On variational-like inequalities with generalized monotone mappings. (English) Zbl 1278.47062
Konnov, Igor V. (ed.) et al., Generalized convexity and related topics. Proceedings of the 8th international symposium on generalized convexity and monotonicity, Varese, Italy, July 4–8, 2005. Berlin: Springer (ISBN 3-540-37006-4/pbk). Lecture Notes in Economics and Mathematical Systems 583, 415-431 (2007).
Summary: We consider two new classes of generalized relaxed \(\alpha\)-monotone and semimonotone functions and, using the KKM technique, we prove the existence of solutions for variational-like inequalities relative to these types of mappings in Banach spaces. Several examples and special cases are also considered.
For the entire collection see [Zbl 1098.49003].
For the entire collection see [Zbl 1098.49003].
MSC:
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
| 47H05 | Monotone operators and generalizations |
