AN EXTENDED COUPLED COINCIDENCE POINT THEOREM AND RELATED RESULTS

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Kir M., KIZILTUNÇ H.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, cilt.34, sa.4, ss.517-525, 2016 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 34 Sayı: 4
• Basım Tarihi: 2016
• Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Academic Search Premier, Directory of Open Access Journals
• Sayfa Sayıları: ss.517-525
• Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we give an extended coupled coincidence point theorem for a mixed g -monotone mapping F: X -> X satisfying a weaker contractive condition. As a result of this theorem, we introduce an extended coupled fixed point theorem. We also explain that there exist a relationship between Theorem 2.1 which is our main theorem and Theorem 1.3 introduced by Choudhury et. al. [Choudhury, BS, Kundu, A: Appl. Math. Lett. 25,6-10(2012)].