On locally contractive fuzzy set-valued mappings

Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings

A note on fuzzy contractive mappings in fuzzy metric spaces

Definition 1.1 (see [1]). A triple (X ,M,∗), where X is an arbitrary set, ∗ is a continuous t-norm, andM is a fuzzy set on X2× (0,∞), is said to be a fuzzy metric space (in the sense of George and Veeramani) if the following conditions are satisfied for all x, y ∈ X and s, t > 0: (GV-1) M(x, y, t) > 0; (GV-2) M(x, y, t)= 1 if and only if x = y; (GV-3) M(x, y, t)=M(y,x, t); (GV-4) M(x, y,·) is c...

Quasi-contractive Mappings in Fuzzy Metric Spaces

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.

Fixed Point of $T_{F}$ − contractive Single-valued Mappings

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality depended on another function. This conditions is analogous of Banach conditions and general contraction condition of integral type.

On Interval-Valued Fuzzy Weakly m*-continuous Mappings on Interval-Valued Fuzzy Minimal Spaces

In this paper, we introduce the concept of IVF weakly m∗-continuous mappings on between IVF minimal spaces and investigate some characterizations for such mappings. Also we study the relationships IVF weakly m∗-continuous mappings and IVF M -compactness. Key ords : IVF minimal space, IVF weakly m∗-continuous, IVF M -compact, almost IVF M -compact, nearly IVF M -compact