IJPAM: Volume 12, No. 2 (2004)

ITERATIVE PROCESS WITH ERRORS FOR
NONLINEAR EQUATIONS OF LOCAL
$\phi$-STRONGLY ACCRETIVE OPERATORS
IN ARBITRARY BANACH SPACES

Zeqing Liu$^1$, Shin Min Kang$^2$
$^1$Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning 116029, P.R. CHINA
e-mail: zeqingliu@sina.com.cn
$^2$Department of Mathematics
Gyeongsang National University
Chinju 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr


Abstract.Some new results on convergence of the Ishikawa iterative process with errors for local $\phi$-strongly accretive and local $\phi$-strictly pseudocontractive operators are obtained. Our results extend, improve and unify a host of recent results.

Received: February 18, 2004

AMS Subject Classification: 47H05, 47H06, 47H14

Key Words and Phrases: local $\phi$-strongly accretive operators, local $\phi$-strictly pseudocontractive operators, $\phi$-strongly accretive operators, $\phi$-strictly pseudocontractive operators, Ishikawa iterative process with errors, fixed points, Banach spaces

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 12
Issue: 2