SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

Volume: 3 Number: 2 December 1, 2013
  • Mukti Gangopadhyay
  • M. Saha
  • A.p. Baisnab
EN

SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

Abstract

Here we prove two fixed point theorems on partial metric space, which was defined by S. Matthews [8] in 1994. In the literature one can find fixed point theorems proved on such spaces by using Picard iteration schemes. Here our main ingredient is Cantor intersection type results.

Keywords

References

  1. [1] Hassen Aydi, Some Fixed Point Results in ordered partial metric spaces, Math. GN(2011),1–7.
  2. [2] S. Banach, Sur les operations dans ensembles abstraits et. leur application aux quations integrals, Fund .Math.3,(1922)133181(French).1,3.
  3. [3] Michael Bukatin ET. A L., Partial Metric Spaces, The Mathematical Association of America, Monthly 116, 708–718.
  4. [4] L. B. Ciric, Generalised contractions and fixed point theorems, Publ. Inst. Math. 12(1971), 20–26.
  5. [5] S.K. Chatterjee, Fixed point theorems, Rend Acad. Bulgare Sc.25,(1972), 727–730.
  6. [6] E. Karapinar, Generalisations of Cristi Kirk’s Theorem on Partial Metric Spaces, Fixed Point Theory Appl. 2011, 2011:4, 7pp.
  7. [7] R. Kannan, Some results on fixed points, Bull. Calcutta Math.Soc. 60(1968),71–76.
  8. [8] S. Matthews, Partial Metric Topology, Proceedings of the 8thsummer conference on Topology and its applications, Annals of The New York Academy of Sciences, 728(1994), 183–197.

Details

Primary Language

English

Subjects

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Journal Section

-

Authors

Mukti Gangopadhyay This is me

M. Saha This is me

A.p. Baisnab This is me

Publication Date

December 1, 2013

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2013 Volume: 3 Number: 2

APA
Gangopadhyay, M., Saha, M., & Baisnab, A. (2013). SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES. TWMS Journal of Applied and Engineering Mathematics, 3(2), 206-213. https://izlik.org/JA52TP63RS
AMA
1.Gangopadhyay M, Saha M, Baisnab A. SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES. JAEM. 2013;3(2):206-213. https://izlik.org/JA52TP63RS
Chicago
Gangopadhyay, Mukti, M. Saha, and A.p. Baisnab. 2013. “SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES”. TWMS Journal of Applied and Engineering Mathematics 3 (2): 206-13. https://izlik.org/JA52TP63RS.
EndNote
Gangopadhyay M, Saha M, Baisnab A (December 1, 2013) SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES. TWMS Journal of Applied and Engineering Mathematics 3 2 206–213.
IEEE
[1]M. Gangopadhyay, M. Saha, and A. Baisnab, “SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES”, JAEM, vol. 3, no. 2, pp. 206–213, Dec. 2013, [Online]. Available: https://izlik.org/JA52TP63RS
ISNAD
Gangopadhyay, Mukti - Saha, M. - Baisnab, A.p. “SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES”. TWMS Journal of Applied and Engineering Mathematics 3/2 (December 1, 2013): 206-213. https://izlik.org/JA52TP63RS.
JAMA
1.Gangopadhyay M, Saha M, Baisnab A. SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES. JAEM. 2013;3:206–213.
MLA
Gangopadhyay, Mukti, et al. “SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES”. TWMS Journal of Applied and Engineering Mathematics, vol. 3, no. 2, Dec. 2013, pp. 206-13, https://izlik.org/JA52TP63RS.
Vancouver
1.Mukti Gangopadhyay, M. Saha, A.p. Baisnab. SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES. JAEM [Internet]. 2013 Dec. 1;3(2):206-13. Available from: https://izlik.org/JA52TP63RS