Fixed Point Theorems in Bicomplex Partial S Metric Spaces and Applications to Boundary Value Problems

被引:0
|
作者
Madhuri, M. [1 ]
Kameswari, M.V.R. [2 ]
机构
[1] Department of Mathematics, School of Science, GITAM Deemed to be University, Andhra Pradesh, Visakhapatnam,530045, India
[2] Department of Mathematics, School of Science, GITAM Deemed to be University, Rushikonda, Andhra Pradesh, Visakhapatnam,530045, India
关键词
Boundary value problems - Choquet integral - Hilbert spaces - Vector spaces;
D O I
暂无
中图分类号
学科分类号
摘要
In this article, we extend the concept of bicomplex partial metric space to bicomplex partial S metric spaces and apply this extension to determine fixed points for generalized contractions. Our findings extend and enhance existing results in this field. To illustrate the significance and applicability of our main result, we present several examples. Furthermore, our results are employed to explore the existence of solutions for two-point boundary value problems. © (2024), (International Association of Engineers). All Rights Reserved.
引用
收藏
页码:2824 / 2831
相关论文
共 50 条
  • [1] FIXED POINT THEOREMS IN ORDERED METRIC SPACES AND APPLICATIONS TO NONLINEAR BOUNDARY VALUE PROBLEMS
    Watanabe, Toshikazu
    FIXED POINT THEORY, 2019, 20 (01): : 349 - 364
  • [2] Fixed Point Theorems in Relational Metric Spaces with an Application to Boundary Value Problems
    Prasad, Gopi
    Khantwal, Deepak
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021, 34 (01): : 83 - 93
  • [3] Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems
    Nazam, Muhammad
    Hamid, Zahida
    Al Sulami, Hamed
    Hussain, Aftab
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [4] Partial bv(s)-metric spaces and fixed point theorems
    Abdullahi, Muhammad Sirajo
    Kumam, Poom
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
  • [5] Some fixed point theorems in ordered partial metric spaces with applications
    Eke, Kanayo Stella
    Oghonyon, Jimevwo Godwin
    COGENT MATHEMATICS & STATISTICS, 2018, 5 (01):
  • [6] Some New Fixed Point Theorems in Partial Metric Spaces with Applications
    Pant, Rajendra
    Shukla, Rahul
    Nashine, H. K.
    Panicker, R.
    JOURNAL OF FUNCTION SPACES, 2017, 2017
  • [7] Fixed point theorems for operators on partial metric spaces
    Karapinar, Erdal
    Erhan, Inci M.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1894 - 1899
  • [8] Certain fixed point theorems on partial metric spaces
    Semwal, Pushpendra
    Gairola, Asha Ram
    Mishra, Lakshmi Narayan
    Mishra, Vishnu Narayan
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 1104 - 1118
  • [9] SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES
    Gangopadhyay, Mukti
    Saha, Mantu
    Baisnab, A. P.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2013, 3 (02): : 206 - 213
  • [10] FIXED POINT THEOREMS OF FUZZY PARTIAL METRIC SPACES
    Tehlan, Aanchal
    Kumar, Vijay
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (03): : 888 - 894