Results 11 to 20 of about 1,424 (201)

Involutions with fixed points in 2-Banach spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
Some results on fixed points of involution maps in 2-Banach spaces have been obtained. These are extensions of those proved earlier by Goebel-Zlotkiewicz, Sharma-Sharma, Assad-Sessa and Iśeki.
M. S. Khan, M. D. Khan
doaj   +2 more sources

Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces

open access: yesMathematics, 2023
In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-condition using the direct method (Hyers method).
Kandhasamy Tamilvanan   +5 more
doaj   +3 more sources

Stability of Complex Functional Equations in 2-Banach Spaces [PDF]

open access: yesZurnal 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
openaire   +2 more sources

Fixed Points of Expansive Type Mappings in 2-Banach Spaces

open access: yesInternational 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
doaj   +3 more sources

Approximation theory in 2-Banach spaces

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guerdal, Mehmet   +2 more
openaire   +4 more sources

Statistical approximation with a sequence of 2-Banach spaces

open access: yesMathematical and Computer Modelling, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Gürdal, Ahmet Sahiner
openaire   +5 more sources

On Conjugate Space of a Fuzzy 2-Banach Space

open access: yesFuzzy 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
openaire   +2 more sources

Isomorphic spectrum and isomorphic length of a Banach space

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
We prove that, given any ordinal $\delta < \omega_2$, there exists a transfinite $\delta$-sequence of separable Banach spaces $(X_\alpha)_{\alpha < \delta}$ such that $X_\alpha$ embeds isomorphically into $X_\beta$ and contains no subspace isomorphic to $
O. Fotiy, M. Ostrovskii, M. Popov
doaj   +1 more source

Strong Convergence Theorems for Variational Inequalities and Common Fixed-Point Problems Using Relaxed Mann Implicit Iteration Methods

open access: yesMathematics, 2019
Mann-like iteration methods are significant to deal with convex feasibility problems in Banach spaces. We focus on a relaxed Mann implicit iteration method to solve a general system of accretive variational inequalities with an asymptotically ...
Lu-Chuan Ceng, Meijuan Shang
doaj   +1 more source

Approaches of linear operators in the intuitionistic fuzzy 2-Banach spaces

open access: yesLogic Journal of the IGPL, 2018
The focus of this paper is to present some concepts of intuitionistic fuzzy T-convergence in intuitionistic fuzzy 2-Banach spaces. We will modify and correct the definition of regularity of 2-norms on 2-Banach spaces, which was given by Gurdal et al. in (2009, Nonlinear Analysis: Theory, Methods & Applications, 71, 1654-1661) to guarantee uniqueness of
Vatan Karakaya, Müzeyyen Ertürk
openaire   +3 more sources

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