Results 61 to 70 of about 31,974 (245)
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
doaj
Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain
Abstract and Applied Analysis, 2014 We use a three-step iterative process to prove some strong and Δ-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain.
Safeer Hussain Khan
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Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source
On Fixed Point Property under Lipschitz and Uniform Embeddings
Journal of Function Spaces, 2018 We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has ...
Jichao Zhang, Lingxin Bao, Lili Su
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Common Attractive Point Results for Two Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]
, 2022 Chadarat Thongphaen +3 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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Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
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Convergence Analysis of Picard Thakur Hybrid Iterative Scheme for α-Nonexpansive Mappings in Uniformly Convex Banach Spaces [PDF]
, 2023 Cangmei Zhao +3 more
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source
Simultaneously continuous retraction and Bishop-Phelps-Bollob\'as type theorem [PDF]
, 2014 We study the existence of a retraction from the dual space $X^*$ of a (real or complex) Banach space $X$ onto its unit ball $B_{X^*}$ which is uniformly continuous in norm topology and continuous in weak-$*$ topology.
Han Ju Lee, Kim, Or X, Sun Kwang
core