๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On 1-Set-Contraction Perturbations of Accretive Operators in Cones of Banach Spaces

โœ Scribed by Yu-Qing Chen; Yeol Je Cho

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
170 KB
Volume
201
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 q A s P is also given.

๐Ÿ“œ SIMILAR VOLUMES

Error Bounds for Approximation Solutions
Error Bounds for Approximation Solutions to Nonlinear Equations of Strongly Accretive Operators in Uniformly Smooth Banach Spaces
โœ Lu-Chuan Zeng ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 175 KB

Let X be a uniformly smooth Banach space and T : X ยช X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx s f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex

Random Fixed Point Theorems for Various
Random Fixed Point Theorems for Various Classes of 1-Set-Contractive Maps in Banach Spaces
โœ Naseer Shahzad ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

Various random fixed point theorems for different classes of 1-set-contractive random operator are proved. The class of 1-set-contractive random operators includes condensing and nonexpansive random operators. It also includes semicontractive type random operators and locally almost nonexpansive ran