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- Title
A Generalized Nonlinear Random Equations with Random Fuzzy Mappings in Uniformly Smooth Banach Spaces.
- Authors
Onjai-Uea, Nawitcha; Poom Kumam
- Abstract
We introduce and study the general nonlinear random (H, η)-accretive equations with random fuzzy mappings. By using the resolvent technique for the (H, η)-accretive operators, we prove the existence theorems and convergence theorems of the generalized random iterative algorithm for this nonlinear random equations with random fuzzy mappings in q-uniformly smooth Banach spaces. Our result in this paper improves and generalizes some known corresponding results in the literature.
- Subjects
BANACH spaces; FUZZY sets; RESOLVENTS (Mathematics); ACCELERATION of convergence in numerical analysis; ITERATIVE methods (Mathematics); VARIATIONAL inequalities (Mathematics)
- Publication
Journal of Inequalities & Applications, 2010, Vol 2010, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1155/2010/728452