On a fixed point theorem in 2-Banach spaces and some of its applications

J Brzdek, K CIEPLIŃSKI - Acta mathematica scientia, 2018 - Elsevier
The aim of this article is to prove a fixed point theorem in 2-Banach spaces and show its
applications to the Ulam stability of functional equations. The obtained stability results …

On Ulam stability of functional equations in 2-normed spaces—A survey II

ES El-Hady, J Brzdęk - Symmetry, 2022 - mdpi.com
Ulam stability is motivated by the following issue: how much an approximate solution of an
equation differs from the exact solutions to the equation. It is connected to some other areas …

On Ulam stability with respect to 2-norm

J Brzdęk - Symmetry, 2023 - mdpi.com
The Ulam stability of various equations (eg, differential, difference, integral, and functional)
concerns the following issue: how much does an approximate solution of an equation differ …

[HTML][HTML] Approximation of radical functional equations related to quadratic and quartic mappings

H Khodaei, ME Gordji, SS Kim, YJ Cho - Journal of mathematical analysis …, 2012 - Elsevier
In this paper, we introduce and solve of the radical quadratic and radical quartic functional
equations: We also establish some stability results in 2-normed spaces and then the stability …

[PDF][PDF] On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function

E Savaş - journal of Inequalities and Applications, 2010 - Springer
Research Article On Some New Sequence Spaces in 2-Normed Spaces Using Ideal Convergence
and an Orlicz Function Page 1 Hindawi Publishing Corporation Journal of Inequalities and …

[PDF][PDF] Fixed points and lines in 2-metric spaces

A Aliouche, CT Simpson - arXiv preprint arXiv:1003.5744, 2010 - arxiv.org
arXiv:1003.5744v3 [math.MG] 6 Apr 2011 Page 1 arXiv:1003.5744v3 [math.MG] 6 Apr 2011
FIXED POINTS AND LINES IN 2-METRIC SPACES ABDELKRIM ALIOUCHE AND CARLOS …

[PDF][PDF] A-sequence spaces in 2-normed space defined by ideal convergence and an Orlicz function

E Savaş - Abstract and Applied Analysis, 2011 - projecteuclid.org
bold0mu mumu AAAAAA-Sequence Spaces in 2-Normed Space Defined by Ideal Convergence
and an Orlicz Function Page 1 Hindawi Publishing Corporation Abstract and Applied Analysis …

[HTML][HTML] Approximate solution of radical quartic functional equation related to additive mapping in 2-Banach spaces

II El-Fassi - Journal of Mathematical Analysis and Applications, 2017 - Elsevier
The aim of this paper is first to reformulate the fixed point theorem [4, Theorem 1] in 2-
Banach spaces, after it, we introduce and solve the radical quartic functional equation f (x 4+ …

Generalized probabilistic metric spaces and fixed point theorems

C Zhou, S Wang, L Ćirić, SM Alsulami - Fixed Point Theory and …, 2014 - Springer
In this paper, we introduce a new concept of probabilistic metric space, which is a
generalization of the Menger probabilistic metric space, and we investigate some …

[HTML][HTML] Ideal convergence characterization of the completion of linear n-normed spaces

A Şahiner, M Gürdal, T Yiğit - Computers & Mathematics with Applications, 2011 - Elsevier
Ideal convergence characterization of the completion of linear n-normed spaces -
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