LOCALLY AND WEAKLY CONTRACTIVE PRINCIPLE IN BIPOLAR METRIC SPACES

MUTLU A., ÖZKAN K., Gürdal U.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, vol.10, no.2, pp.379-388, 2020 (ESCI, Scopus, TRDizin) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 2
  • Publication Date: 2020
  • Journal Name: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.379-388
  • Keywords: bipolar metric space, epsilon-chainable, (epsilon, lambda)-uniformly locally contractive, weakly contractive, fixed point
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this article, we introduce concepts of (epsilon, lambda)-uniformly locally contractive and weakly contractive mappings, which are generalizations of Banach contraction mapping, in bipolar metric spaces. Also, we express the results showing the existence and uniqueness of fixed point for these mappings.