FIXED POINT THEOREMS FOR SET{VALUED MAPS IN QUASI{METRIC SPACES

• 발행기관: 충청수학회
• 저자명: Seong Hoon Cho
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 599~608쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 초록

In this paper, we introduce the concept of generalized weak contractivity for set-valued maps de¯ned on quasi metric spaces. We analyze the existence of ¯xed points for generalized weakly contractive set-valued maps. And we have Nadler s ¯xed point theorem and Banach s ¯xed point theorem in quasi metric spaces. We investigate the convergene of iterate schem of the form xn+1 2 Fxn with error estimates.

목차

1. Introduction and Preliminaries

2. Fixed point theorems

References