𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perturbation theorems for positive eigenvalues of countably condensing maps

✍ Scribed by In-Sook Kim


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
678 KB
Volume
39
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis


Using a homotopy extension theorem, we give a perturbation theorem for countably condensing maps in a more general setting. Moreover, we prove perturbation theorems for positive eigenvalues of countably condensing maps in locally convex topological vector spaces which include the case of condensing maps due to Jerofsky [1]. (~) 2004 Elsevier Ltd. All rights reserved.


πŸ“œ SIMILAR VOLUMES


Weak convergence theorems for a countabl
✍ Weerayuth Nilsrakoo; Satit Saejung πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 724 KB

This paper is concerned with convergence of an approximating common fixed point sequence of countable Lipschitzian mappings in a uniformly convex Banach space. We also establish weak convergence theorems for finding a common element of the set of fixed points, the set of solutions of an equilibrium

Weak convergence theorem for monotone ma
✍ Somyot Plubtieng; Poom Kumam πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 493 KB

In this paper, we introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for an Ξ±-inverse-strongly-monotone mapping. We obtain a weak convergence the

The invariance of domain theorem for cou
✍ Juan A. Gatica; Yun-Ho Kim πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 281 KB

The purpose of this paper is to extend the invariance of domain theorem to a large class of countably 1-Ξ³ -contractive maps, by using homotopy theory and degree theory for countably 1-Ξ³ -contractive maps.