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 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2013
• Doi Numarası: 10.1186/1029-242x-2013-39
• Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Anahtar Kelimeler: fixed point, partial metric space, GP-metric space
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Gazi Üniversitesi Adresli: Evet

Özet

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.