Results 11 to 20 of about 3,123 (248)
On Conjugate Space of a Fuzzy 2-Banach Space [PDF]
Fuzzy Information and Engineering, 2016 The notion of conjugate space of a fuzzy 2-Banach space is introduced. Some of its properties are obtained as standard results. It is shown that the conjugate space B* of a fuzzy 2-Banach space B is a fuzzy 2-Banach space up to comparability.
A.R. Meenakshi, D. Cokilavany
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Generalized Hyers–Ulam stability of mixed-type additive-quartic mappings in 2-Banach spaces
Demonstratio MathematicaThis paper aims to explore the stability of a mixed-type additive-quartic functional equation in 2-Banach spaces via the direct method. We categorize mappings satisfying a certain functional inequality into odd, even, and general mappings, and establish ...
Ponmana Selvan Arumugam +2 more
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Involutions with fixed points in 2‐Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 Inspired by a condition of \textit{D. Delbosco} [Jñānābha 16, 1-11 (1986; Zbl 0632.54026)], the author extends a fixed point theorem of \textit{N. A. Assad} and the reviewer [Math. J. Toyama Univ. 14, 141-146 (1991; Zbl 0752.47020)] from a Banach space to a 2-Banach space \(X\) for involution maps \(T\) satisfying the following inequality: \[ d(Tx, Ty,
M. S. Khan, Mohammad Danish Khan
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Fixed Points of Expansive Type Mappings in 2-Banach Spaces
International Journal of Analysis and Applications, 2013 In present paper, we define expansive mappings in 2-Banach space and prove some common unique fixed point theorems which are the extension of results of Wang et al. [12] and Rhoades [9] in 2-Banach space.
Prabha Chouhan, Neeraj Malviya
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Additive functional inequalities in 2-Banach spaces [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choonkil Park
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Stability of Complex Functional Equations in 2-Banach Spaces [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2021 Summary: In the paper, we obtain some results for the Hyers-Ulam stability of the following functional equations: \[ \mathsf{q}(x+iy)+\mathsf{q}(x-iy)+\mathsf{q}(y+ix)+\mathsf{q}(y-ix)=2\mathsf{q}(x)+2\mathsf{q}(y) \] and \[ \mathsf{q}(x+iy)+\mathsf{q}(x-iy)+\mathsf{q}(y+ix)+\mathsf{q}(y-ix)=0 \] in the setting of 2-Banach spaces.
Rana, Anshul +2 more
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Asymptotic regularity and fixed point theorems on a 2-Banach space [PDF]
Surveys in Mathematics and its Applications, 2012 The present paper deals with some fixed point theorems for a class of mixed type of contraction maps possessing the asymptotically regular property in a 2-Banach space.
Mantu Saha +3 more
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Observations on the Separable Quotient Problem for Banach Spaces
Axioms, 2020 The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
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Journal of Inequalities and Applications, 2021 In a recently published theorem on the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings, Tang et al. (J. Inequal. Appl.
C. E. Chidume
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Banach spaces for which the space of operators has 2𝔠 closed ideals
Forum of Mathematics, Sigma, 2021 We formulate general conditions which imply that ${\mathcal L}(X,Y)$, the space of operators from a Banach space X to a Banach space Y, has $2^{{\mathfrak {c}}}$ closed ideals, where ${\mathfrak {c}}$ is the cardinality of the continuum.
Daniel Freeman +2 more
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