Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 6

COMMON FIXED POINTS FOR ?-CONTRACTIONS ON PARTIAL METRIC SPACES

Pages
591–598
Publication Date
2022-10-18
DOI
—
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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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Objective & Hypothesis: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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Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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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Cite This Article

VETRO, P., BARİ, C. D. (2022). COMMON FIXED POINTS FOR ?-CONTRACTIONS ON PARTIAL METRIC SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 6, 591–598. https://ajindex.com/articles/530431

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References (14)

  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: Founda?tions 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 contractionson partial metric spaces and an application, Appl. Math. Comput., 218, 2398-2406, 2011
  6. Hardy, G. E. and Rogers, T. D. A generalization of a fixed point theorem of Reich, Canad. Math. Bull., 16, 201-206, 1973
  7. Kannan, R. Some results on fixed points, Bull. Calcutta Math. Soc., 60, 71-76, 1968
  8. 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
  9. O'Neill, S. J. Partial metrics, valuations and domain theory, in: Proc. 11th Summer Con?ference on General Topology and Applications. Ann. New York Acad. Sci., 806, 304-315, 1996
  10. Oltra, S. and Valero, O. Banach's fixed point theorem for partial metric spaces, Rend. Istit. Mat. Univ. Trieste, 36, 17-26, 2004
  11. Reich, S. Some remarks concerning contraction mappings, Canad. Math. Bull., 14, 121-124,1971
  12. Romaguera, S. A Kirk type characterization of completeness for partial metric spaces, Fixed Point Theory Appl., Volume 2010, Article ID 493298, 6 pages
  13. Romaguera, S. and Schellekens, M. Partial metric monoids and semivaluation spaces, Topol?ogy Appl., 153, 948-962, 2005
  14. Valero, O. On Banach fixed point theorems for partial metric spaces, Appl. Gen. Topol., 6, 229-240, 2005.