SavedAdd your journal

Journals / İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi / 2016 / Cilt: 15 - Sayı: 30

Some Common Fixed Point Results For Contractive Mappings In Ordered Gp-Metric Spaces

Kısmi Sıralı Gp Metrik Uzaylarda Daralma Dönüşümleri İçin Bazı Ortak Sabit Nokta Sonuçları

Meltem KAYA
Hasan FURKAN
Pages
1–34
Publication Date
2016-12-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The theorems obtained generalize some fixed point results existing in the literatüre.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this present article, the sufficient conditions for the existence and uniqueness of fixed points and common fixed points of single and double mappings satisfying various contractive conditions within the partially ordered Gp -complete Gp -metric spaces have been obtained.
📊
Key Findings & Data:Also, some examples supporting the results obtained have been given.
💡
Conclusion & Impact:The theorems obtained generalize some fixed point results existing in the literatüre.
🔬Design:Review & Systematic Survey
📍Scope:Comprehensive Sample
⚙️Variables:som

Abstract

In this present article, the sufficient conditions for the existence and uniqueness of fixed points and common fixed points of single and double mappings satisfying various contractive conditions within the partially ordered Gp -complete Gp -metric spaces have been obtained. Also, some examples supporting the results obtained have been given. The theorems obtained generalize some fixed point results existing in the literatüre.

Özet

Bu çalışmada, kısmi sıralı Gp -tam Gp -metrik uzaylarda çeşitli daralma şartlarını sağlayan tek ve çift dönüşümlerin sabit noktalarının ve ortak sabit noktalarının varlığı ve tekliği için gerekli olan şartlar elde edilmiştir. Aynı zamanda, elde edilen sonuçları destekleyen birkaç örnek verilmiştir. Elde edilen teoremler literatürde bulunan bazı sabit nokta sonuçlarını genelleştirir

Keywords
🔖

Cite This Article

KAYA, M., FURKAN, H. (2016). Some Common Fixed Point Results For Contractive Mappings In Ordered Gp-Metric Spaces. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi, Cilt: 15 - Sayı: 30, 1–34. https://ajindex.com/articles/123893

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Altun, I., Erduran, A., (2010), ``Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces’’, Fixed Point Theory Appl., 2011, 1–10.
  2. Altun, I., Sola F., Şimşek, H. (2010), ``Generalized contractions on partial metric spaces’’, Topology Appl., 157, 2778–2785.
  3. Altun, I, Şimşek, H., (2010), ``Some Fixed Point Theorems on Ordered Metric Spaces and Application’’, Fixed Point Theory and Applications, 2010, 17 pages. Aydi, H., Karapınar E., Salimi, P., (2012), ``Some fixed point results in -metric spaces’’, J. Appl. Math., 2012, 1–15.
  4. Banach, S., (1922), ``Sur les operations dans les ensembles abstraits et leur application aux équations integrales’’, Fund. Math. J., 3, 133–181.
  5. Barakat M.A., Zidan, A.M. (2015), ``A common fixed point theorem for weak contractive maps in -metric spaces’’, J. Egyptian Math. Soc., 23, 309–314.
  6. Beiranvand, A., Moradi, S., Omid, M., Pazandeh, H., (2009), ``Two Fixed Point Theorems For Special Mappings’’, arxiv:0903.1504v1 math.FA. Bilgili, N., Karapınar E., Salimi, P., (2013), ``Fixed point theorems for generalized contractions on -metric spaces’’, Journal of Inequalities and Applications 2013:39, 1–13.
  7. Chen, J., Li, Z., (2007) ``Common Fixed Points For Banach Operator Pairs in Best Approximation’’, J. Math. Anal. Appl., 336, 1466–1475.
  8. Ciric, Lj., Alsulami, S. M., Parvaneh, V., Roshan, R., (2013), ``Some fixed point results in ordered -metric spaces’’, Fixed Point Theory Appl. 2013:317, 1–25.
  9. Harjani, J., Sadarangani, K., (2009), ``Fixed point theorems for weakly contractive mappings in partially ordered sets’’, Nonlinear Anal., 71, 3403-3410.
  10. Karapınar, E., (2011), ``Generalizations of Caristi Kirk’ s Theorem on Partial Metric Spaces’’, Fixed Point Theory Appl., 2011, 1–7.
  11. Kaya, M., Öztürk M., Furkan, H., ``Some Common Fixed Point Theorems for -Contraction Mappings in - -Complete -Metric Spaces’’, British Journal of Mathematics & Computer Science, 16(2), 1--23, (2016)
  12. Matthews, S.G., (1994), ``Partial metric topology’’, in: Proc. 8th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci., 728, 183–197.
  13. Mustafa, Z., Sims, B., (2006), ``A new approach to generalized metric spaces’’, J. Nonlinear Convex Anal., 7, 289–297.
  14. Nieto, J.J., López, R.R., (2005) ``Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations’’, Order. 22, 223–239.
  15. Oltra S., Valero, O., (2004), ``Banachs fixed point theorem for partial metric spaces’’, Rend. Istit. Math. Univ. Tri