Fixed point results for multivalued contractive maps

Fixexd point theory and applications

B A Bin Dehaish¹  Abdul Latif² 

[1] Department of Mathematics, Faculty of Science For Girls, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: metric space;    u-distance;    contractive map;    fixed point;   

DOI  :  10.1186/1687-1812-2012-61

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the concept of u-distance, we prove a fixed point theorem for multivalued contractive maps. We also establish a multivalued version of the Caristi's fixed point theorem and common fixed point result. Consequently, several known fixed point results are either improved or generalized including the corresponding fixed point results of Caristi, Mizoguchi-Takahashi, Kada et al., Suzuki-Takahashi, Suzuki, and Ume. Mathematics Subject Classification (2000): 47H10; 54H25.

【 授权许可】

CC BY