Certain aspects of rough I-statistical convergence in probabilistic n-normed space
Filomat, 2023 The main aim of this investigation is to introduce rough I-statistical convergence in probabilistic n-normed spaces (briefly Pr-n-spaces). We establish some results on roughI-statistical convergence and also we introduce the notion of rough I ...
B. Tripathy, Ömer Kisi, Mehmet Gürdal
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On α-Šerstnev probabilistic normed spaces [PDF]
Journal of Inequalities and Applications, 2011 In this article, the condition alpha-S is defined for alpha in ]0,1[U]1, +infty[ and several clases of alpha-Serstnev PN spacesd, the relationship between alpha-simple PN spaces and alpha-Serstnev PN spaces and a study of PN spaces of linear operators wich are alpha-Serstnev PN spaces are given.
Lafuerza Guillén, Bernardo +1 more
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A study of boundedness in probabilistic normed spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1999 Probabilistic normed spaces have been redefined by Alsina, Schweizer, and Sklar. We give a detailed analysis of various boundedness notions for linear operators between such spaces and we study the relationship among them and also with the notion of continuity.
B. Lafuerza Guillén +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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Some Results via De La Vallée-poussin Mean in Probabilistic 2-normed Spaces
International journal of pure mathematics, 2022 In this article we introduce some new type of summability methods for double sequences involving the ideas of de la Vallée-Poussin mean in probabilistic 2 -normed space and examine some important results.
U. Yamancı, M. Gürdal, S. Aytar
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Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces
Journal of Inequalities and Applications, 2010 We establish a generalized Ulam-Hyers stability theorem in a Šerstnev probabilistic normed space (briefly, Šerstnev PN-space) endowed with ΠM.
C. Park +3 more
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Countable products of probabilistic normed spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 Countable products of probabilistic normed spaces are introduced and studied. In particular, a comparison is made with the analogous constructions for probabilistic metric spaces.
B. Lafuerza Guillen +3 more
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Compact Operators Defined on 2‐Normed and 2‐Probabilistic Normed Spaces [PDF]
Mathematical Problems in Engineering, 2009 The compact operators defined on 2‐normed spaces are investigated, and then the main ideas are generalized to operators defined on 2‐probabilistic normed spaces.
Lael, Fatemeh, Nourouzi, Kourosh
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Some new lacunary statistical convergence with ideals
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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A Hybrid Probabilistic-Neutrosophic Adaptive Convergence Model for Analyzing Innovative Performance of Agricultural Technology Enterprises in the Digital Economy [PDF]
Neutrosophic Sets and SystemsThis paper introduces a novel mathematical framework that integrates hybrid probabilistic-neutrosophic logic with adaptive rough ideal statistical convergence (AR-I st) to model and analyze the dynamic performance of innovative agricultural technology ...
Hongyan Xie
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