Nonlinear Functional Analysis and Applications

  • 제29권3호
  • /
  • Pages.885-897
  • /
  • 2024
  • /
  • 1229-1595(pISSN)
  • /
  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
권호 표지
DOI QR코드

DOI QR Code

SOME FIXED POINT THEOREMS IN A GENERALIZED b2-METRIC SPACE OF (𝜓, 𝜑)-WEAKLY CONTRACTIVE MAPPINGS

  • Pravin Singh (University of KwaZulu-Natal) ;
  • Shivani Singh (University of South Africa, Department of Decision Sciences) ;
  • Virath Singh (University of KwaZulu-Natal)
  • 투고 : 2023.12.05
  • 심사 : 2024.03.14
  • 발행 : 2024.09.15
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The purpose of this paper is to introduce a class of distance altering functions that establish the existence and uniqueness of fixed points of 𝜈-admissible mappings that are subject to a generalized (𝜓, 𝜑)-almost weakly contraction on a generalized b2-metric space.

키워드

참고문헌

  1. K. H. Alam, Y. Rohen, S. S. Singh, K. M. Devi and L. Bishwakumar, New best proximity point results for different types of nonself proximal contractions with an application, Nonlinear Funct. Anal. Appl., 29 (2) ( 2024), 581-596.
  2. T.V. An, N.V. Dung and V.T. Le Hang, General Fixed Point Theorems on Metric Spaces and 2-metric Spaces, Filomat, 28(10) (2014), 2037-2045.
  3. N.V. Dung, N.T. Hieu, N.T.T. Ly and V.D. Thinh, Remarks on the fixed point problem of 2-metric spaces, Fixed Point Theory Appl., 2013(167) (2013), 1-6.
  4. V.S. Gahler, 2-metrische Raume und ihre topogische Struktur, Math. Nachr., 26 (1963), 115-118.
  5. M.S. Khan, M. Swaleh and S. Sessa, Fixed point theorems by altering distances between the points, Bull. Austral. Math. Soc., 30 (1984), 1-9.
  6. Z. Mustafa, V. Parvaneh, J.R. Roshan and Z. Kadelburg, b2-Metric spaces and some fixed point theorems, Fixed Point Theory Appl., 2014(144) (2014), 1-23.
  7. J.R. Roshan, V. Parvanesh, S. Sedghi, N Shobkolaei and W. Shatanawi, Common fixed points of almost generalized (𝜓, 𝜑)s-constractiove mappings in ordered b-metric spaces, Fixed point theory Appl., 159 (2013).
  8. R.J. Shahkoohi and Z. Bagheri, Rational Geraghty Contractive Mappings and Fixed Point Theorems in Ordered b2-metric Spaces, Sahand Commu. Math. Anal., 13(1) (2019), 179-212.
  9. P. Singh, S. Singh and V. Singh, The Reich type contraction in a weighted b𝜈(α)-metric space, Nonlinear Funct. Anal. Appl., 28 (4 ) ( 2023), 1087-1095.
  10. P. Singh, V. Singh and S. Singh, Some fixed points results using (𝜓, 𝜑)- generalized weakly contractive map in a generalized 2-metric space, Adv. Fixed Point Theory, 13(21) (2023), 1-11.
  11. F. Zhang, H. Wang, S. Wu and L. Zhao, Fixed-Point Theorems for α-Admissible Mappings with 𝜔-Distance and Applications to Nonlinear Integral Equations, Hindawi Math. Prob. Eng., 2020 (2020), 7 pages, Article ID 2804802.