Auxiliary principle and fuzzy variational-like inequalities
<p/> <p>The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy variational-like inequalities in Hilbert spaces. By using the general au...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2005-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2005/201653 |
| _version_ | 1818332610123792384 |
|---|---|
| author | Zeng LC Tan KK O'Regan D Chang SS |
| author_facet | Zeng LC Tan KK O'Regan D Chang SS |
| author_sort | Zeng LC |
| collection | DOAJ |
| description | <p/> <p>The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy variational-like inequalities in Hilbert spaces. By using the general auxiliary principle technique, Ky Fan's KKM theorem, Nadler's fixed point theorem, and some new analytic techniques, some existence theorems and some iterative approximation schemes for solving this kind of fuzzy variational-like inequalities are established. The results presented in this paper are new and they generalize, improve, and unify a number of recent results.</p> |
| first_indexed | 2024-12-13T13:38:28Z |
| format | Article |
| id | doaj.art-631e75d0bf954314b53d36a7e56e383b |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-13T13:38:28Z |
| publishDate | 2005-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-631e75d0bf954314b53d36a7e56e383b2022-12-21T23:43:39ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2005-01-0120055201653Auxiliary principle and fuzzy variational-like inequalitiesZeng LCTan KKO'Regan DChang SS<p/> <p>The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy variational-like inequalities in Hilbert spaces. By using the general auxiliary principle technique, Ky Fan's KKM theorem, Nadler's fixed point theorem, and some new analytic techniques, some existence theorems and some iterative approximation schemes for solving this kind of fuzzy variational-like inequalities are established. The results presented in this paper are new and they generalize, improve, and unify a number of recent results.</p>http://www.journalofinequalitiesandapplications.com/content/2005/201653 |
| spellingShingle | Zeng LC Tan KK O'Regan D Chang SS Auxiliary principle and fuzzy variational-like inequalities Journal of Inequalities and Applications |
| title | Auxiliary principle and fuzzy variational-like inequalities |
| title_full | Auxiliary principle and fuzzy variational-like inequalities |
| title_fullStr | Auxiliary principle and fuzzy variational-like inequalities |
| title_full_unstemmed | Auxiliary principle and fuzzy variational-like inequalities |
| title_short | Auxiliary principle and fuzzy variational-like inequalities |
| title_sort | auxiliary principle and fuzzy variational like inequalities |
| url | http://www.journalofinequalitiesandapplications.com/content/2005/201653 |
| work_keys_str_mv | AT zenglc auxiliaryprincipleandfuzzyvariationallikeinequalities AT tankk auxiliaryprincipleandfuzzyvariationallikeinequalities AT oaposregand auxiliaryprincipleandfuzzyvariationallikeinequalities AT changss auxiliaryprincipleandfuzzyvariationallikeinequalities |