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COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE

Year 2014, Volume: 27 Issue: 4, 1053 - 1062, 09.05.2014

Abstract

The aim of this paper is to establish common fixed point theorems for
single valued maps satisfying general contractive condition of integral type using
weak compatibility wherein the conditions of completeness of the underlying
subspaces and containment of ranges amongst involved maps is not needed.
Moreover, an example and an application are also given to illustrate the usability of
the obtained results.

References

  • G. Jungck and B.E. Rhoades, Fixed points for
  • set valued functions without continuity,
  • Indian J. Pure Appl. Math., 29 (1998), 227- 238. [7]
  • W. Liu, J. Wu and Z. Li, Common fixed
  • points of single-valued and multivalued maps,
  • Int. J. Math. Math. Sci., 19(2005) 3045-3055. [8]
  • S. Manro, S.Kumar and S. S. Bhatia,
  • Common fixed point theorems in fuzzy metric
  • spaces using common range property, Journal of
  • Mathematics (Accepted and in press). in Applied [9]
  • W. Sintunavarat and P. Kumam, Common
  • fixed point theorems for a pair of weakly
  • compatible mappings in fuzzy metric spaces,
  • J. Appl. Math., Volume 2011, Article ID 637958, 14 pages.

Common Fixed Point Theorems for Single Valued Weakly Compatible Maps in Metric Space

Year 2014, Volume: 27 Issue: 4, 1053 - 1062, 09.05.2014

Abstract

References

  • G. Jungck and B.E. Rhoades, Fixed points for
  • set valued functions without continuity,
  • Indian J. Pure Appl. Math., 29 (1998), 227- 238. [7]
  • W. Liu, J. Wu and Z. Li, Common fixed
  • points of single-valued and multivalued maps,
  • Int. J. Math. Math. Sci., 19(2005) 3045-3055. [8]
  • S. Manro, S.Kumar and S. S. Bhatia,
  • Common fixed point theorems in fuzzy metric
  • spaces using common range property, Journal of
  • Mathematics (Accepted and in press). in Applied [9]
  • W. Sintunavarat and P. Kumam, Common
  • fixed point theorems for a pair of weakly
  • compatible mappings in fuzzy metric spaces,
  • J. Appl. Math., Volume 2011, Article ID 637958, 14 pages.
There are 14 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Saurabh Manro

Anita Tomar This is me

Publication Date May 9, 2014
Published in Issue Year 2014 Volume: 27 Issue: 4

Cite

APA Manro, S., & Tomar, A. (2014). COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE. Gazi University Journal of Science, 27(4), 1053-1062.
AMA Manro S, Tomar A. COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE. Gazi University Journal of Science. November 2014;27(4):1053-1062.
Chicago Manro, Saurabh, and Anita Tomar. “COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE”. Gazi University Journal of Science 27, no. 4 (November 2014): 1053-62.
EndNote Manro S, Tomar A (November 1, 2014) COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE. Gazi University Journal of Science 27 4 1053–1062.
IEEE S. Manro and A. Tomar, “COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE”, Gazi University Journal of Science, vol. 27, no. 4, pp. 1053–1062, 2014.
ISNAD Manro, Saurabh - Tomar, Anita. “COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE”. Gazi University Journal of Science 27/4 (November 2014), 1053-1062.
JAMA Manro S, Tomar A. COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE. Gazi University Journal of Science. 2014;27:1053–1062.
MLA Manro, Saurabh and Anita Tomar. “COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE”. Gazi University Journal of Science, vol. 27, no. 4, 2014, pp. 1053-62.
Vancouver Manro S, Tomar A. COMMON FIXED POINT THEOREMS FOR SINGLE VALUED WEAKLY COMPATIBLE MAPS IN METRIC SPACE. Gazi University Journal of Science. 2014;27(4):1053-62.