New Multi-valued Contractions with Applications in Dynamic Programming

  • M.S. Shagari Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
  • I.F. Usamot Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria.
  • Y. Sirajo School of Arts and Sciences, American University of Nigeria, Yola, Adamawa State, Nigeria
  • I. A. Fulatan Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
DOI: https://doi.org/10.6084/m9.figshare.13959110

Abstract

In this paper, two well-celebrated results in metric fixed point theory due to Jaggi and Dass-
Gupta are revisited. To this end, the concepts of Jaggi and Dass-Gupta type bilateral multivalued
contractions are introduced and suitable conditions for existence of fixed points for
such mappings are established. A nontrivial example is provided to support the hypotheses
of our main results. Moreover, a few consequences which dwell upon the generality of the
ideas presented herein are pointed out and discussed. Finally, one of our theorems is applied
to investigate sufficient conditions for existence of solutions of nonlinear functional equations
arising in dynamic programming and in optimization theory.

Published
2021-02-16
How to Cite
Shagari, M., Usamot, I., Sirajo, Y., & Fulatan, I. A. (2021). New Multi-valued Contractions with Applications in Dynamic Programming. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 6(2), 925 - 939. https://doi.org/10.6084/m9.figshare.13959110
Issue
Vol 6 No 2 (2020)
Section
Articles

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