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

Year 2013, Volume: 42 Issue: 6, 591 - 598, 01.06.2013

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.

References

  • Boyd, D. W. and Wong, J. S. W. On nonlinear contractions, Proc. Amer. Math. Soc., 20, 458–464, 1969.
  • Banach, S. Sur les op´ erations dans les ensembles abstraits et leur application aux ´ equations int´ egrales, Fund. Math., 3, 133–181, 1922.
  • 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.
  • 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.
  • ´ 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.
  • Kannan, R. Some results on fixed points, Bull. Calcutta Math. Soc., 60, 71–76, 1968.
  • 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.
  • 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.
  • 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.
  • Romaguera, S. and Schellekens, M. Partial metric monoids and semivaluation spaces, Topology Appl., 153, 948–962, 2005.
  • Valero, O. On Banach fixed point theorems for partial metric spaces, Appl. Gen. Topol., 6, 229–240, 2005.

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

Year 2013, Volume: 42 Issue: 6, 591 - 598, 01.06.2013

Abstract

-

References

  • Boyd, D. W. and Wong, J. S. W. On nonlinear contractions, Proc. Amer. Math. Soc., 20, 458–464, 1969.
  • Banach, S. Sur les op´ erations dans les ensembles abstraits et leur application aux ´ equations int´ egrales, Fund. Math., 3, 133–181, 1922.
  • 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.
  • 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.
  • ´ 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.
  • Kannan, R. Some results on fixed points, Bull. Calcutta Math. Soc., 60, 71–76, 1968.
  • 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.
  • 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.
  • 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.
  • Romaguera, S. and Schellekens, M. Partial metric monoids and semivaluation spaces, Topology Appl., 153, 948–962, 2005.
  • Valero, O. On Banach fixed point theorems for partial metric spaces, Appl. Gen. Topol., 6, 229–240, 2005.
There are 11 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Cristina Di Bari This is me

Pasquale Vetro This is me

Publication Date June 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 6

Cite

APA Bari, C. D., & Vetro, P. (2013). COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES. Hacettepe Journal of Mathematics and Statistics, 42(6), 591-598.
AMA Bari CD, Vetro P. COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES. Hacettepe Journal of Mathematics and Statistics. June 2013;42(6):591-598.
Chicago Bari, Cristina Di, and Pasquale Vetro. “COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES”. Hacettepe Journal of Mathematics and Statistics 42, no. 6 (June 2013): 591-98.
EndNote Bari CD, Vetro P (June 1, 2013) COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES. Hacettepe Journal of Mathematics and Statistics 42 6 591–598.
IEEE C. D. Bari and P. Vetro, “COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 6, pp. 591–598, 2013.
ISNAD Bari, Cristina Di - Vetro, Pasquale. “COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES”. Hacettepe Journal of Mathematics and Statistics 42/6 (June 2013), 591-598.
JAMA Bari CD, Vetro P. COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42:591–598.
MLA Bari, Cristina Di and Pasquale Vetro. “COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 6, 2013, pp. 591-8.
Vancouver Bari CD, Vetro P. COMMON FIXED POINTS FOR ψ-CONTRACTIONS ON PARTIAL METRIC SPACES. Hacettepe Journal of Mathematics and Statistics. 2013;42(6):591-8.