International Journal of Applied Mathematical Sciences

  • Year: 2006
  • Volume: 3
  • Issue: 1

Common Stationary Point Theorems for a Pair of MultiValued Mappings Involving Caristi and Contractive Type Conditions

  • Author:
  • Zeqing Liu1, Zhengsheng Chen1, Shin Min Kang2,, Hyung Gook Kim3
  • Total Page Count: 13
  • DOI:
  • Page Number: 69 to 81

1Department of Mathematics, Liaoning Normal University, P. O. Box 200, Dalian, Liaoning 116029, People's Republic of China. Email: zeqingliu@dl.cn, zhengshengchen@126.com

2Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 660701, Korea. Email: smkang@nongae.gsnu.ac.kr

3Department of Mathematics, Gyeongsang National University, Jinju 660701, Korea. Email: emath@nongae.gsnu.ac.kr

Abstract

In this paper, some common stationary point theorems for a pair of multivalued mappings dealing with combinations of Caristi and contractive type conditions are given. A few stationary point theorems for three classes of multivalued mappings are established. The results presented in this paper extend, improve and unify some results in the literatures.

Keywords

Multivalued mappings, Caristi's fixed point theorem, Contractive type mapping, Stationary point, Common stationary point