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- Title
Complete Stationary Fuzzy Metric Space of The Bounded Closed Fuzzy Sets and Common Fixed Point Theorems.
- Authors
Dong Qiu; Hua Li; Chongxia Lu
- Abstract
In this paper, we introduce a stationary M∝-fuzzy metric on the set CB(X), where M∝-fuzzy metric can be thought of as the degree of nearness between twofuzzy sets with respect to any positive real number and CB(X) is the class of fuzzy sets with nonempty bounded closed α-cut sets. Under the ø-contraction conditions, we give some common fixed point theorems for self-mappings in the space CB(X).
- Subjects
METRIC spaces; METAPHYSICS; GENERALIZED spaces; METRIC geometry; REAL numbers
- Publication
IAENG International Journal of Applied Mathematics, 2015, Vol 45, Issue 4, p38
- ISSN
1992-9978
- Publication type
Article