@article{article_629907, title={Proximately chain refinable functions}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={48}, pages={1437–1442}, year={2019}, author={Buklla, Abdulla and Markoski, Gjorgji}, keywords={proximately chain refinable functions,proximate fixed point,near function,chain}, 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.}, number={5}, publisher={Hacettepe University}