Proximately chain refinable functions

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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