COMMON FIXED POINTS OF A WEAK-COMPATIBLE PAIR OF A SINGLE VALUED AND A MULTIVALUED MAPS IN D-METRIC SPACES

• 발행기관: 충청수학회
• 저자명: Bijendra Singh Shobha Jain
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 18, No. 1, 1~15쪽, 전체 15쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2005.04.30

영문 초록

The object of this paper is to prove two unique common fixed point theorems for a pair of a set-valued map and a self map satisfying a general contractive condition using orbital concept and weak-compatibility of the pair. One of these results generalizes substantially, the result of Dhage, Jennifer and Kang [4]. Simultaneously, its implications for two maps and one map improves and generalizes the results of Dhage [3], and Rhoades [11]. All the results of this paper are new.

목차

1. Introduction

2. Preliminaries

3. Main results