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On Some Inequalities Involving Generalized Distance Functions

Author

Listed:
  • Mohamed Jleli

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
    These authors contributed equally to this work.)

  • Bessem Samet

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

In this paper, a new class of generalized distance functions with respect to a pair of mappings is introduced. Next, some inequalities involving such distance functions are established. Our obtained results generalize and cover some recent results from the literature. Moreover, new distance inequalities for self-crossing polygons are obtained.

Suggested Citation

  • Mohamed Jleli & Bessem Samet, 2023. "On Some Inequalities Involving Generalized Distance Functions," Mathematics, MDPI, vol. 11(5), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1157-:d:1081148
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    References listed on IDEAS

    as
    1. Muhammad Suhail Aslam & Monica Felicia Bota & Mohammad S. R. Chowdhury & Liliana Guran & Naeem Saleem, 2021. "Common Fixed Points Technique for Existence of a Solution of Urysohn Type Integral Equations System in Complex Valued b -Metric Spaces," Mathematics, MDPI, vol. 9(4), pages 1-18, February.
    2. Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "An Application of Urysohn Integral Equation via Complex Partial Metric Space," Mathematics, MDPI, vol. 10(12), pages 1-13, June.
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