Fixed points of multivalued nonlinear F-contractions on complete metric spaces

被引:27
作者
Altun, Ishak [1 ]
Minak, Gulhan [1 ]
Olgun, Murat [2 ]
机构
[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
[2] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
来源
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2016年 / 21卷 / 02期
关键词
fixed point; multivalued maps; nonlinear F-contraction; complete metric space; THEOREMS; MAPPINGS;
D O I
10.15388/NA.2016.2.4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski.
引用
收藏
页码:201 / 210
页数:10
相关论文
共 18 条
[1]  
Agarwal RP, 2009, TOPOL FIXED POINT TH, V6, P1, DOI 10.1007/978-0-387-75818-3_1
[2]  
Altun I., 2015, FILOMAT IN PRESS
[3]  
Altun I, 2015, J NONLINEAR CONVEX A, V16, P659
[4]   On a general class of multi-valued weakly Picard mappings [J].
Berinde, Madalina ;
Berinde, Vasile .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) :772-782
[5]  
Berinde V., 2013, Creat. Math. Inform., V22, P35
[6]   Multi-valued nonlinear contraction mappings [J].
Ciric, Ljubomir .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :2716-2723
[7]   FIXED-POINTS OF GENERALIZED CONTRACTIVE MULTIVALUED MAPPINGS [J].
DAFFER, PZ ;
KANEKO, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 192 (02) :655-666
[8]   Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings [J].
Feng, YQ ;
Liu, SY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) :103-112
[9]  
Istratescu V. I., 1981, FIXED POINT THEORY I
[10]   Fixed point theorems for multi-valued mappings obtained by altering distances [J].
Kamran, Tayyab ;
Kiran, Quanita .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) :2772-2777