- Iran, Islamic Republic of
Recently, Lael and Nourouzi [Some results on the IF-normed spaces. Chaos, Solitons & Fractals 2006; doi:10.1016/j.chaos.2006.10.019] introduced and studied a new notation of IF-normed spaces by using the idea of intuitionistic fuzzy... more
Recently, Lael and Nourouzi [Some results on the IF-normed spaces. Chaos, Solitons & Fractals 2006; doi:10.1016/j.chaos.2006.10.019] introduced and studied a new notation of IF-normed spaces by using the idea of intuitionistic fuzzy normed spaces due to Saadati and Park [On the intuitionistic fuzzy topological spaces. Chaos, Solitons & Fractals 2006;27:331–44], a special continuous t-norm i.e. min and a special continuous s-norm i.e. max. In this note, we consider the modified definition of IF-normed space i.e. LF-normed spaces and prove the open mapping and closed graph theorems for this space using arbitrary continuous t-norm.
Research Interests:
The main aim of this paper is to consider the fuzzy norm, difine the fuzzy Banach spaces, its quotients and prove some theoremes and in particular Open mapping and Closed graph theoremes on these spaces.
Research Interests:
Research Interests:
ABSTRACT In this study, the stability of the cubic functional equation: f(2x+y)+f(2x-y) = 2f(x+y)+2f(x-y)+ 12f(x) in the setting of Menger probabilistic normed spaces is proved.
Research Interests:
Research Interests:
Research Interests:
In this paper, a concept of monotone generalized contraction in partially ordered probabilistic metric spaces is introduced and some fixed and common fixed point theorems are proved. Presented theorems extend the results in partially... more
In this paper, a concept of monotone generalized contraction in partially ordered probabilistic metric spaces is introduced and some fixed and common fixed point theorems are proved. Presented theorems extend the results in partially ordered metric spaces of Nieto and Rodriguez-Lopez [Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order 22 (2005) 223–239; Existence and
Research Interests:
Research Interests:
We improve Park and Bae's common fixed point the- orem which is a generalization of Meir and Keeler's fixed point theorem. We extend... more
We improve Park and Bae's common fixed point the- orem which is a generalization of Meir and Keeler's fixed point theorem. We extend Kannan's fixed point theorem to a common fixed point theorem of two commuting maps. Also, using the notion of biased mappings, we prove another common fixed point theorem.
Research Interests:
Research Interests:
In this paper, we consider strongly bounded linear operators on a finite dimensional probabilistic normed space and define the topological isomorphism between probabilistic normed spaces. Then we prove that every finite dimensional... more
In this paper, we consider strongly bounded linear operators on a finite dimensional probabilistic normed space and define the topological isomorphism between probabilistic normed spaces. Then we prove that every finite dimensional probabilistic normed space which is a topological vector space is complete.
Research Interests:
The main problem analyzed in this paper consists in showing that, under some conditions, every almost quartic mapping from a linear space to a random normed space under the Łukasiewicz t-norm can be suitably approximated by a quartic... more
The main problem analyzed in this paper consists in showing that, under some conditions, every almost quartic mapping from a linear space to a random normed space under the Łukasiewicz t-norm can be suitably approximated by a quartic function, which is unique.
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests: Applied Mathematics, Common Property, Pure Mathematics, Fixed Point Theory, Fuzzy Mathematics, and 8 moreFuzzy Metric Space, Fixed Point Theorem, Computer Applications, Mathematical and Computer Modelling, Numerical Analysis and Computational Mathematics, Fuzzy Sets and Systems, Common Fixed Point, and L
Research Interests:
Research Interests:
Lee et al. considered the following quadratic functional equation f(lx+y)+f(lx−y)=2l2f(x)+2f(y) and proved the Hyers–Ulam–Rassias stability of the above functional equation in classical Banach spaces.In this paper, we prove the... more
Lee et al. considered the following quadratic functional equation f(lx+y)+f(lx−y)=2l2f(x)+2f(y) and proved the Hyers–Ulam–Rassias stability of the above functional equation in classical Banach spaces.In this paper, we prove the Hyers–Ulam–Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces.
Research Interests:
Research Interests:
Research Interests:
The purpose of this paper is first to introduce the notation of intuitionistic random normed spaces, and then by virtue of this notation to study the stability of a quartic functional equation in the setting of these spaces under... more
The purpose of this paper is first to introduce the notation of intuitionistic random normed spaces, and then by virtue of this notation to study the stability of a quartic functional equation in the setting of these spaces under arbitrary triangle norms. Then we prove the stability of above quartic functional equation in non-Archimedean random normed spaces. Furthermore, the interdisciplinary
Research Interests:
Research Interests:
... present a definition of an intuitionistic fuzzy inner product space which is based on the new ... to the definition of the most important class of intuitionistic fuzzy inner product spaces, namely ... two probability functions as will... more
... present a definition of an intuitionistic fuzzy inner product space which is based on the new ... to the definition of the most important class of intuitionistic fuzzy inner product spaces, namely ... two probability functions as will observe in [20]; for instance, it has a direct physic motivation ...