Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 4

A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function

Sayfa
347–357
Yayın Tarihi
2013-04-01
DOI
—
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Özet

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Abstract

In this manuscript, we discuss the existence of coupled fixed points inthe context of partially ordered metric spaces through implicit relationsfor mappings F : X× X → X such that F has the mixed monotoneproperty. Our main theorem improves and extends various results inthe literature. We also state an example to illustrate our work.

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Bu Makaleye Atıf Yap

GÜLYAZ, S., KARAPINAR, E. (2013). A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 4, 347–357. https://ajindex.com/articles/669596

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Kaynakça (11)

  1. Abbas, M., Sintunavarat, W. and Kumam,P. Coupled xed point in partially or- dered Gmetric spaces, Fixed Point Theory and Applications 2012, 2012:31. Abbas,M., Nazir, T. and Romaguera,S. Fixed point results for generalized cyclic contraction mappings in partial metric spaces, Revista de la Real Academia de Ciencias Exactas, (in press), doi:10.1007/s13398–011-0051-5.
  2. Abdeljawad, T. Fixed Points for generalized weakly contractive mappings in partial metric spaces, Math. Comput. Modelling 54(11-12), 2923–2927, 2011. Abdeljawad,T., Karapınar, E. and Ta¸s, K. Existence and uniqueness of common fixed point on partial metric spaces, Appl. Math. Lett. 24, 1894–1899, 2011. Abdeljawad,T., Karapınar, E. and Ta¸s, K. A generalized contraction principle with control functions on partial metric spaces, Comput. Math. Appl. 63 (3), 716–719, 2012.
  3. Altun, I. and Turkoglu, D. Some fixed point theorems for weakly compatible multivalued mappings satisfying an implicit relation, Filomat 22, 13–23, 2008.
  4. Altun, I., Sola, F. and Simsek,H. Generalized contractions on partial metric spaces, Topology and Appl. 157 (18), 2778–2785, 2010.
  5. Aydi, H., Vetro, C., Sintunavarat,W. and Kumam,P. Coincidence and xed points for contractions and cyclical contractions in partial metric spaces, Fixed Point Theory and Applications, (to appear). Aydi, H., Karapınar, E. and Shatanawi, W. Coupled fixed point results for (ψ, ϕ)-weakly contractive condition in ordered partial metric spaces, Comput. Math. Appl. 62(12), 4449– 4460, 2011. Gnana Bhaskar,T. and Lakshmikantham, V. Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65, 1379–1393, 2006.
  6. Berinde, V. Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces, Nonlinear Anal. 74, 7347–7355, 2011.
  7. Berinde, V. Coupled fixed point theorems for φ -contractive mixed monotone mappings in partially ordered metric spaces, Nonlinear Anal. 75, 3218–3228, 2012.
  8. Choudhury, B.S. and Kundu,A. A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Analysis 73, 2524–2531, 2010.
  9. Choudhury, B.S., Metiya,N. and Kundu, A. Coupled coincidence point theorems in ordered metric spaces. Ann. Univ. Ferrara 57, 1–16, 2011.
  10. Ciric, L., Cakic,N., Rajovic, M. and Ume, J.S. Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Point Theory Appl. 2008, Art. ID 131294, 2008.
  11. Chi, K.P., Karapınar, E. and Thanh, T. D. A