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Research Article Open access CC BY 3.0

The Single-valued Character of Some Class of Multi-valued Admissible Mappings

Miroslaw Slosarski

Journal of Advances in Mathematics and Computer Science · pp. 453–459 · Published 16 Nov 2013

10.9734/BJMCS/2014/6860

Abstract

In the countably dimensional, separable and locally compact spaces, some class of admissible mappings was defined that is also closed due to composition and that has similar properties to the properties of single-valued mappings. A certain property of these maps was applied in the proof of Theorem 3.7, which is the main result of this work.

Absolute retracts absolute neighborhood retracts countable dimension trivial shape TSA-map homotopy extension TSA-contractible elementary extension.

References (8)

  1. 1 Theory of retracts
  2. 2 Theory of shape
  3. 3 Homological methods in fixed-point theory of multi-valued maps
  4. 4 Graph convergence for the H ( ⋅ , ⋅ ) -mixed mappingwith an application for solving the system of generalized variationalinclusions [DOI]
  5. 5 Generalized -Cocoercive Operators and Generalized Set-Valued Variational-Like Inclusions [DOI]
  6. 6 A dimension raising hereditary shape equivalence [DOI]
  7. 7 Elementary extension of multi-valued mappings and its application
  8. 8 The homotopies of admissible multivalued mappings [DOI]

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