IJPAM: Volume 17, No. 2 (2004)

ON GENERAL PRINCIPLES OF ISHIKAWA
ITERATIVE SCHEME WITH ERRORS OF
MULTI-VALUED MAPPINGS IN NORMED
LINEAR 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@dl.cn
$^2$Department of Mathematics
Research Institute of Natural Sciences
Gyeongsang National University
Chinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr


Abstract.In this paper we establish a few generic theorems of the Ishikawa iterative scheme with errors for a pair of multi-valued mappings in normed linear spaces. The results presented in this paper generalize the corresponding results due to Beg-Azam, Guay-Singh, Hu-Huang-Rhoades, Liu-Kang-Ume and Rashwan-Saddeek.

Received: October 12, 2004

AMS Subject Classification: 54H25

Key Words and Phrases: Ishikawa iterative scheme with errors, multi-valued mappings, common fixed point, normed linear space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 17
Issue: 2