Existence of solutions of new generalized mixed vector variational-like inequalities in reflexive Banach spaces (Q467455)
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scientific article; zbMATH DE number 6363593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions of new generalized mixed vector variational-like inequalities in reflexive Banach spaces |
scientific article; zbMATH DE number 6363593 |
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Existence of solutions of new generalized mixed vector variational-like inequalities in reflexive Banach spaces (English)
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3 November 2014
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The purpose of this paper is to prove the solvability for a class of new generalized mixed vector variational-like inequalities with the concept of a semimonotone multivalued mapping. By using the concept of semicontinuity instead of the concept of monotonicity, the same results are obtained. An interesting question for the problem presented in this paper is whether one can construct an algorithm to approximate a solution of this problem.
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generalized mixed vector variational-like inequalities
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semimonotonicity
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complete semicontinuous
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Fan-KKM theorem
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Brouwer fixed point theorem
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0.9703531
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0.9672166
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0.96055275
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0.9470873
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0.94675195
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