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Some Common Fixed Point Theorems in Ordered Partial Metric Spaces via ℱ-Generalized Contractive Type Mappings

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  • Pooja Dhawan

    (Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India)

  • Jatinderdeep Kaur

    (Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India)

Abstract

In the present work, the concept of F -generalized contractive type mappings by using C -class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial metric spaces are studied. These results improve and generalize various results existing in the literature. The effectiveness of the obtained results is verified with the help of some comparative examples.

Suggested Citation

  • Pooja Dhawan & Jatinderdeep Kaur, 2019. "Some Common Fixed Point Theorems in Ordered Partial Metric Spaces via ℱ-Generalized Contractive Type Mappings," Mathematics, MDPI, vol. 7(2), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:193-:d:207003
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    References listed on IDEAS

    as
    1. B. C. Dhage & Donal O'Regan & Ravi P. Agarwal, 2003. "Common fixed point theorems for a pair of countably condensing mappings in ordered banach spaces," International Journal of Stochastic Analysis, Hindawi, vol. 16, pages 1-6, January.
    2. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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