Results 11 to 20 of about 445 (74)
Best proximity point theorems for rational proximal contractions
, 2013 We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces.
H. Nashine, Poom Kumam, C. Vetro
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On non‐midpoint locally uniformly rotund normability in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 25, Page 1343-1346, 2004., 2004 We will show that if X is a tree‐complete subspace of ℓ∞, which contains c0, then it does not admit any weakly midpoint locally uniformly convex renorming. It follows that such a space has no equivalent Kadec renorming.
A. K. Mirmostafaee
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Interpolation methods to estimate eigenvalue distribution of some integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 479-485, 2004., 2004 We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel‐Lizorkin function space Fpuσ(F qvτ) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel‐Lizorkin space Fpuσ(Ω) and Besov space Bpqτ(Ω) and the interpolation methods to get an estimation ...
E. M. El-Shobaky +3 more
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Fixed point results of pointwise contractions in modular metric spaces
, 2013 The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced.
A. A. Abdou, M. Khamsi
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Double‐dual n‐types over Banach spaces not containing ℓ1
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 33, Page 1747-1755, 2004., 2004 Let E be a Banach space. The concept of n‐type overE is introduced here, generalizing the concept of type overE introduced by Krivine and Maurey. Let E″ be the second dual of E and fix g″1,…g″n∈E″. The function τ : E × ℝn → ℝ, defined by letting τ(x,a1,…,an)=‖x+∑i=1naig″i‖ for all x ∈ E and all a1, …, an ∈ ℝ, defines an n‐type over E. Types that can be
Markus Pomper
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Semi-smooth points in space of operators on Hilbert space
, 2020 The investigations of the smooth points in the operator spaces K (H ) and L (H ) were started in [J. R. Holub, Math. Ann. 201 (1973), 157–163] and [T. J. Abatzoglou, Math. Ann. 239 (1979), 129–135].
P. Wójcik
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On uniform Kadec‐Klee properties and rotundity in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 2, Page 91-97, 2004., 2004 We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces(p) equipped with the Amemiya norm is rotund and has uniform Kadec‐Klee property.
Narin Petrot, Suthep Suantai
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Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems
, 2013 In this paper, we introduce a multi-valued cyclic generalized contraction by extending the Mizoguchi and Takahashi’s contraction for non-self mappings. We also establish a best proximity point for such type contraction mappings in the context of metric ...
Poom Kumam +3 more
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Analytical Study on Approximate ð-Birkhoff-James Orthogonality
, 2020 In this paper, we obtain a complete characterization for the norm and the minimum norm attainment sets of bounded linear operators on a real Banach spaces at a vector in the unit sphere, using approximate ε-Birkhoff-James orthogonality techniques.
Saied A. Jhonny, B. Ahmed
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On the weak uniform rotundity of Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1943-1945, 2003., 2003 We prove that if Xi, i = 1, 2, …, are Banach spaces that are weak* uniformly rotund, then their lp product space (p > 1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively.
Wen D. Chang, Ping Chang
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