• SOME FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN D*- METRIC SPACES

T. Veera Pandi*, Aji M. Pillai, Dr. A. Subramaniam

Abstract


In this paper we establish some Fixed Point Theorems for multivalued contraction and some generalized multivaled contraction mappings in D* - metric space. In natural setting it has very important application in control theory which is initated by Nadler. Jr[18] and subsequently developed by Assad and Kirk[17]Browder[14] Goebel [16] Iami-Doze [17] in metric spaces. In what follows (X, D*) will denote D* - metric space, (CB(X),H) is a Hausdorff metric space introduced by D*-- metric ,N, the set of all natural number and R+, the set of all positive real number.

Keywords


D*- metric, Contraction mapping, Complete D*-metric space, Hausdorff metric, Fixed point theorem.

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