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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2016 / Cilt: 34 - Sayı: 4

AN EXTENDED COUPLED COINCIDENCE POINT THEOREM AND RELATED RESULTS

Mehmet KIR
Hukmi KIZILTUNÇ
Pages
517–525
Publication Date
2016-12-01
DOI
—
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Lett. 25,6-10(2012) ].

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:Lett. 25,6-10(2012) ].
🔬Design:Research Article
📍Scope:2012 Verileri
⚙️Variables:Fixed point · coupled coincidence point · coupled fixed point

Abstract

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) ].

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Cite This Article

KIR, M., KIZILTUNÇ, H. (2016). AN EXTENDED COUPLED COINCIDENCE POINT THEOREM AND RELATED RESULTS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 34 - Sayı: 4, 517–525. https://ajindex.com/articles/419265

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References (13)

  1. Freiwald R. C., “An introduction to set theory and topology”, Washington University in St. Louis. 2014. 449 pages
  2. Ran ACM, Reurings MCB “A fixed point theorem in partially ordered sets and some applications to matrix equations”, Proc. Am.Math. Soc. 132, 1435-1443, 2004
  3. Nieto JJ, Rodríguez-López R “Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations”, Order 22, 223-239, 2005. [4] Ćirić Lj Cakić, N Rajović, Ume J.S. ”Monotone generalized nonlinear contractions in partially ordered metric spaces”, Fixed Point Theory Appl, Article ID 131294, 2008
  4. Choudhury B.S, Kundu A. “(ψ,α,β)-weak contractions in partially ordered metric spaces”, Appl Math Lett, 25, 6—10, 2012
  5. Harjani J., Sadarangani K. “Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations”, Nonlinear Anal. 72(2010), 1188-1197, 2010
  6. Harandi A.A., Emami H. “A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations”, Nonlinear Anal. 72(2010), 2238-2242, 2010
  7. Bhaskar T.G., Lakshmikantham V. “Fixed point theorems in partially ordered metric spaces and applications”, Nonlinear Anal. 65(2006), 1379-1393, 2006
  8. Lakshmikantham V., Ćirić Lj Cakić, “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces”, Nonlinear Anal. 70(2009), 4341—4349, 2009
  9. Luong N.V., Thuan N.X., “Coupled fixed points in partially ordered metric spaces and application”, Nonlinear Anal. 74(2011), 983—992, 2011
  10. Berinde, V., “Coupled fixed point theorems for ϕ-contractive mixed monotone mappings in partially ordered metric spaces”, Nonlinear Analysis 75 (2012) 3218—3228, 2012
  11. Cho YJ., Rhoades B.E., Saadati R., Samet B., Shantawi W., “Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type”, Fixed Point Theory Appl, 8 (2012), 2012
  12. Cho, Y.J., He G., Huang N.J., “The existence results of coupled quasi-solutions for a class of operator equations”, Bull.Korean Math. Soc. 47, 455-465, 2010
  13. Abbas, M, Sintunavarat, W, Kumam, P: Coupled fixed point in partially ordered G-metric spaces. Fixed Point Theory Appl. 2012, 31 (2012).