Bulletin of the Australian Mathematical Society

Table of Contents - August 2009 - Volume 80, Issue 01  

Research Article

NEW COINCIDENCE POINT THEOREMS IN CONTINUOUS FUNCTION SPACES AND APPLICATIONS

JUN WUa1 c1 and YICHENG LIUa2

a1 College of Mathematics and Computer Science, Changsha University of Science Technology, Changsha, 410076, People’s Republic of China (email: junwmath@hotmail.com)

a2 Department of Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha, 410073, People’s Republic of China (email: liuyc2001@hotmail.com)

Abstract

In this paper, some new coincidence point theorems in continuous function spaces are presented. We show the hybrid mapping version and multivalued version of both Lou’s fixed point theorem (Proc. Amer. Math. Soc. 127 (1999)) and de Pascale and de Pascale’s fixed point theorem (Proc. Amer. Math. Soc. 130 (2002)). Our new results encompass a number of previously known generalizations of the theorems. Two examples are presented.

(Received April 28 2008)

2000 Mathematics subject classification

  • primary 47H10; secondary 54H25

Keywords and phrases

  • fixed point theorem;
  • multivalued mapping;
  • coincidence point

Correspondence:

c1 For correspondence; e-mail: junwmath@hotmail.com

Footnotes

The work of J. Wu has been partially supported by the Scientific Research Fund of Hunan Provincial Education Department (08C117) and the Scientific Research Fund for the Doctoral Program of CSUST (1004132).