• The Pure and Applied Mathematics
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• v.10 no.4
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• pp.225-232
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• 2003

In this paper, we consider the existence of the solutions to the generalized vector variational-type inequalities for set-valued mappings on Hausdorff topological vector spaces using Fan's geometrical lemma.

• Journal of the Korean Mathematical Society
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• v.26 no.2
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• pp.175-179
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• 1989

• Journal of the Korean Mathematical Society
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• v.24 no.1
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• pp.59-63
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• 1987

• Journal of the Korean Mathematical Society
• /
• v.29 no.1
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• pp.191-208
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• 1992

• Korean Journal of Mathematics
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• v.3 no.1
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• pp.11-16
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• 1995

• The Mathematical Education
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• v.22 no.1
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• pp.57-60
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• 1983

• Journal of the Korean Mathematical Society
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• v.30 no.2
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• pp.413-431
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• 1993

• The Mathematical Education
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• v.22 no.2
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• pp.41-44
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• 1984

• Journal of the Korean Institute of Intelligent Systems
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• v.10 no.2
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• pp.133-137
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• 2000

In this paper we introduce vector variational-type inequalities for fuzzy mappings on Hausdorff topological vector spaces and obtain an existence theorem of solutions to the inequalities.

• Bulletin of the Korean Mathematical Society
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• v.44 no.3
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• pp.537-545
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• 2007

Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature.