TY - CONF

T1 - Admissible perturbations of alpha-psi-pseudocontractive operators: convergence theorems

AU - Toscano, Elena

AU - Vetro, Calogero

PY - 2015

Y1 - 2015

N2 - In the last decades, the study of convergence of fixed point iterative methods has received an increasing attention, due to their performance as tools for solving numerical problems. As a consequence of this fact, one can access to a wide literature on iterative schemes involving different types of operators; see [2, 4, 5]. We point out that fixed point iterative approximation methods have been largely applied in dealing with stability and convergence problems; see [1, 6]. In particular, we refer to various control and optimization questions arising in pure and applied sciences involving dynamical systems, where the problem in study can be easily arranged as a fixed point problem. Then, we prove some convergence theorems for a certain class of operators in real Hilbert spaces. Precisely, by using the concept of admissible perturbation of alpha-psi-pseudocontractive operators in Hilbert spaces, we establish results for Krasnoselskij type fixed point iterativeschemes. Our theorems complement, generalize and unify some existing results; see [3, 4].

AB - In the last decades, the study of convergence of fixed point iterative methods has received an increasing attention, due to their performance as tools for solving numerical problems. As a consequence of this fact, one can access to a wide literature on iterative schemes involving different types of operators; see [2, 4, 5]. We point out that fixed point iterative approximation methods have been largely applied in dealing with stability and convergence problems; see [1, 6]. In particular, we refer to various control and optimization questions arising in pure and applied sciences involving dynamical systems, where the problem in study can be easily arranged as a fixed point problem. Then, we prove some convergence theorems for a certain class of operators in real Hilbert spaces. Precisely, by using the concept of admissible perturbation of alpha-psi-pseudocontractive operators in Hilbert spaces, we establish results for Krasnoselskij type fixed point iterativeschemes. Our theorems complement, generalize and unify some existing results; see [3, 4].

UR - http://hdl.handle.net/10447/145103

UR - http://lan.unical.it/NETNA2015/

M3 - Other

SP - 104

EP - 104

ER -