Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications

被引:0
|
作者
Alamri, Badriah [1 ]
机构
[1] Univ Jeddah, Coll Sci, Dept Math & Stat, Jeddah 23218, Saudi Arabia
关键词
common fixed point; bicomplex valued metric space; generalized contractive condition; Volterra integral equation; RATIONAL CONTRACTIONS; MAPPINGS;
D O I
10.3390/math12111770
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper investigates the existence of common fixed points for mappings satisfying generalized rational type contractive conditions in the framework of bicomplex valued metric spaces. Our findings extend well-established results in the existing literature. As an application of our leading result, we explore the existence and uniqueness of solutions of the Volttera integral equation of the second kind.
引用
收藏
页数:20
相关论文
共 50 条
  • [41] New common fixed point theorems for maps on cone metric spaces
    Song, Guangxing
    Sun, Xiaoyan
    Zhao, Yian
    Wang, Guotao
    APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1033 - 1037
  • [42] Some new common fixed point theorems in fuzzy metric spaces
    Gopal D.
    Imdad M.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2011, 57 (2) : 303 - 316
  • [43] ON THE TRIANGULAR CONDITION IN PROBABILISTIC METRIC SPACES AND RELATED RESULTS IN FIXED POINT THEORY
    Su, Yongfu
    Gao, Wenbiao
    Petrusel, G.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (09) : 1813 - 1830
  • [44] New Proofs of Fixed Point Theorems on Quasi-Metric Spaces
    Park, Sehie
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [45] Generalized common fixed point theorems in complex valued metric spaces and applications
    Sintunavarat, Wutiphol
    Kumam, Poom
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [46] Fixed point results in b-metric spaces with applications to integral equations
    Alamri, Badriah
    Ahmad, Jamshaid
    AIMS MATHEMATICS, 2023, 8 (04): : 9443 - 9460
  • [47] A Generalized Fixed Point Theorem in Fuzzy b-Metric Spaces and Applications
    Dahhouch, Mohamed
    Makran, Noreddine
    Marzouki, Brahim
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42 : 13 - 13
  • [48] Some common fixed point theorems in generalized modular metric spaces with applications
    Okeke, Godwin Amechi
    Francis, Daniel
    SCIENTIFIC AFRICAN, 2024, 23
  • [49] On Fixed Point Theory for Generalized Contractions in Cone Metric Spaces Via Scalarizing
    Zangenehmehr, Parastoo
    Farajzadesh, Ali
    Vaezpour, Sayed Mansour
    CHIANG MAI JOURNAL OF SCIENCE, 2015, 42 (04): : 1038 - 1043
  • [50] FIXED POINT THEOREMS IN SEMI-PARTIALLY ORDERED METRIC SPACES AND APPLICATIONS
    Su, Yongfu
    Oprea, Anca Maria
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (06) : 1191 - 1206