Ordered generalized φ−contraction in ordered fuzzy metric spaces with an application in dynamic programming

Jain M., Tomar A., Joshi M., TAŞ K.

Journal of Mathematical Control Science and Applications, vol.7, no.1, pp.69-81, 2021 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2021
  • Journal Name: Journal of Mathematical Control Science and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.69-81
  • Keywords: 1, And phrases, Fuzzy metric space, φ−contractive mappings, weakly compatible mappings
  • Uşak University Affiliated: Yes

Abstract

The common fixed point for ordered generalized φ−contraction in the environment of an ordered fuzzy metric space is determined under min-imum possible conditions. A result in ordered metric space is also obtained. The work is supported with a suitable example. Further, as an application, the utility of the present work is shown by solving functional equations in dynamic programming, which are beneficial in mathematical optimization as well as computer programming.