Results 51 to 60 of about 4,974,492 (203)
Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Applied General Topology, 2019 Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps.
M. Radhakrishnan, S. Rajesh
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Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
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Lipschitz‐free spaces over uniformly discrete metric spaces are 3‐Schur
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We prove that the Lipschitz‐free space over any uniformly discrete metric space has the 3‐Schur property.
Marek Cúth, Ondřej F. K. Kalenda
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A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]
, 2020 We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes of -uniformly rotund spaces and ...
Suyalatu Wulede +2 more
core
Abstract and Applied Analysis, 2013 We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng +2 more
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Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
Journal of Mathematical Analysis and Applications, 1991 In a Hilbert space \(H\) the norm satisfies the so-called polarization identity: \[ \| x+y\|^ 2=\| x\|^ 2+2 \text{Re}\langle x,y\rangle+\| y\|^ 2. \] A number of authors (e.g. Reich, Kay, Bynum and Drew, Ishikawa, Prus and Smarzewski) have derived inequalities which generalize (in one way or another) the polarization identity to \(L^ p\)-spaces, or ...
Xu, Zong-Ben, Roach, G.F
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Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We characterize the extreme and exposed points of the unit ball (with respect to the L1$L^1$‐norm) in the shift‐invariant space generated by the Gaussian function, as well as in the quasi‐shift‐invariant space generated by the hyperbolic secant.
Markus Valås Hagen +3 more
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Tilings and coverings by balls in ℓ1$\ell _1$
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract A famous result of Klee from 1981 is that the Banach space ℓ1(κ)$\ell _1(\kappa)$ admits a disjoint tiling by balls of radius 1, for all cardinals κ$\kappa$ with κℵ0=κ$\kappa ^{\aleph _0} =\kappa$. Klee also observed that the smallest cardinal in which such a tiling might exist is κ=2ℵ0$\kappa = 2^{\aleph _0}$, leaving open the question ...
Carlo Alberto De Bernardi +3 more
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پژوهشهای ریاضی, 2018 Introduction Let be a nonempty subset of a normed linear space . A self-mapping is said to be nonexpansive provided that for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
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The Monotone Contraction Mapping Theorem
Journal of Mathematics, 2020 In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.
Joseph Frank Gordon
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