Fixed and coupled fixed points of a new type set-valued contractive mappings in complete metric spaces

被引：0
作者：
A Amini-Harandi
机构：
[1] University of Shahrekord,Department of Pure Mathematics
[2] Institute for Research in Fundamental Sciences (IPM),School of Mathematics
来源：
Fixed Point Theory and Applications | / 2012卷
关键词：
fixed point; coupled fixed point; set-valued contractions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, motivated by the recent work of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), we introduce a new concept of set-valued contraction and prove a fixed point theorem which generalizes some well-known results in the literature. As an application, we derive a new coupled fixed point theorem. Some examples are also given to support our main results.
引用
收藏
相关论文
共 37 条
[1]  
Banach S(1922)Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales Fundam. Math 3 133-181
[2]  
Boyd DW(1969)On nonlinear contractions Proc. Am. Math. Soc 20 458-464
[3]  
Wong JSW(1962)A note on contractive mappings Proc. Am. Math. Soc 13 459-465
[4]  
Rakotch E(1973)On contractive mappings Proc. Am. Math. Soc 40 604-608
[5]  
Geraghty G(2011)Boyd-Wong-type common fixed point results in cone metric spaces Appl. Math. Comput 217 7167-7171
[6]  
Arandjelovic I(2007)Cone metric spaces and fixed point theorems of contractive maps J. Math. Anal. Appl 332 1467-1475
[7]  
Kadelburg Z(2009)Remarks on ‘Quasi-contraction on a cone metric space’ Appl. Math. Lett 22 1674-1679
[8]  
Radenovic S(1974)An approach to fixed-point theorems on uniform spaces Trans. Am. Math. Soc 191 209-225
[9]  
Huang LG(1969)Multi-valued contraction mappings Pac. J. Math 30 475-488
[10]  
Zhang X(2009)Multi-valued nonlinear contraction mappings Nonlinear Anal 71 2716-2723
1234