Fixed points in fuzzy metric spaces
Fuzzy Sets and Systems
Fixed point theorems for multivalued mappings in some classes of fuzzy metic spaces
Fuzzy Sets and Systems
A note on fixed point theorems of Hadzˇi´c
Fuzzy Sets and Systems
On some results in fuzzy metric spaces
Fuzzy Sets and Systems
Principle of weakly contractive maps in Hilbert spaces
New results in operator theory and its applications
Some remarks on distances between fuzzy numbers
Fuzzy Sets and Systems
An extension of Ekeland's variational principle in fuzzy metric space and its applications
Fuzzy Sets and Systems
Vector-valued variational principle in fuzzy metric space and its applications
Fuzzy Sets and Systems
Fuzzy contractive maps and fuzzy fixed points
Fuzzy Sets and Systems
On linearly topological structure and property of fuzzy normed linear space
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Mathematics
On the triangle inequalities in fuzzy metric spaces
Information Sciences: an International Journal
Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces
Fuzzy Sets and Systems
On the completion of fuzzy metric spaces
Fuzzy Sets and Systems
On the existence and the uniqueness of fixed points of Sehgal contractions
Fuzzy Sets and Systems
Condensing operators and topological degree theory in standard fuzzy normed spaces
Fuzzy Sets and Systems
A note on “Fixed point theorems for fuzzy mappings” by P. Vijayaraju and M. Marudai
Fuzzy Sets and Systems
A class of contractions in fuzzy metric spaces
Fuzzy Sets and Systems
A note on compactness in a fuzzy metric space
Fuzzy Sets and Systems
Hi-index | 0.20 |
In this paper the existence and unicity of fixed points for mappings in fuzzy metric spaces (in the sense of Kaleva and Seikkala) is discussed. Nonlinear contractions of the Boyd-Wong's type, Alber-Guerre Delabriere's type and Kannan-Reich's type are considered, and several new fixed point theorems for these contractions in complete fuzzy metric spaces are presented, respectively. Also, some error estimates are given for iterations to approximate fixed point. Previous work with respect to fixed point in fuzzy metric spaces is based on the t-conorm max. The presented work does away with this restriction, by proposing weaker conditions defining a generic class of suitable binary operations. As applications the corresponding fixed point theorems for Menger probabilistic metric spaces are obtained.