Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces
Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function; g: E→ℝ is a strictly convex and Gâteaux diff...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/594285 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554547502907392 |
|---|---|
| author | Chin-Tzong Pang Eskandar Naraghirad Ching-Feng Wen |
| author_facet | Chin-Tzong Pang Eskandar Naraghirad Ching-Feng Wen |
| author_sort | Chin-Tzong Pang |
| collection | DOAJ |
| description | Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach
space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function; g: E→ℝ is a strictly convex and Gâteaux differentiable function; and C is a nonempty, closed, and convex subset of E. The existence of a solution for a class of variational inequalities in Banach spaces is presented. |
| format | Article |
| id | doaj-art-1a14c00d56cf4f6a8005d0489c8581eb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1a14c00d56cf4f6a8005d0489c8581eb2025-02-03T05:51:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/594285594285Bregman f-Projection Operator with Applications to Variational Inequalities in Banach SpacesChin-Tzong Pang0Eskandar Naraghirad1Ching-Feng Wen2Department of Information Management, Yuan Ze University, Chung-Li 32003, TaiwanDepartment of Mathematics, Yasouj University, Yasouj 75918, IranCenter for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, TaiwanUsing Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function; g: E→ℝ is a strictly convex and Gâteaux differentiable function; and C is a nonempty, closed, and convex subset of E. The existence of a solution for a class of variational inequalities in Banach spaces is presented.http://dx.doi.org/10.1155/2014/594285 |
| spellingShingle | Chin-Tzong Pang Eskandar Naraghirad Ching-Feng Wen Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces Abstract and Applied Analysis |
| title | Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces |
| title_full | Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces |
| title_fullStr | Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces |
| title_full_unstemmed | Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces |
| title_short | Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces |
| title_sort | bregman f projection operator with applications to variational inequalities in banach spaces |
| url | http://dx.doi.org/10.1155/2014/594285 |
| work_keys_str_mv | AT chintzongpang bregmanfprojectionoperatorwithapplicationstovariationalinequalitiesinbanachspaces AT eskandarnaraghirad bregmanfprojectionoperatorwithapplicationstovariationalinequalitiesinbanachspaces AT chingfengwen bregmanfprojectionoperatorwithapplicationstovariationalinequalitiesinbanachspaces |