IJPAM: Volume 35, No. 3 (2007)


Ljubomir B. Ciric$^1$, Jeong Sheok Ume$^2$
$^1$Faculty of Mechanical Engineering
University of Belgrade
Al. Rudara 12-35, Belgrade, 11 070, SERBIA
e-mail: lciric@afrodita.rcub.bg.ac.yu
$^2$Department of Applied Mathematics
Changwon National University
#9 Sarim-dong, Gyeong-Nam, Changwon, 641-773, KOREA
e-mail: jsume@changwon.ac.kr

Abstract.In this paper a class of nonexpansive type multi-valued mappings from a metric space $X$ into a class of nonempty closed and bounded subsets of $X$, which satisfy the condition (3) or (16) below are introduced and investigated. For such class of mappings coincidence and fixed point theorems are obtained. These results generalize and extend corresponding results for single-valued mappings of Bogin, Ciric and Rhoades.

Received: January 15, 2007

AMS Subject Classification: 54C60, 54H25, 47H10

Key Words and Phrases: coincidence point, fixed point, nonexpansive type map, multi-valued map

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 3