Author:
Arunchai Areerat,Plubtieng Somyot,Wen Ching-Feng
Abstract
Abstract
In this paper, we prove the existence of solutions for a variational-like inequality and a generalized variational-like inequality in the relaxed η-α pseudomonotone and strictly η-quasimonotone cases in Banach spaces by using the KKM technique. The results presented in this paper improve and extend some corresponding results of several authors.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference30 articles.
1. Giannessi F: Theorems of alternative, quadratic programs and complementarity problems. In Variational Inequalities and Complementarity Problems. Edited by: Cottle RW, Giannessi F, Lions JL. Wiley, New York; 1980:151–186.
2. Hartmann P, Stampacchia G: On some nonlinear elliptic differential functional equations. Acta Math. 1966, 115: 153–188.
3. Kinderlehrer D, Stampacchia G: An Introduction to Variational Inequalities and Their Applications. Academic Press, New York; 1980.
4. Aussel D, Hadjisavvas N: On quasimonotone variational inequalities. J. Optim. Theory Appl. 2004, 121: 445–450.
5. Bianchi M, Hadjisavvas N, Shaible S: Minimal coercivity conditions and exceptional families of elements in quasimonotone variational inequalities. J. Optim. Theory Appl. 2004, 122: 1–17.
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