On Fixed Point Theorems for Multivalued Contractions

Fixexd point theory and applications

JeongSheok Ume¹  ShinMin Kang²  Zeqing Liu³  Wei Sun³ 

[1] Department of Applied Mathematics, Changwon National University, Changwon, Republic of Korea;Department of Mathematics and RINS, Gyeongsang National University, Jinju, Republic of Korea;Department of Mathematics, Liaoning Normal University, Dalian, China

关键词: Compact Subset;    Point Theorem;    Differential Geometry;    Fixed Point Theorem;    Weak Condition;   

DOI  :  10.1155/2010/870980

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Three concepts of multivalued contractions in complete metric spaces are introduced, and the conditions guaranteeing the existence of fixed points for the multivalued contractions are established. The results obtained in this paper extend genuinely a few fixed point theorems due to Ćirić (2009) Feng and Liu (2006) and Klim and Wardowski (2007). Five examples are given to explain our results.

【 授权许可】

CC BY