Let $(X, N)$ be a fuzzy normed space and $A$ be a fuzzy bounded subset of $X$. We define a notion for the space of continuous functions from a topological space $X$ to a fuzzy normed space $(Y, N)$, then we will show ...

We will establish set-valued version of Suzuki's fixed point theorem when the underling space is a complete $b$-metric. Our method enable us to prove set-valued versions of Hardy-Rogers and \\^{C}iri\\'{c} fixed point ...

We consider the question of preservation Baire and weakly Baire category under images and preimages of certain kind of functions. We will introduce a new class of functions which help us to improve some known results ...

On non-midpoint locally uniformly rotund normability in Banach spaces

In this paper, a non-strictly convex norm is exhibited. More precisely, we will show that X/c0 is not strictly convexifiable, where X is subspace of l$^\\\\infty$.

In this paper we introduce a notion for fuzzy Menger normed algebra. Then we will investigate continuity of algebraic operations in this space. We will show that the class of all fuzzy Menger normed algebras strictly ...

Let X be a Baire space, Y be a W -space and Z be a regular topological space. We will show that every KC -function f:X times Y to Z is strongly quasi-continuous at each point of X times Y . In particular, ...

In this paper the author uses the game characterization of fragmentability and sigmafragmentability

developed by P. S. Kenderov and W. B. Moors [J. London Math. Soc. (2) 60

(1999), no. 1, 203–223; MR1721825 ...

In this paper, we will investigate joint upper and lower semi-continuity of two-variable set-valued functions. More precisely. among other results, we will show that under certain conditions, a two-variable lower ...

In this paper, we will develop a new method to study coupled fixed points of a mapping $T:X \\times X \\to X$, where $(X, d)$ is a special class of $b$-metric spaces endowed with a graph. We will prove some general fixed ...