International Journal of Nonlinear Analysis and Applications

On the $\Phi$-reflexive property of $(X,\Upsilon)$-structures

Document Type : Research Paper

Authors

1 School of Mathematics‎, ‎Iran University of Science and Technology,‎ ‎Narmak‎, ‎16846-13114‎, ‎Tehran‎, ‎Iran

2 Department of Mathematics‎, ‎Yazd University‎, ‎89195-741‎, ‎Yazd‎, ‎Iran

Abstract

‎We use $\Phi$-reflexive property on some geometrical structures(Fr\"{o}licher spaces‎, ‎Sikorski spaces and diffeological spaces) to prove that some results on $(X,\Upsilon)$-structures‎. ‎Finally‎, ‎we introduce $\mathcal{P}$-tangent bundles‎, ‎$\mathcal{F}$-tangent bundles and obtain a relation between these bundles and $\Phi$-reflexive property‎.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 509-519
  • Receive Date: 19 December 2017
  • Revise Date: 06 December 2019
  • Accept Date: 02 March 2020