Research Article

WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES

Volume: 3 Number: 1 May 15, 2015
EN

WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES

Abstract

The purpose of this paper is to prove a general fixed point theorem in Gp - metric space for mappings satisfying an implicit relation. If Gp - metric is symmetric, we prove that the fixed point problem is well posed. 

Keywords

Fixed point,Gp - metric spaces,Well posedness of fixed point problem,Implicit relation

References

  1. [1] Abbas, M., Nazi, T., Radanovi´c, S., Some periodic point results in generalized metric spaces. Appl. Math. Comput. 217 (2010), 4084-4099.
  2. [2] Abdeljawad, T., Karapinar, E., Tas, K., Existence and uniqueness of a common fixed point on partial metric spaces. Appl. Math. Lett. 24 (2011), no. 11, 1900-1904.
  3. [3] Akkouchi, M., Popa, V., Well posedness of common fixed point problem for three mappings under strict contractive conditions. Bul. Univ. Petrol - Gaze Ploie¸sti, Ser. Mat. Inform. Fiz. 61 (2009), no. 2, 1-10.
  4. [4] Akkouchi, M., Popa, V., Well posedness of a fixed point problem using G - functions. Sci. Stud. Res. Ser. Math. Inform. 20 (2010), 5-12.
  5. [5] Akkouchi, M., Popa, V., Well posedness of a fixed point problem for mappings satisfying an implicit relation. Demonstr. Math. 43 (2010), no. 4, 923-929.
  6. [6] Akkouchi, M., Popa, V., Well posedness of fixed point problem for hybrid pairs of mappings. Fasc. Math. 46 (2011), 5-16.
  7. [7] Altun, I., Sola, F., Simsek, H., Generalized contractions on partial metric spaces. Topology Appl. 157 (2010), no. 18, 2778-2785.
  8. [8] Aydi, H., Karapinar, E., Salimi, P., Some fixed point results in Gp-metric spaces. J. Appl. Math. (2012), Article ID 891713.
  9. [9] Barakat, M. A., Zidan, A. M., A common fixed point theorem for weak contractive maps in Gp - metric spaces. J. Egyptian Math. Soc. (2014), DOI: 10.1016/j.joems.2014.06.008.
  10. [10] Bilgili, N., Karapinar, E., Salimi, P., Fixed point theorems for generalized contractions on Gp - metric spaces. J. Inequalities and Appl. Math.(2013), 2013:39.
APA
Popa, V., & Patrıcıu, A.- mihaela. (2015). WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES. Mathematical Sciences and Applications E-Notes, 3(1), 108-117. https://doi.org/10.36753/mathenot.421226
AMA
1.Popa V, Patrıcıu A mihaela. WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES. Math. Sci. Appl. E-Notes. 2015;3(1):108-117. doi:10.36753/mathenot.421226
Chicago
Popa, Valeriu, and Alina-mihaela Patrıcıu. 2015. “WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES”. Mathematical Sciences and Applications E-Notes 3 (1): 108-17. https://doi.org/10.36753/mathenot.421226.
EndNote
Popa V, Patrıcıu A- mihaela (May 1, 2015) WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES. Mathematical Sciences and Applications E-Notes 3 1 108–117.
IEEE
[1]V. Popa and A.- mihaela Patrıcıu, “WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES”, Math. Sci. Appl. E-Notes, vol. 3, no. 1, pp. 108–117, May 2015, doi: 10.36753/mathenot.421226.
ISNAD
Popa, Valeriu - Patrıcıu, Alina-mihaela. “WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES”. Mathematical Sciences and Applications E-Notes 3/1 (May 1, 2015): 108-117. https://doi.org/10.36753/mathenot.421226.
JAMA
1.Popa V, Patrıcıu A- mihaela. WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES. Math. Sci. Appl. E-Notes. 2015;3:108–117.
MLA
Popa, Valeriu, and Alina-mihaela Patrıcıu. “WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES”. Mathematical Sciences and Applications E-Notes, vol. 3, no. 1, May 2015, pp. 108-17, doi:10.36753/mathenot.421226.
Vancouver
1.Valeriu Popa, Alina-mihaela Patrıcıu. WELL POSEDNESS OF FIXED POINT PROBLEM FOR MAPPINGS SATISFYING AN IMPLICIT RELATION IN Gp - METRIC SPACES. Math. Sci. Appl. E-Notes. 2015 May 1;3(1):108-17. doi:10.36753/mathenot.421226