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
Random Continuous Perturbations of Random m-Accretive Operators in Banach Spaces
โ Scribed by W.M. Wang; Y.C. Zhao
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 356 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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