IJPAM: Volume 31, No. 1 (2006)

FIXED POINT THEOREMS AND STABILITY FOR
SEVERAL CLASSES OF MULTI-VALUED MAPPINGS

Zeqing Liu$^1$, Zhengsheng Chen$^2$,
Shin Min Kang$^3$Department of Mathematics; Gyeongsang National University; Jinju, 660-701, KOREA, Hyung Gook Kim$^4$
$^{1,2}$Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
$^1$e-mail: zeqingliu@dl.cn
$^2$e-mail: ZhengshengChen@126.com
$^{3,4}$Department of Mathematics
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr
$^3$Research Institute of Natural Science
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: math@nongae.gsnu.ac.kr


Abstract.In this paper several fixed point theorems and a stability theorem for some new classes of multi-valued contractive type and nonlinear mappings are given. The results presented in this paper improve and generalize some results in literatures.

Received: July 20, 2006

AMS Subject Classification: 54H25

Key Words and Phrases: multi-valued contractive type mapping, multi-valued nonlinear mapping, fixed point, stability

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 1