Proximately chain refinable functions

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Hacettepe Journal of Mathematics and Statistics
Volume:48 Issue:5
Proximately chain refinable functions

Proximately chain refinable functions

Authors : Abdulla BUKLLA, Gjorgji MARKOSKİ

Pages : 1437-1442

View : 63 | Download : 11

Publication Date : 2019-10-08

Article Type : Research Paper

Abstract :We define proximately chain refinable functions as a generalization of refinable maps and investigate some of their properties for Hausdorff paracompact spaces. We prove that the proximate fixed point property is preserved by proximate near homeomorphisms in paracompact Hausdorff spaces. This generalizes a previous result of E. Grace.
Keywords : proximately chain refinable functions, proximate fixed point, near function, chain

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