Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces (Q955634)
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scientific article; zbMATH DE number 5369414
| Language | Label | Description | Also known as |
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| English | Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces |
scientific article; zbMATH DE number 5369414 |
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Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces (English)
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20 November 2008
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In this paper, a new class of mixed quasi-variational-like inequalities in reflexive Banach space is introduced and investigated. Some existence and uniqueness results for solutions of the mixed quasi-variational-like inequalities are established by applying a minimax inequality due to Ding-Tan and a lemma due to Chang. Two iterative algorithms and the convergence criteria of iterative sequences are studied by using a KKM theorem due to Fan and an auxiliary principle technique due to Cohen. The results extend, improve and unify several known results in the literature.
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mixed quasi-variational-like inequality
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iterative algorithm
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KKM theorem
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auxiliary principle technique
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strongly monotone mapping
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relaxed cocoercive mapping
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cocoercive mapping
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partially relaxed monotone mapping
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