A new class of general nonlinear random set-valued variational inclusion problems involving \(A\)-maximal \(m\)-relaxed \(\eta\)-accretive mappings and random fuzzy mappings in Banach spaces (Q367106)
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scientific article; zbMATH DE number 6211682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new class of general nonlinear random set-valued variational inclusion problems involving \(A\)-maximal \(m\)-relaxed \(\eta\)-accretive mappings and random fuzzy mappings in Banach spaces |
scientific article; zbMATH DE number 6211682 |
Statements
A new class of general nonlinear random set-valued variational inclusion problems involving \(A\)-maximal \(m\)-relaxed \(\eta\)-accretive mappings and random fuzzy mappings in Banach spaces (English)
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26 September 2013
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The authors study a rather complicated problem involving random inclusions and systems of inequalities with random fuzzy mappings. They construct an iteration algorithm for solving this problem and prove its convergence. They claim that their theorem improves and generalizes many known results on random variational inequalities and random complementarity problems.
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variational inclusions
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\(A\)-maximal \(m\)-relaxed \(\eta\)-accretive mapping
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random relaxed cocoercive mapping
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resolvent operator technique
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random iterative algorithm
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random fuzzy mapping
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\(q\)-uniformly smooth Banach space
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