Fixed point theorems for generalized contractions on GP-metric spaces


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Bilgili N., KARAPINAR E., Salimi P.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-39
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Keywords: fixed point, partial metric space, GP-metric space

Abstract

In this paper, we present two fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous functions. Furthermore, we illustrate applications of our theorems with a number of examples. Inspired by the work of Jachymski, we also establish equivalences of certain auxiliary maps in the context of GP-complete GP-metric spaces.