Title of article :
Banach Type Fixed Point Theorem for Set Valued Maps on a Fuzzy Metric Space
Author/Authors :
Sastry ، K.P.R. , Kameswari ، M.V.R. - Gitam University , Rao ، Ch. Srinivasa - Mrs. A.V.N. College , Bhaskar ، R. Venkata - Raghu Engineering College
Abstract :
In this paper, we introduce the notion of boundedness in a fuzzy metric space. This notion is a special case of the notion of F-boundedness due to . Using this notion, we prove a fixed point theorem for maps from a fuzzy metric space to a sub class of the set of bounded subsets of that fuzzy metric space, under Hadzic type t-norm. The proof of our theorem is non-constructive.
Keywords :
Fuzzy metric space , F , boundedness , bounded subset of Fuzzy metric space , Hadzic type t , norm , set , valued M , maps
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
