On almost contractions in partially ordered metric spaces via implicit relations

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Atıf İçin Kopyala

GÜL U., Karapinar E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2012
• Doi Numarası: 10.1186/1029-242x-2012-217
• Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we prove general fixed point theorems for self-maps of a partially ordered complete metric space which satisfy an implicit type relation. Our method relies on constructive arguments involving Picard type iteration processes and our uniqueness result uses comparability arguments. Our results generalize a multitude of fixed point theorems in the literature to the context of partially ordered metric spaces.