Complex valued rectangular b-metric spaces and an application to linear equations


Ege O.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, vol.8, pp.1014-1021, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8
  • Publication Date: 2015
  • Title of Journal : JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
  • Page Numbers: pp.1014-1021
  • Keywords: Fixed point, Banach contraction principle, rectangular b-metric space, FIXED-POINT THEOREMS

Abstract

In this paper, we introduce complex valued rectangular b-metric spaces. We prove an analogue of Banach contraction principle. We also prove a different contraction principle with a new condition and a fixed point theorem in this space. Finally, we give an application of Banach contraction principle to linear equations. (C) 2015 All rights reserved.