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α H - ψ H -Multivalued Contractive Mappings and Related Results in Complete Metric Spaces with an Application

Author

Listed:
  • Pooja Dhawan

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

  • Kapil Jain

    (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 article, the notion of α H - ψ H -multivalued contractive type mappings is introduced and some fixed point results in complete metric spaces are studied. These theorems generalize Nadler’s (Multivalued contraction mappings, Pac. J. Math., 30, 475–488, 1969) and Suzuki-Kikkawa’s (Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal., 69, 2942–2949, 2008) results that exist in the literature. The effectiveness of the obtained results has been verified with the help of some comparative examples. Moreover, a homotopy result has been presented as an application.

Suggested Citation

  • Pooja Dhawan & Kapil Jain & Jatinderdeep Kaur, 2019. "α H - ψ H -Multivalued Contractive Mappings and Related Results in Complete Metric Spaces with an Application," Mathematics, MDPI, vol. 7(1), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:68-:d:196262
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