A note on suns in convex metric spaces

A Note on Suns in Convex Metric Spaces

We prove that in a convex metric space (X, d), an existence set K having a lower semi continuous metric projection is a δ-sun and in a complete M -space, a Chebyshev set K with a continuous metric projection is a γ-sun as well as almost convex.

A note on convergence in fuzzy metric spaces

The sequential $p$-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. In such a case $M$ is called an $s$-fuzzy metric. If $(N_M,ast)$ is a fuzzy metri...

a note on convergence in fuzzy metric spaces

the sequential $p$-convergence in a fuzzy metric space, in the sense of george and veeramani, was introduced by d. mihet as a weaker concept than convergence. here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. in such a case $m$ is called an $s$-fuzzy metric. if $(n_m,ast)$ is a fuzzy metri...

A Note on Quasi-metric Spaces

In the present note it is shown that a very useful generalized distance function may be defined in certain of these spaces. Clearly, any such distance function must be an asymmetric one. W. A. Wilson considered the definition of asymmetric distances in certain spaces which satisfy stronger separation axioms than K. I t is shown here that a slight modification of one of the axioms in [W] allows ...

A Note on Naturally Ordered Sets in Semi-metric Spaces