Abstract
The concepts of variational inequality problem and variational-type inequality problem are already known. In this paper, using a result of Ky Fan we present a variational-type inequality problem in a Hausdorff topological vector space.
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M. CHIPOT: Variational Inequalities and Flow in Fours Media: Appl. Math Sc., 52 Springer - Verlag (1984).
K. FAN: A Generalization of Tychonoff’s fixed point theorem: Math. Ann., 142 (1961), 305–310.
G. LSAC: Complementarity Problems: Lecture Notes in Math., 1528, Springer - Verlag (1991).
H.L. ROYDEN: Real Analysis: Macmillan Publishing Company, New York (1988).
E. ZEIDLER: Nonlinear Functional Analysis and its Applications I; Fixed Point Theorems: Springer - Verlag (1985).
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Behera, A., Nayak, L. A Variational-Type Inequality. OPSEARCH 36, 107–112 (1999). https://doi.org/10.1007/BF03398566
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DOI: https://doi.org/10.1007/BF03398566