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On the product of quasi-partial metric spaces

Razieh Gharibi|Sedigheh Jahedi
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.09|한국수학논문집 (Korean Journal of Mathematics)|제27권 제3호|pp. 819-830

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참고문헌

키워드

fixed pointpartial metricquasi-partial metriccompact space
주제분류수학

초록

This paper is mainly concerned with the existence and uniqueness of fixed points of $f: X^{k} \longrightarrow X$, $k\in \Bbb{N}$, where $X$ is a quasi- partial metric space and mapping $f$ satisfies appropriate conditions. Results are also supported with relevant examples.

Abstract

This paper is mainly concerned with the existence and uniqueness of fixed points of $f: X^{k} \longrightarrow X$, $k\in \Bbb{N}$, where $X$ is a quasi- partial metric space and mapping $f$ satisfies appropriate conditions. Results are also supported with relevant examples.

참고문헌 (20)

  1. CD. Aliprantis, "Innite Dimensional Analysis: A Hitchhikers Guide" (1999), Springer
  2. M. Arshad, "Fixed point of contractive dominated mappings on a closed ball in an ordered quasi partial metric space", Le Mathematiche, 70(2), pp.283~294 (2015)
  3. S. Banach, "Sur les operations dans les ensembles abstraits et leur application aux equations integrales", Fundam. Math, 3, pp.133~181 (1922)
  4. DW. Boyd, "On nonlinear contractions", Proc. Amer. Math. Soc, 20, pp.458~464 (1969)
  5. C. Di Bari, "Common xed points for ψ-contractions on partial metric spaces", Hacet. J. Math. Stat, 42(6), pp.591~598 (2013)
  6. M. Edelstein, "On xed and periodic points under contractive mappings", J. Lond. Math. Soc, 37, pp.74~79 (1962)
  7. O. Ege, "Banach xed point theorem for digital images", J. Nonlinear Sci. Appl, 8(3), pp.237~245 (2015)
  8. O. Ege, "Complex valued rectangular b-metric spaces and an application to linear equations", J. Nonlinear Sci. Appl, 8(6), pp.1014~1021 (2015)
  9. O. Ege, "Complex valued Gb-metric spaces", Le Mathematiche, 70(2), pp.283~294 (2015)
  10. O. Ege, "Some xed point theorems in Complex valued Gb-metric spaces", J. Nonlinear Convex A, 18(11), pp.1997~2005 (2017)
  11. X. Fan, "Some xed point theorems in generalized quasi partial metric spaces", J. Nonlinear Sci. Appl, 9, pp.1658~1674 (2016)
  12. Anuradha Gupta, "Quasi-partial b-metric spaces and some related fixed point theorems", Fixed Point Theory and Applications, 2015(1) (2015), Springer Science and Business Media LLC[DOI]
  13. X. Huang, "Fixed point theorems for expanding mappings in partial metric spaces", An. St. Univ. Ovidius Constanta, 20(1), pp.213~224 (2012)
  14. E. Karapinar, "Fixed point theorems on quasi-partial metric spaces", Math. Comput. Model, 57, pp.2442~2448 (2013)
  15. H.-P.A. Kunzi, "Handb Hist. Topol. 3", pp.853~968 (2001)
  16. H.-P.A. Kunzi, "Partial quasi-metrics", Theoret. Comput. Sci, 365, pp.237~246 (2006)
  17. S.G. Matthews, "Partial metric topology", Proceedings of the 8th Summer Conference on Topology and its Applications, 728, pp.183~197 (1994)
  18. M. Pacurar, "A multi-step iterative method for approximating xed points of Presic-Kannan operators", Acta Math. Univ. Comenianae, 79(1), pp.77~88 (2010)
  19. S. B. Presic, "Sur une classe dinequations aux dierences nies et sur la conver-gence de certaines suites", Publ. Inst. Math, 5(19), pp.75~78 (1965)
  20. Naseer Shahzad, "A Nemytskii-Edelstein type fixed point theorem for partial metric spaces", Fixed Point Theory and Applications, 2015(1) (2015), Springer Science and Business Media LLC[DOI]

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