1. Altering points and applications.
- Author
-
Sahu, D. R.
- Subjects
- *
ITERATIVE methods (Mathematics) , *STOCHASTIC convergence , *OPERATOR theory , *NONLINEAR operators , *HYBRID systems , *FIXED point theory , *MONOTONE operators - Abstract
It is well known that the rate of convergence of 5-iteration process introduced by Agarwal et al. [J. Nonlinear Convex Anal., 8 (1) (2007), 61-79.] is faster than Picard iteration process for contraction operators. Following the ideas of S-iteration process, we introduce a parallel S-iteration process for finding altering points of nonlinear operators. We apply our algorithms to solve a system of operator equations in Banach space setting. This work also includes convergence analysis of hybrid steepest-descent-like method and hybrid Newton-like method in the context of altering points. [ABSTRACT FROM AUTHOR]
- Published
- 2014