A NEW FIXED POINT THEOREM IN MODULAR METRIC SPACES

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Mutlu A., ÖZKAN K., Gürdal U.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, cilt.16, sa.4, ss.472-483, 2018 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 16 Sayı: 4
• Basım Tarihi: 2018
• Doi Numarası: 10.28924/2291-8639-16-2018-472
• Dergi Adı: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.472-483
• Anahtar Kelimeler: modular metric space, fixed point theorem, complete modular metric
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this article, we first give a new fixed point theorem which is main theorem of our study in modular metric spaces. After that, by using this theorem, we express some interesting results. Moreover, we characterize completeness in modular metric spaces via this theorem. Finally, we use our main result to show the existence of solution for a specific problem in dynamic programming.