𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear operators on convex subsets of Banach spaces

✍ Scribed by Bui An Ton


Publisher
Springer
Year
1969
Tongue
English
Weight
554 KB
Volume
181
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Nonlinear variational inequalities on co
✍ R.U. Verma πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 164 KB

The solvability of a class of nonlinear variational inequality problems involving p-monotone and p-Lipschitz types of operators is presented.

Generalized Daugavet Equations and Inver
✍ C.-S. Lin πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 156 KB

In this article we shall introduce and investigate a notion of generalized 5 5 5 5 5 5 Daugavet equation I q S q T s 1 q S q T for operators S and T on a uniformly convex Banach space into itself, where I denotes the identity operator. This extends the well-known Daugavet equation 5 5 5 5 IqT s1q T

Three positive fixed points of nonlinear
✍ R.I. Avery; A.C. Peterson πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 331 KB

We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving conditions that imply the existence of three fixed points of an operator defined on a cone in a Banach space. We then show how to apply our theorem to prove the existence of three positive solutions to a second-orde