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Necessary Conditions for a Fixed Point of Maps in Non-Metric Spaces
Department of Mathematics and Physics, Colorado State University, Pueblo, USA
- 1 Department of Mathematics and Physics, Colorado State University, Pueblo, USA
Advances in Pure Mathematics·Volume 02 (2012)·Pages 371–372·Published 9 November 2012·DOI10.4236/apm.2012.26055
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Abstract
The main purpose of the present work is to introduce necessary conditions for a map on a non-metric space, defined by using a map on a metric space, to have a fixed point.
KeywordsTopological SpaceComplete Metric Compact SpaceCauchy SequenceLipschitz Continuous MapContraction Map
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