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A note on envelopes of homotopies
Authors:Hahng-Yun Chu  Jong-Suh Park
Affiliation:Department of Mathematics, Chungnam National University, 99 Daehak-ro, Yuseong-gu, Daejeon 305-764, Republic of Korea
Abstract:In this article, we deal with the notion of the envelopes of homotopies which is the generalized version of functional envelopes in discrete dynamical systems. We prove the stability for envelopes of homotopies in complete normed algebra and we get the stabilities of the derivation and the extended derivation for the notion in the spaces.
Keywords:homotopy  envelopes of homotopies  stability  derivation
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