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The generalized projection operator on reflexive Banach spaces and its applications |
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| Authors: | Jinlu Li |
| Institution: | Department of Mathematical Sciences, Shawnee State University, Portsmouth, OH 45662, USA |
| Abstract: | In this paper, we extend the definition of the generalized projection operator  , where B is a reflexive Banach space with dual space B∗ and K is a nonempty, closed and convex subset of B and we study its properties and applications to solving variational inequality. |
| Keywords: | Generalized projection operator Metric projection operator Variational inequality Leray-Schauder type alternative theorem Fixed point |
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