Cyclic Generalized φ-contractions in b-metric Spaces and an Application to Integral Equations

被引：26
|
作者：
Nashine, Hemant Kumar [1 ]
Kadelburg, Zoran [2 ]
机构：
[1] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India
[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia
来源：
FILOMAT | 2014年 / 28卷 / 10期
关键词：
b-metric space; cyclic map; fixed point; control function; FIXED-POINT THEOREMS; MAPPINGS;
D O I：
10.2298/FIL1410047N
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of cyclic generalized phi-contractive mappings in b-metric spaces and discuss the existence and uniqueness of fixed points for such mappings. Our results generalize many existing fixed point theorems in the literature. Examples are given to support the usability of our results. Finally, an application to existence problem for an integral equation is presented.
引用
收藏
页码：2047 / 2057
页数：11
相关论文
共 50 条
  • [31] FIXED POINTS OF CONTRACTIONS AND CYCLIC CONTRACTIONS ON C*-ALGEBRA-VALUED b-METRIC SPACES
    Kadelburg, Zoran
    Nastasi, Antonella
    Radenovic, Stojan
    Vetro, Pasquale
    ADVANCES IN OPERATOR THEORY, 2016, 1 (01): : 92 - 103
  • [32] FIXED POINT THEOREMS FOR MULTIVALUED WORDOWSKI TYPE CONTRACTIONS IN B-METRIC SPACES WITH AN APPLICATION TO INTEGRAL INCLUSIONS
    Kaddouri, Heddi
    Beloul, Said
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (04): : 1061 - 1071
  • [33] FIXED POINT THEOREMS FOR CIRIC'S AND GENERALIZED CONTRACTIONS IN b-METRIC SPACES
    Sarwar, Muhammad
    Rahman, Mujeeb Ur
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 70 - 78
  • [34] 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)
  • [35] DISCUSSION OF HYBRID JS']JS-CONTRACTIONS IN b-METRIC SPACES WITH APPLICATIONS TO THE EXISTENCE OF SOLUTIONS FOR INTEGRAL EQUATIONS
    Yamaod, Oratai
    Sintunavarat, Wutiphol
    FIXED POINT THEORY, 2021, 22 (02): : 899 - 912
  • [36] On generalized convex contractions of type-2 in b-metric and 2-metric spaces
    Khan, M. S.
    Singh, Y. Mahendra
    Maniu, Georgeta
    Postolache, Mihai
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 2902 - 2913
  • [37] Coincidence point results via generalized (ψ, φ)-weak contractions in partial ordered b-metric spaces with application
    Sarwar, Muhammad
    Jamal, Noor
    Li, Yongjin
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3719 - 3731
  • [38] Nonlinear integral equations with new admissibility types in b-metric spaces
    Wutiphol Sintunavarat
    Journal of Fixed Point Theory and Applications, 2016, 18 : 397 - 416
  • [39] Fixed point results in b-metric spaces with applications to integral equations
    Alamri, Badriah
    Ahmad, Jamshaid
    AIMS MATHEMATICS, 2023, 8 (04): : 9443 - 9460
  • [40] Nonlinear integral equations with new admissibility types in b-metric spaces
    Sintunavarat, Wutiphol
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (02) : 397 - 416
12345