Manifold approximation of set-valued functions
arXiv:0901.14452 citationsh-index: 19
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This work provides a theoretical foundation for set-valued functions, which is of interest to mathematicians working in analysis and topology.
The paper introduces a new continuity concept for set-valued functions and proves an existence theorem for such functions, addressing a gap in the theory of set-valued analysis.
A new continuity for set-valued functions is introduced, and an existence theorem is proved for such continuous set-valued functions.