Vector-valued variational principle in fuzzy metric space and its applications
A vector-valued Ekeland's variational principle and its equivalents in fuzzy metric space are presented in this paper. Our result unifies and extends some of the previous results about single-valued and vector-valued Ekeland's variational principle. As an application, we obtain a fixed-point theorem in fuzzy metric space under a new contractive condition, which is a new generalization of well-known Banach contraction principle. All of our results are also new even in usual metric spaces. (C) 2001 Elsevier Science B.V. All rights reserved.
fuzzy metric space analysis fuzzy number fuzzy variational principle fixed point