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COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES

Year 2017, Volume: 5 Issue: 2, 54 - 69, 15.10.2017

Abstract

In this study, we extend some common fixed points theorems for mappings in metrically convex metric spaces into partial metric spaces. We generalize earlier results by Imdad \textit{et al.} We also provide an illustrative example.

References

  • [1] N. Assad and W. Kirk, Fixed point theorems for set-valued mappings of contractive type, Paci c J. Math. 43 (1972), 553-562.
  • [2] Lj. Gajic and V. Rakocevic, Pair of non-self mappings and common xed points, Appl. Math. Comp. 187 (2007), 999-1006.
  • [3] O. Hadzic, On coincidence points in convex metric spaces, Univ. U. Novom. Sadu, Zb. Rad, Prirod. Mat. Fak. Ser. Mat. 19(2) (1986), 233-240.
  • [4] M. Imdad, L. Khan and D. Sahu, Common xed point theorems for two pairs of non-self mappings, Journal of Applied Mathematics and Computing 21(1) (2006), 269-287.
  • [5] M. Imdad and S. Kumar, Rhoades-type xed-point theorems for a pair of nonself mappings, Computers & Mathematics with Applications 46(5) (2003), 919-927.
  • [6] E. Karapinar, S. Sedghi and N. Shobkolaei, Common xed point of maps in complete partial metric spaces, Annals of the Alexandru Ioan Cuza University - Mathematics 0(0), (2014), 65-78.
  • [7] S. Mathews, Partial metric topology in Papers on General Topology and Applications, Eighth Summer Conference at Queens College. Eds. S. Andima et.al., Annals of the New York Academy of Sciences 728 (1994), 183-197.
  • [8] S. Oltra and O. Valero, Banach's Fixed Point Theorem for Partial Metric Spaces, Rend. Istit. Mat. Univ. Trieste 36 (2004), 17-26.
Year 2017, Volume: 5 Issue: 2, 54 - 69, 15.10.2017

Abstract

References

  • [1] N. Assad and W. Kirk, Fixed point theorems for set-valued mappings of contractive type, Paci c J. Math. 43 (1972), 553-562.
  • [2] Lj. Gajic and V. Rakocevic, Pair of non-self mappings and common xed points, Appl. Math. Comp. 187 (2007), 999-1006.
  • [3] O. Hadzic, On coincidence points in convex metric spaces, Univ. U. Novom. Sadu, Zb. Rad, Prirod. Mat. Fak. Ser. Mat. 19(2) (1986), 233-240.
  • [4] M. Imdad, L. Khan and D. Sahu, Common xed point theorems for two pairs of non-self mappings, Journal of Applied Mathematics and Computing 21(1) (2006), 269-287.
  • [5] M. Imdad and S. Kumar, Rhoades-type xed-point theorems for a pair of nonself mappings, Computers & Mathematics with Applications 46(5) (2003), 919-927.
  • [6] E. Karapinar, S. Sedghi and N. Shobkolaei, Common xed point of maps in complete partial metric spaces, Annals of the Alexandru Ioan Cuza University - Mathematics 0(0), (2014), 65-78.
  • [7] S. Mathews, Partial metric topology in Papers on General Topology and Applications, Eighth Summer Conference at Queens College. Eds. S. Andima et.al., Annals of the New York Academy of Sciences 728 (1994), 183-197.
  • [8] S. Oltra and O. Valero, Banach's Fixed Point Theorem for Partial Metric Spaces, Rend. Istit. Mat. Univ. Trieste 36 (2004), 17-26.
There are 8 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Santosh Kumar

Terentius Rugumısa This is me

M. Imdad This is me

Publication Date October 15, 2017
Submission Date October 13, 2017
Acceptance Date June 7, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

APA Kumar, S., Rugumısa, T., & Imdad, M. (2017). COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES. Konuralp Journal of Mathematics, 5(2), 54-69.
AMA Kumar S, Rugumısa T, Imdad M. COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES. Konuralp J. Math. October 2017;5(2):54-69.
Chicago Kumar, Santosh, Terentius Rugumısa, and M. Imdad. “COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES”. Konuralp Journal of Mathematics 5, no. 2 (October 2017): 54-69.
EndNote Kumar S, Rugumısa T, Imdad M (October 1, 2017) COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES. Konuralp Journal of Mathematics 5 2 54–69.
IEEE S. Kumar, T. Rugumısa, and M. Imdad, “COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES”, Konuralp J. Math., vol. 5, no. 2, pp. 54–69, 2017.
ISNAD Kumar, Santosh et al. “COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES”. Konuralp Journal of Mathematics 5/2 (October 2017), 54-69.
JAMA Kumar S, Rugumısa T, Imdad M. COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES. Konuralp J. Math. 2017;5:54–69.
MLA Kumar, Santosh et al. “COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES”. Konuralp Journal of Mathematics, vol. 5, no. 2, 2017, pp. 54-69.
Vancouver Kumar S, Rugumısa T, Imdad M. COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES. Konuralp J. Math. 2017;5(2):54-69.
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