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SOME RESULTS ON FUZZY BANACH SPACES
SAADATI, R.,VAEZPOUR, S. M. 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
The main aim of this paper is to consider the fuzzy norm, define the fuzzy Banach spaces, its quotients and prove some theoremes and in particular Open mapping and Closed graph theoremes on these spaces.
Non-Archimedean L-fuzzy normed spaces and stability of functional equations
Saadati, R.,Park, C. Pergamon Press ; Elsevier Science Ltd 2010 COMPUTERS & MATHEMATICS WITH APPLICATIONS - Vol.60 No.8
Lee et al. considered the following quadratic functional equation f(lx+y)+f(lx-y)=2l<SUP>2</SUP>f(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.
Some results on fuzzy Banach spaces
R. Saadati,S. M. Vaezpour 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1-2
The main aim of this paper is to consider the fuzzy norm, define the fuzzy Banach spaces, its quotients and prove some theoremes and in particular Open mapping and Closed graph theoremes on these spaces.
Fixed Point Theorem in Multi-Banach Algebras
Saadati, R.,Vahidi, J.,Park, C. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.17 No.3
In this paper, we apply a fixed point theorem to solve the operator equation AxBx = x in multi-Banach algebras under a nonlinear contraction.
ISOMETRIES IN PROBABILISTIC 2-NORMED SPACES
F. Rahbarnia,조열제,R. Saadati,Gh.Sadeghi 충청수학회 2009 충청수학회지 Vol.22 No.4
The classical Mazur-Ulam theorem states that every surjective isometry between real normed spaces is affine. In this paper, we study 2-isometries in probabilistic 2-normed spaces.
Common fixed point theorems on generalized distance in ordered cone metric spaces
Cho, Y.J.,Saadati, R.,Wang, S. Pergamon Press ; Elsevier Science Ltd 2011 COMPUTERS & MATHEMATICS WITH APPLICATIONS - Vol.61 No.4
In this paper, we introduce a concept of the c-distance in a cone metric space and, by using the concept of the c-distance, prove some fixed point theorems in ordered cone metric spaces.
On the Intuitionistic Fuzzy Metric Spaces
Jin Han Park,R. Saadati 한국지능시스템학회 2005 한국지능시스템학회 학술발표 논문집 Vol.15 No.1
In this paper, we define pre compact set in intuitionistic fuzzymetric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is pre compact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any Gδ set in a complete intuitionistic fuzzy metric spaces is a topologically complete intuitionistic fuzzy metrizable space and vice versa.