Fixed Point Results for Generalized Contraction with Application of Biomedical Sciences

Authors

  • Khaleel Ahmad Department of Mathematics and statistics, International Islamic University Islamabad, Pakistan
  • Umar Ishtiaq Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, Pakistan
  • Farhan Ali Department of Mathematics COMSATS University Islamabad Sahiwal Campus, Pakistan
  • Usman Ali Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Pakistan

DOI:

https://doi.org/10.54938/ijemdbmcr.2023.01.1.157

Keywords:

Common fixed point theorems, Orthogonal metric spaces (OMS), Orthogonal Θ-contraction, Orthogonal Θ_g-weak contraction, Orthogonal Ψ_g-weak JS-contraction

Abstract

In this article, we find the fixed point, fixed ellipse, and fixed elliptic disc theorems, we introduce the concepts of an orthogonal -contraction, an orthogonal -weak contraction, an orthogonal -weak JS-contraction, an integral-type orthogonal -weak contraction, and an integral-type orthogonal -weak JS-contraction. To further prove the validity of the postulates, we validate these using illustrated cases with geometric meanings. The reason for this work is the possibility of a geometric shape like a circle, ellipse, disc, or elliptic disc being among the set of non-unique fixed points. We provide an orthogonal -contraction application to chemical sciences.

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Published

2023-06-17

How to Cite

Ahmad, K. ., Umar Ishtiaq, Ali, F. ., & Ali, U. (2023). Fixed Point Results for Generalized Contraction with Application of Biomedical Sciences . International Journal of Emerging Multidisciplinaries: Biomedical and Clinical Research, 1(1). https://doi.org/10.54938/ijemdbmcr.2023.01.1.157

Issue

Vol. 1 No. 1 (2023)

Section

Research Articles