MODULAR A-METRIC SPACES

Aydin E., Kütükcü S.

JOURNAL OF SCIENCE AND ARTS, no.3, pp.423-432, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.423-432
  • Keywords: Modular Metric, Modular A-metric, Fixed Point, Contraction Theorem
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this article, we introduce modular A-metric spaces. Also, we give topology induced by this metric and some results obtained from this. As an application, we prove the uniqueness and existence of fixed point of Banach contraction mapping in modular A-metric spaces.