Abstract

In the present paper a notion of convergence in multi metric space is presented. Complete multi metric space is introduced and some properties are studied. Cantor's intersection theorem and Banach's fixed point theorem are established in multi set settings. 

Keywords and Phrases

Multi metric, iterative sequence, Cantor's intersection theorem, Banach's fixed point theorem.

A.M.S. subject classification

54E35, 54E50.

.....