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
  • [31] Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems
    G. Kalpana
    Z. Sumaiya Tasneem
    The Journal of Analysis, 2019, 27 : 121 - 136
  • [32] Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems
    Kalpana, G.
    Tasneem, Z. Sumaiya
    JOURNAL OF ANALYSIS, 2019, 27 (01) : 121 - 136
  • [33] On some new generalizations of Nadler contraction in b-metric spaces
    Zoran, Mitrovic D.
    Parvaneh, Vahid
    Mlaiki, Nabil
    Hussain, Nawab
    Radenovic, Stojan
    COGENT MATHEMATICS & STATISTICS, 2020, 7
  • [34] Introducing Fixed-Point Theorems and Applications in Fuzzy Bipolar b-Metric Spaces with ψα- and Fη-Contractive Maps
    Alnabulsi, Salam
    Salameh, Wael Mahmoud Mohammad
    Rashid, Mohammad H. M.
    SYMMETRY-BASEL, 2024, 16 (06):
  • [35] Fuzzy fixed point theorems for multivalued fuzzy contractions in b-metric spaces
    Phiangsungnoen, Supak
    Kumam, Poom
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (01): : 55 - 63
  • [36] A FIXED POINT THEOREM FOR MAPPINGS WITH A CONTRACTIVE ITERATE IN RECTANGULAR b-METRIC SPACES
    Mitrovic, Zoran D.
    MATEMATICKI VESNIK, 2018, 70 (03): : 204 - 210
  • [37] FIXED POINT RESULTS IN B-METRIC SPACE
    Mitrovic, Zoran D.
    FIXED POINT THEORY, 2019, 20 (02): : 559 - 566
  • [38] Fixed Point for Almost Contractions in v-Generalized b-Metric Spaces
    Kadyan, Anshuka
    Rathee, Savita
    Kumar, Anil
    Rani, Asha
    Tas, Kenan
    FRACTAL AND FRACTIONAL, 2023, 7 (01)
  • [39] Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces
    Chen, Lili
    Xia, Xin
    Zhao, Yanfeng
    Liu, Xin
    FRACTAL AND FRACTIONAL, 2022, 6 (02)
  • [40] On Convex F-Contraction in b-Metric Spaces
    Huang, Huaping
    Mitrovic, Zoran D.
    Zoto, Kastriot
    Radenovic, Stojan
    AXIOMS, 2021, 10 (02)