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (05) : 943 - 964
[8] An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces
Zegeye, H.
Shahzad, N.
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[9] An algorithm for approximating a common solution of variational inequality and convex minimization problems
Nnakwe, Monday Ogudu
[J]. OPTIMIZATION, 2021, 70 (10) : 2227 - 2246
[10] ONLINEAR VARIATIONAL INEQUALITIES AND MAXIMAL MONOTONE MAPPINGS IN BANACH SPACES
BROWDER, FE
[J]. MATHEMATISCHE ANNALEN, 1969, 183 (03) : 213 - &

← 1 2 3 4 5 →