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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Volume: 42 Issue: 6

COMMON FIXED POINTS FOR &#968-CONTRACTIONS ON PARTIAL METRIC SPACES

Cristina Di Bari
Pasquale Vetro
Sayfa
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Yayın Tarihi
2013-06-01
DOI
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Özet

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Abstract

We prove some generalized versions of an interesting result of Matthewsusing conditions of different type in 0-complete partial metric spaces.We give, also, a homotopy result for operators on partial metric spaces.

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Bu Makaleye Atıf Yap

Bari, C. D., Vetro, P. (2013). COMMON FIXED POINTS FOR &#968-CONTRACTIONS ON PARTIAL METRIC SPACES. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 6. https://ajindex.com/articles/1403434

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Kaynakça (11)

  1. Boyd, D. W. and Wong, J. S. W. On nonlinear contractions, Proc. Amer. Math. Soc., 20, 458–464, 1969.
  2. Banach, S. Sur les op´ erations dans les ensembles abstraits et leur application aux ´ equations int´ egrales, Fund. Math., 3, 133–181, 1922.
  3. Bukatin, M. A. and Scott, J. S. Towards computing distances between programs via Scott domains, in: Logical Foundations of Computer Sicence, Lecture Notes in Computer Science, vol. 1234, Springer, 33–43, 1997.
  4. Bukatin, M. A. and Shorina, S. Y. Partial metrics and co-continuous valuations, in: Foundations of Software Science and Computation Structures, Lecture Notes in Computer Science, vol. 1378, Springer, 33–43, 1998.
  5. ´ Ciri´ c, Lj., Samet, B., Aydi, H. and Vetro, C. Common fixed points of generalized contractions on partial metric spaces and an application, Appl. Math. Comput., 218, 2398–2406, 2011. Hardy, G. E. and Rogers, T. D. A generalization of a fixed point theorem of Reich, Canad. Math. Bull., 16, 201–206, 1973.
  6. Kannan, R. Some results on fixed points, Bull. Calcutta Math. Soc., 60, 71–76, 1968.
  7. Matthews, S. G. Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications. Ann. New York Acad. Sci., 728, 183–197, 1994.
  8. O’Neill, S. J. Partial metrics, valuations and domain theory, in: Proc. 11th Summer Conference on General Topology and Applications. Ann. New York Acad. Sci., 806, 304–315, 19 Oltra, S. and Valero, O. Banach’s fixed point theorem for partial metric spaces, Rend. Istit. Mat. Univ. Trieste, 36, 17–26, 2004.
  9. Reich, S. Some remarks concerning contraction mappings, Canad. Math. Bull., 14, 121–124, 19 Romaguera, S. A Kirk type characterization of completeness for partial metric spaces, Fixed Point Theory Appl., Volume 2010, Article ID 493298, 6 pages.
  10. Romaguera, S. and Schellekens, M. Partial metric monoids and semivaluation spaces, Topology Appl., 153, 948–962, 2005.
  11. Valero, O. On Banach fixed point theorems for partial metric spaces, Appl. Gen. Topol., 6, 229–240, 2005.