The Chainable Metric Spaces and Sets

The Chainable Metric Spaces and Sets

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The primary objective of this research work is to generalize the study of e-chains between two points to two sets in metric spaces. This generalization yields a characterization of e-chainable sets in terms of e-chains between points and sequences, In chapter 3, we investigate the relation between compact sets and e- chainable sets and define self- chainable sets, uniform chainable sets, strongly chainable sets with examples and prove fixed point theorem. After this in chapter 4, we define locally chainable sets in metric space and prove various new results. In chapter 5, The notion of locally...