Results 21 to 30 of about 122,069 (234)

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
openaire   +2 more sources

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
openaire   +1 more source

Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces

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
doaj   +2 more sources

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

Compactness and D-Boundedness in Menger’s 2-Probabilistic Normed Spaces [PDF]

, 2016
The idea of convex sets and various related results in 2-Probabilistic normed spaces were established in \cite{HR}. In this paper, We obtain the concepts of convex series closedness, convex series compactness, boundedness and their interrelationships in ...
P. Harikrishnan, B. L. Guillén, K. Ravindran   +2 more
semanticscholar   +1 more source

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 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

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
semanticscholar   +1 more source

Some Properties Of N-Co probabilistic Normed Space And Co-probabilistic Dual Space Of N-Co probabilistic Normed Space

Journal of Kufa for Mathematics and Computer, 2013
The primary purpose of this paper is to introduce the, N-coprobabilistic normed space, coprobabilistic dual space of N-coprobabilistic normed space and give some facts that are related of them.
Suad Naji Kadhim, Faria Ali Mohamad
openaire   +2 more sources

Weak and strong convergence theorems of fixed points for nonexpansive mappings and strongly pseudocontractive mappings in a new class of probabilistic normed spaces

Fixed Point Theory and Applications, 2015
The purpose of this paper is to present a new class of probabilistic normed spaces and to study fixed point problems in this class of probabilistic normed spaces.
Yongchun Xu, Jinyu Guan, Yongfu Su
semanticscholar   +2 more sources