Some fixed point results for multi-valued mappings in b-metric spaces

被引:38
作者
Kutbi, Marwan Amin [1 ]
Karapinar, Erdal [2 ,3 ]
Ahmad, Jamshaid [4 ]
Azam, Akbar [4 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
[3] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21413, Saudi Arabia
[4] Inst Informat Technol, Dept Math COMSATS, Islamabad 44000, Pakistan
关键词
Hausdorff metric; set-valued mapping; fixed point; b-metric space; THEOREMS; CONTRACTIONS; PRINCIPLE;
D O I
10.1186/1029-242X-2014-126
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to establish some fixed point theorems for set-valued mappings in the context of b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature. An example is also given to support our main result.
引用
收藏
页数:11
相关论文
共 24 条
[1]   A fixed point theorem for set-valued quasi-contractions in b-metric spaces [J].
Aydi, Hassen ;
Bota, Monica-Felicia ;
Karapinar, Erdal ;
Mitrovic, Slobodanka .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[2]  
Aydi H, 2012, FIXED POINT THEOR-RO, V13, P337
[3]   Multivalued fixed point theorems in cone b-metric spaces [J].
Azam, Akbar ;
Mehmood, Nayyar ;
Ahmad, Jamshaid ;
Radenovic, Stojan .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[4]  
Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[5]  
Boriceanu M., 2009, Int. J. Modern Math, V4, P285
[6]  
Boriceanu M, 2009, STUD U BABES-BOL MAT, V54, P3
[7]  
Bota M, 2011, FIXED POINT THEOR-RO, V12, P21
[8]   Ulam-Hyers Stability Results for Fixed Point Problems via α-ψ-Contractive Mapping in (b)-Metric Space [J].
Bota, Monica-Felicia ;
Karapinar, Erdal ;
Mlesnite, Oana .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[9]   A note on "Some results on multi-valued weakly Jungck mappings in b-metric space" [J].
Bota, Monica-Felicia ;
Karapinar, Erdal .
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (09) :1711-1712
[10]  
Czerwik S., 1997, J. Nature Phys. Sci., V11, P87