Research Article

A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces

Volume: 27 Number: 4 February 7, 2014
EN

A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces

Abstract

In this paper a general fixed point theorem for two pairs of weakly compatible mappings satisfying phi - implicit relations in G - metric spaces, which generalize and improve Theorem 2.1 [9], is proved. 

Keywords

References

  1. point theorems under strict contractive condition”, Math. Anal. Appl., 270: 181-188 (2002). point results for noncommuting mappings without continuity in generalized metric spaces”, Appl. Math. Comput., 215: 262-269 (2009).
  2. “Remarks on some fixed point theorems satisfying implicit relations”, Rad. Mat., 11: 135-143 (2002). noncontinuous nonself maps on nonnumeric spaces”, Far
  3. East J. Math. Sci., 4, 2: 195-215 (1996). four mappings in G - metric spaces”, Int. J. Math. Anal., 6 (47): 2345-2356 (2012).
  4. M., “Cyclic contractions on G - metric spaces”, Abstr. Appl. Anal., Volume 2013, Article ID 182747. concerning D - metric spaces”, Proc. Conf. Fixed Point
  5. Theory and Applications, Valencia (Spain), 189-198 (2003). generalized metric spaces”, J. Nonlinear Convex Anal., 7: 287-297 (2006).
  6. Mustafa, Z., Obiedat, H. and Awawdeh, F., “Some fixed point theorems for mappings on G - complete metric spaces”, Fixed Point Theory Appl., Volume 2008, Art. ID 189879, 12 pages.
  7. Mustafa, Z. and Sims, B., “Fixed point theorems for contractive mappings in complete G metric spaces”, Fixed Point Theory Appl., Volume 2009, Art. ID 917175, 10 pages.
  8. Mustafa, Z. and Obiedat, H., “A fixed point theorem of Reich in G - metric spaces”, Cubo, 12: 73- 93 (2010).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Alina-mihaela Patriciu This is me

Publication Date

February 7, 2014

Submission Date

February 7, 2014

Acceptance Date

-

Published in Issue

Year 2014 Volume: 27 Number: 4

APA
Popa, V., & Patriciu, A.- mihaela. (2014). A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces. Gazi University Journal of Science, 27(4), 1031-1038. https://izlik.org/JA93WG78DX
AMA
1.Popa V, Patriciu A mihaela. A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces. Gazi University Journal of Science. 2014;27(4):1031-1038. https://izlik.org/JA93WG78DX
Chicago
Popa, Valeriu, and Alina-mihaela Patriciu. 2014. “A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces”. Gazi University Journal of Science 27 (4): 1031-38. https://izlik.org/JA93WG78DX.
EndNote
Popa V, Patriciu A- mihaela (November 1, 2014) A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces. Gazi University Journal of Science 27 4 1031–1038.
IEEE
[1]V. Popa and A.- mihaela Patriciu, “A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces”, Gazi University Journal of Science, vol. 27, no. 4, pp. 1031–1038, Nov. 2014, [Online]. Available: https://izlik.org/JA93WG78DX
ISNAD
Popa, Valeriu - Patriciu, Alina-mihaela. “A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces”. Gazi University Journal of Science 27/4 (November 1, 2014): 1031-1038. https://izlik.org/JA93WG78DX.
JAMA
1.Popa V, Patriciu A- mihaela. A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces. Gazi University Journal of Science. 2014;27:1031–1038.
MLA
Popa, Valeriu, and Alina-mihaela Patriciu. “A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces”. Gazi University Journal of Science, vol. 27, no. 4, Nov. 2014, pp. 1031-8, https://izlik.org/JA93WG78DX.
Vancouver
1.Valeriu Popa, Alina-mihaela Patriciu. A General Fixed Point Theorem for Pairs of Mappings Satisfying a φ - Implicit Relation in G - Metric Spaces. Gazi University Journal of Science [Internet]. 2014 Nov. 1;27(4):1031-8. Available from: https://izlik.org/JA93WG78DX