Results 11 to 20 of about 1,424 (201)
Involutions with fixed points in 2-Banach spaces [PDF]
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
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Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces
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
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Stability of Complex Functional Equations in 2-Banach Spaces [PDF]
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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Fixed Points of Expansive Type Mappings in 2-Banach Spaces
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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Approximation theory in 2-Banach spaces
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Guerdal, Mehmet +2 more
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Statistical approximation with a sequence of 2-Banach spaces
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Mehmet Gürdal, Ahmet Sahiner
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On Conjugate Space of a Fuzzy 2-Banach Space
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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Isomorphic spectrum and isomorphic length of a Banach space
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
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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
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Approaches of linear operators in the intuitionistic fuzzy 2-Banach spaces
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
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