Results 21 to 30 of about 1,441,771 (239)

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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A fixed point method for the stability of functional equations in probabilistic normed quasi-linear spaces [PDF]

Journal of Mahani Mathematical Research
In this article, we define probabilistic normed quasi-linear spaces and provide some introductions and examples to clarify the structure of these spaces.
Zahra Dehvari, Mohammad Sadegh Modarres Mosadegh   +1 more
doaj   +1 more source

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, Harmouchi Nour-Eddine El, Mouline Jamal, Lazaiz Samih   +3 more
doaj   +1 more source

On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces

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
doaj   +1 more source

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, SEMPI, Carlo, G. Zhang, M. Zhang   +3 more
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I-convergence in probabilistic n-normed space

Soft Computing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binod Chandra Tripathy, Mausumi Sen, Soumitra Nath   +2 more
openaire   +5 more sources

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
doaj  

A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces

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, M. B. Ghaemi, Y. J. Cho, H. Majani   +3 more
doaj   +1 more source

On the definition of a probabilistic normed space

Aequationes Mathematicae, 1992
It is given a new definition of a probabilistic normed space. Before the definition the authors somewhat change equivalently the axioms of a usual norm. The given definition includes the earlier definition of A. N. Serstnev as a special case and leads naturally to the definition of the principal class of probabilistic normed spaces, the Menger spaces.
SCHWEIZER, B., SKLAR, A., Alsina, C.
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Normability of Probabilistic Normed Spaces

, 2004
Relying on Kolmogorov's classical characterization of normable Topological Vector spaces, we study the normability of those Probabilistic Normed Spaces that are also Topological Vector spaces and provide a characterization of normable Šerstnev spaces. We also study the normability of other two classes of Probabilistic Normed Spaces.
B. LAFUERZA GUILLEN, J. A. RODRIGUEZ LALLENA, SEMPI, Carlo   +2 more
openaire   +5 more sources