Translation Mappings of Quasimonotonicity Beyond Smoothness
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913694047272960 |
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| author | Hazaimah, Oday |
| author_facet | Hazaimah, Oday |
| contents | Monotonicity of a mapping implies its pseudomonotonicity and hence quasimonotonocity, the converse is not true. In this note we intend to study the situations under which quasimono tonicity of a mapping implies its monotonicity. Thus we generalize some results in the literature related to the connection between monotonocity and its generalized classes for multi-valued mappings via translation maps in real topological spaces. No differentiability assumption is required but continuity assumption is imposed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_12071 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Translation Mappings of Quasimonotonicity Beyond Smoothness Hazaimah, Oday Optimization and Control Functional Analysis Monotonicity of a mapping implies its pseudomonotonicity and hence quasimonotonocity, the converse is not true. In this note we intend to study the situations under which quasimono tonicity of a mapping implies its monotonicity. Thus we generalize some results in the literature related to the connection between monotonocity and its generalized classes for multi-valued mappings via translation maps in real topological spaces. No differentiability assumption is required but continuity assumption is imposed. |
| title | Translation Mappings of Quasimonotonicity Beyond Smoothness |
| topic | Optimization and Control Functional Analysis |
| url | https://arxiv.org/abs/2502.12071 |