KaydedilenlerDerginizi ekleyin

Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2018 / Cilt: 36 - Sayı: 2

COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH

Esra YOLAÇAN
Pradip DEBNATH
Mehmet Ali AKTÜRK
Sayfa
419–432
Yayın Tarihi
2018-06-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, an application to integral equations is presented to affirm the importance.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:New generalized forms of Banach and Kannan type contractions have been described and some coupled coincidence and coupled common fixed point results have been established in the setting of metric space involving a graph.
📊
Temel Bulgular & Veri:Our theorems extend and generalize many existing results in the literature.
💡
Sonuç & Katkı:Furthermore, an application to integral equations is presented to affirm the importance.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Coupled coincidence point · coupled fixed point · metric space

Abstract

New generalized forms of Banach and Kannan type contractions have been described and some coupled coincidence and coupled common fixed point results have been established in the setting of metric space involving a graph. Our theorems extend and generalize many existing results in the literature. Furthermore, an application to integral equations is presented to affirm the importance.

🔖

Bu Makaleye Atıf Yap

YOLAÇAN, E., DEBNATH, P., AKTÜRK, M. A. (2018). COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 36 - Sayı: 2, 419–432. https://ajindex.com/articles/419177

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Lakshmikantham V. and Ciric L.B., (2009) Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis, Theory, Methods & Applications 70, 4341-4349
  2. Choudhury B. and Kundu A., (2010) A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Analysis, Theory, Methods & Applications 73, 2524-2531
  3. Geraghty M., (1973) On contractive mappings, Proceedings of the American Mathematical Society 40, 604-608
  4. Choudhury B.S. and Kundu A., (2012) On coupled generalised Banach and Kannan type contractions, Journal of Nonlinear Science and Applications 5, 259-270
  5. Kim J.K. and Chandok S., (2013) Coupled common fixed point theorems for generalized nonlinear contraction mappings with the mixed monotone property in partially ordered metric spaces, Fixed Point Theory and Applications 307, doi: 10.1186/1687-1812-2013-307
  6. Jachymski J., (2008) The contraction principle for mappings on a metric space with a graph, Proceedings of the American Mathematical Society 136, 1359-1373
  7. Beg I., Butt A.R., Radojevic S., (2010) The contraction principle for set valued mappings on a metric space with a graph, Computers & Mathematics with Applications 60, 1214-1219
  8. Bojor F., (2012) Fixed point theorems for Reich type contractions on metric space with a graph, Nonlinear Analysis, Theory, Methods & Applications 75 (9), 3895-3901
  9. Alfuradian M.R., (2015) The contraction principle for multivalued mappings on a modular metric space with a graph, Canadian Mathematical Bulletin 29, doi: 10.4153/CMB-2015-029-x
  10. Klanarong C. and Suantai S., (2015) Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph, Fixed Point Theory and Applications 129, doi: 10.1186/s13663-015-0379-1
  11. Chifu C. and Petrusel G., (2014) New results on coupled fixed point theory in metric space endowed with a directed graph, Fixed Point Theory and Applications 151, doi: 10.1186/1687-1812-2014-151
  12. Suantai S., Charoensawan P., Lampert T.A., (2015) Common coupled fixed point theorems for contractions mappings endowed with a directed graph, Fixed Point Theory and Applications, 224, doi: 10.1186/s13663-015-0473-4
  13. Oztürk M. and Girgin E., (2015) Some fixed point theorems and common fixed point theorems in metric space involving a graph, Bangmod International Journal of Mathematical &Computational Science 1(1), 172-182
  14. Eshi D.,