Strict feasibility of variational inclusion problems in reflexive Banach spaces
| Autor: | Wei Li, Xue-ping Luo, Yi-bin Xiao |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematics::Functional Analysis
0209 industrial biotechnology Pure mathematics TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES 021103 operations research Control and Optimization Applied Mathematics Strategy and Management 0211 other engineering and technologies Banach space Solution set 02 engineering and technology Characterization (mathematics) Atomic and Molecular Physics and Optics TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES 020901 industrial engineering & automation Monotone polygon Reflexivity Business and International Management Electrical and Electronic Engineering Inclusion (education) MathematicsofComputing_DISCRETEMATHEMATICS Mathematics |
| Zdroj: | Journal of Industrial & Management Optimization. 16:2495-2502 |
| ISSN: | 1553-166X |
| DOI: | 10.3934/jimo.2019065 |
| Popis: | In this paper, we are denoted to introducing the strict feasibility of a variational inclusion problem as a novel notion. After proving a new equivalent characterization for the nonemptiness and boundedness of the solution set for the variational inclusion problem under consideration, it is proved that the nonemptiness and boundedness of the solution set for the variational inclusion problem with a maximal monotone mapping is equivalent to its strict feasibility in reflexive Banach spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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