FIXED POINT THEORY FOR QUASI-CONTRACTION MAPS IN b-METRIC SPACES

被引：0
|
作者：
Amini-Harandi, A. [1 ,2 ]
机构：
[1] Univ Isfahan, Dept Math, Esfahan 81745163, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
来源：
FIXED POINT THEORY | 2014年 / 15卷 / 02期
关键词：
b-metric spaces; fixed points; quasi contraction maps; Fatou property;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first give a new fixed point theorem for quasi-contraction maps in b-metric spaces which gives a partial answer to a question raised in [S. L. Singh, S. Czerwik, K. Krol, A. Singh, Coincidences and fixed points of hybrid contractions, Tamsui Oxf. J. Math. Sci., 24 (2008), 401-416]. Then we derive some fixed point results for contractive type maps. An example is also given to support our main result. Our results extend and improve some fixed point theorems in the literature.
引用
收藏
页码：351 / 358
页数：8
相关论文
共 50 条
  • [1] Fixed point theory for generalized Ćirić quasi-contraction maps in metric spaces
    F Kiany
    A Amini-Harandi
    Fixed Point Theory and Applications, 2013
  • [2] Fixed point theory for generalized Ciric quasi-contraction maps in metric spaces
    Kiany, F.
    Amini-Harandi, A.
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [3] Fixed point theory for set-valued quasi-contraction maps in metric spaces
    Amini-Harandi, A.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1791 - 1794
  • [4] A GENERALIZATION OF FIXED POINT THEOREMS ABOUT F-CONTRACTION IN PARTICULAR S-METRIC SPACES AND CHARACTERIZATION OF QUASI-CONTRACTION MAPS IN b-METRIC SPACES
    Ranjbar, Ghorban Khalilzadeh
    Samei, Mohammad Esmael
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (02): : 51 - 64
  • [5] A generalization of fixed point theorems about f-contraction in particular s-metric spaces and characterization of quasi-contraction maps in b-metric spaces
    Ranjbar, Ghorban Khalilzadeh
    Samei, Mohammad Esmael
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2019, 81 (02): : 51 - 64
  • [6] Fixed Point Theory for Generalized Quasi-contraction Maps
    Rahimpoor, Hossein
    Ebadian, Ali
    Gordji, Madjid Eshaghi
    Zohri, Ali
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 10 (01): : 54 - 60
  • [7] A Common Fixed Point for a Family of Compatible Maps Involving a Quasi-contraction on Cone Metric Spaces
    Aydi, Hassen
    THAI JOURNAL OF MATHEMATICS, 2013, 11 (01): : 157 - 171
  • [8] Fixed Point of Almost Contraction in b-Metric Spaces
    Iqbal, Maryam
    Batool, Afshan
    Ege, Ozgur
    Sen, Manuel de la
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [9] Fixed point theorems for generalized (α, ψ)-contraction mappings in rectangular quasi b-metric spaces
    Abagaro, Bontu Nasir
    Tola, Kidane Koyas
    Mamud, Mustefa Abduletif
    FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2022, 2022 (01):
  • [10] On fixed point of a Ljubomir Ciric quasi-contraction mapping in generalized metric spaces
    Kikina, Luljeta
    Kikina, Kristaq
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 83 (03): : 353 - 358
12345