On perturbations of linear m-accretive operators on reflexive Banach spaces
โ Scribed by Klaus-J. Engel
- Publisher
- Springer Vienna
- Year
- 1995
- Tongue
- English
- Weight
- 267 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let P be a cone in a Banach space E. In this paper, we show the existence of solutions of the operator equation y g yAx q Tx for y g P, where T is a 1-set-contraction operator in P and A is an accretive operator in P satisfying ลฝ . ลฝ . R I q A s P for all ) 0. Further, a sufficient condition for R I
Let X be a real Banach space and T : D(T) C X --\\* 2 X be an m-accretive operator. Let C : D(T) C X --~ X be a bounded operator (not necessarily continuous) such that C(T -+-i)-1 is compact. Suppose that for every x โข D(T) with Hxll > r, there exists jx 6 Jx such that > o, (,) for all u E Tx. Then