ON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS OF FENG-LIU TYPE

被引:15
作者
Altun, Ishak [1 ]
Minak, Guelhan [1 ]
机构
[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
关键词
fixed point; multivalued mappings; theta-contraction; complete metric space;
D O I
10.4134/BKMS.2015.52.6.1901
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, considering the Jleli and Samet's technique we give many fixed point results for multivalued mappings on complete metric spaces without using the Pompeiu-Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu's result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.
引用
收藏
页码:1901 / 1910
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, J NONLINEAR CONVEX A, V16, P659
[3]   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
[4]  
Berinde V., 2013, CREATIVE MATH INFORM, V22, P35
[5]  
Ciric LB, 2002, PUBL MATH-DEBRECEN, V60, P359
[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
[10]  
Jleli M., 2014, J INEQUAL APPL, V2014, P439