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Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces

Author

Listed:
  • Nozara Sundus

    (Department of Mathematics and Statistics, Auburn University, Auburn, AI 36849, USA
    Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, Pakistan)

  • Basit Ali

    (Department of Mathematics, School of Science, University of Management and Technology, C-II Johar Town, Lahore 54770, Pakistan)

  • Maggie Aphane

    (Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Molotlegi Street, Garankuwa P.O. Box 107, Medunsa, Pretoria 0204, South Africa)

Abstract

We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions. Examples are provided to justify the applicability of new results.

Suggested Citation

  • Nozara Sundus & Basit Ali & Maggie Aphane, 2024. "Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces," Mathematics, MDPI, vol. 12(11), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1628-:d:1399793
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