Random fixed point theorems for a random operator on an unbounded subset of a Banach space
โ Scribed by Ismat Beg; Mujahid Abbas
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 184 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
Results regarding the existence of random fixed points of a nonexpansive random operator defined on an unbounded subset of a Banach space are proved.
๐ SIMILAR VOLUMES
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
In this paper, we study a class of nonlinear operator equations with more extensive conditions in ordered Banach spaces. By using the cone theory and Banach contraction mapping principle, the existence and uniqueness of solutions for such equations are investigated without demanding the existence of