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Sehgal Type Contractions on Dislocated Spaces

Author

Listed:
  • Badr Alqahtani

    (Department of Mathematics, King Saud University, 11451 Riyadh, Saudi Arabia)

  • Andreea Fulga

    (Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500091 Brasov, Romania)

  • Erdal Karapınar

    (Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

  • Panda Sumati Kumari

    (Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Rajam-532127, India)

Abstract

In this paper, we investigate the contractive type inequalities for the iteration of the mapping at a given point in the setting of dislocated metric space. We consider an example to illustrate the validity of the given result. Further, as an application, we propose a solution for a boundary value problem of the second order differential equation.

Suggested Citation

  • Badr Alqahtani & Andreea Fulga & Erdal Karapınar & Panda Sumati Kumari, 2019. "Sehgal Type Contractions on Dislocated Spaces," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:153-:d:203840
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    References listed on IDEAS

    as
    1. Saleh A. Al-Mezel & Chi-Ming Chen & Erdal Karapınar & Vladimir Rakočević, 2014. "Fixed Point Results for Various -Admissible Contractive Mappings on Metric-Like Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, May.
    2. Muhammad Usman Ali & Tayyab Kamran & Erdal Karapınar, 2014. "An Approach to Existence of Fixed Points of Generalized Contractive Multivalued Mappings of Integral Type via Admissible Mapping," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Erdal Karapınar & Ravi P. Agarwal & Seher Sultan Yeşilkaya & Chao Wang, 2022. "Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey," Mathematics, MDPI, vol. 10(17), pages 1-76, August.
    2. Panda, Sumati Kumari & Vijayakumar, Velusamy, 2023. "Results on finite time stability of various fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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