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On the Solution Existence of Variational-Like Inequalities Problems for Weakly Relaxed η-α Monotone Mapping.
- Source :
-
Abstract & Applied Analysis . 2013, p1-8. 8p. - Publication Year :
- 2013
-
Abstract
- We introduce two new concepts of weakly relaxed η-α monotone mappings and weakly relaxed η-α semimonotone mappings. Using the KKM technique, the existence of solutions for variational-like problems with weakly relaxed η-α monotone mapping in reflexive Banach spaces is established. Also, we obtain the existence of solution for variational-like problems with weakly relaxed η-α semimonotone mappings in arbitrary Banach spaces by using the Kakutani-Fan-Glicksberg fixed-point theorem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 95426948
- Full Text :
- https://doi.org/10.1155/2013/207845