Statistical Convergence of Double Sequences on Probabilistic Normed Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003.
S. Karakus, K. Demırcı
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A fixed point method for the stability of functional equations in probabilistic normed quasi-linear spaces [PDF]
Journal of Mahani Mathematical ResearchIn this article, we define probabilistic normed quasi-linear spaces and provide some introductions and examples to clarify the structure of these spaces.
Zahra Dehvari +1 more
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Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces [PDF]
Fixed Point Theory and Applications, 2009 We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations (linear functional equations, generalized equation of ...
Viorel Radu, Liviu Cădariu
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Some new lacunary statistical convergence with ideals [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
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Menger probabilistic normed space is a category topological vector space [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators.
Ildar Sadeqi, Farnaz Yaqub Azari
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International Journal of Mathematics and Mathematical Sciences, 1994 In this paper, we introduce the concept of more general probabilistic contractors in probabilistic normed spaces and show the existence and uniqueness of solutions for set-valued and single-valued nonlinear operator equations in Menger probabilistic ...
Shih-Sen Chang, Yeol Je Cho, Fan Wang
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A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces [PDF]
Abstract and Applied Analysis, 2011 We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.
M. Eshaghi Gordji +3 more
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Fixed point theorems in generating spaces of quasi-norm family and applications
Fixed Point Theory and Applications, 2006 Some new concepts of generating spaces of quasi-norm family are introduced and their linear topological structures are studied. These spaces are not necessarily locally convex.
Xing-Hua Zhu, Jian-Zhong Xiao
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Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes ...
P. Hemavathi +3 more
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On best proximity point theorems for relatively nonexpansive mappings in locally convex spaces
Moroccan Journal of Pure and Applied Analysis, 2023 This paper explores the concept of normal structure by introducing a generalized form known as P-proximal normal structure. Focusing on the framework of Hausdorff locally convex spaces, the study establishes optimal proximity outcomes for both cyclic and
Saadaoui Brahim +3 more
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