Resolution blowups, spectral convergence and quasi-asymptotically conical spaces
نویسندگان
چکیده
منابع مشابه
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.
متن کاملSpectral Geometry and Asymptotically Conic Convergence
In this paper we define asymptotically conic convergence in which a family of smooth Riemannian metrics degenerates to have an isolated conic singularity. This convergence is related to, and generalizes, the analytic surgery metric degeneration of [15]. For a conic metric (M0, g0) and a scattering metric (Z, gz) we define a nonstandard blowup, the resolution blowup, in which the conic singulari...
متن کاملConvergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
The purpose of this paper is to study the convergence and the almost sure T-stability of the modied SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of andom xed points of this kind of random operators, the convergence and the almost sure T-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our result...
متن کاملConvergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
The purpose of this paper is to study and give the necessary andsufficient condition of strong convergence of the multi-step iterative algorithmwith errors for a finite family of generalized asymptotically quasi-nonexpansivemappings to converge to common fixed points in Banach spaces. Our resultsextend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8,11, 14, 19]).
متن کاملStrong Convergence Theorems for Bregman Quasi–asymptotically Nonexpansive Mappings and Equilibrium Problem in Reflexive Banach Spaces
The purpose of this article is to propose an iteration algorithm for Bergman quasiasymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems. The results presented in the paper improve and extend the corresponding results of Reich and Sabach...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journées Équations aux dérivées partielles
سال: 2006
ISSN: 0752-0360
DOI: 10.5802/jedp.35