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COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES

Year 2016, Volume: 29 Issue: 3, 681 - 693, 30.09.2016
https://izlik.org/JA67PK42LN

Abstract

In this paper, we present some common fixed point results for the contractive mappings on complex valued $b$-metric spaces and obtain a generalization of theorem of Azam et al., \cite{Az}, Klin-eam and Suanoom \cite{Kl}, Mukheimer \cite{Mu}, Rouzkard and Imdad \cite{Ro}, Sitthikul and Saejung \cite{Si} and Sintunavarat and Kumam \cite{Sk}.

References

  • bibitem{Ah} J. Ahmad and A. Azam and Satit Saejung, Common fixed point results for contractive
  • mappings in complex valued metric spaces, Fixed Point Theory Appl.,
  • (2014) 67.
  • bibitem{Az} A. Azam, B. Fisher and M. Khan, Common fixed point theorems in complex
  • valued metric spaces, Numer. Funct. Anal. Optim., 32 (2011) 243-253.
  • bibitem{Ba} S. Banach, Sur les operations dans les ensembles abstraits et
  • leur application aux equations integrals, Fund. Math., 3 (1922)
  • -181.
  • bibitem{Kl} C. Klin-eam and C. Suanoom, Some common fixed point theorems for
  • generalized contractive type mappings on complex-valued metric
  • spaces, Abst. Appl. Anal., (2013) Art. ID 604215, 6 pages.
  • bibitem{Mu} A. A. Mukheimer, Some common fixed point theorems in complex valued
  • $b$-metric spaces, Sci. World J., (2014) Art. ID 587825, 6 pages.
  • bibitem{Ra} K. Rao, P. Swamy and J. Prasad, A common fixed point theorems in complex valued
  • $b$-metric spaces, Bull. Math. Statist. Res., 1 (2013) 1-8.
  • bibitem{Ro}F. Rouzkard and M. Imdad, Some common fixed point theorems on complex-valued metric spaces,
  • Comput. Math. Appl., 64 (2012) 1866-1874.
  • bibitem{Si} K. Sitthikul and S. Saejung, Some fixed point theorems in complex valued metric space, Fixed Point Theory Appl., 2012 (2012) 189.
  • bibitem{Sk} W. Sintunavarat and P, Kumam, Generalized common fixed point theorems
  • in complex-valued metric spaces and applications, J. Inequal.
  • Appl., 2012 (2012) 84.

Common Fixed Point Theorem for Contractive Mappings in Complex Valued b-Metric Spaces

Year 2016, Volume: 29 Issue: 3, 681 - 693, 30.09.2016
https://izlik.org/JA67PK42LN

Abstract

References

  • bibitem{Ah} J. Ahmad and A. Azam and Satit Saejung, Common fixed point results for contractive
  • mappings in complex valued metric spaces, Fixed Point Theory Appl.,
  • (2014) 67.
  • bibitem{Az} A. Azam, B. Fisher and M. Khan, Common fixed point theorems in complex
  • valued metric spaces, Numer. Funct. Anal. Optim., 32 (2011) 243-253.
  • bibitem{Ba} S. Banach, Sur les operations dans les ensembles abstraits et
  • leur application aux equations integrals, Fund. Math., 3 (1922)
  • -181.
  • bibitem{Kl} C. Klin-eam and C. Suanoom, Some common fixed point theorems for
  • generalized contractive type mappings on complex-valued metric
  • spaces, Abst. Appl. Anal., (2013) Art. ID 604215, 6 pages.
  • bibitem{Mu} A. A. Mukheimer, Some common fixed point theorems in complex valued
  • $b$-metric spaces, Sci. World J., (2014) Art. ID 587825, 6 pages.
  • bibitem{Ra} K. Rao, P. Swamy and J. Prasad, A common fixed point theorems in complex valued
  • $b$-metric spaces, Bull. Math. Statist. Res., 1 (2013) 1-8.
  • bibitem{Ro}F. Rouzkard and M. Imdad, Some common fixed point theorems on complex-valued metric spaces,
  • Comput. Math. Appl., 64 (2012) 1866-1874.
  • bibitem{Si} K. Sitthikul and S. Saejung, Some fixed point theorems in complex valued metric space, Fixed Point Theory Appl., 2012 (2012) 189.
  • bibitem{Sk} W. Sintunavarat and P, Kumam, Generalized common fixed point theorems
  • in complex-valued metric spaces and applications, J. Inequal.
  • Appl., 2012 (2012) 84.
There are 21 citations in total.

Details

Authors

Ebrahim Analouei Adegani

Ahmad Zireh

Mahmood Bidkham This is me

Publication Date September 30, 2016
IZ https://izlik.org/JA67PK42LN
Published in Issue Year 2016 Volume: 29 Issue: 3

Cite

APA Analouei Adegani, E., Zireh, A., & Bidkham, M. (2016). COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES. Gazi University Journal of Science, 29(3), 681-693. https://izlik.org/JA67PK42LN
AMA 1.Analouei Adegani E, Zireh A, Bidkham M. COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES. Gazi University Journal of Science. 2016;29(3):681-693. https://izlik.org/JA67PK42LN
Chicago Analouei Adegani, Ebrahim, Ahmad Zireh, and Mahmood Bidkham. 2016. “COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES”. Gazi University Journal of Science 29 (3): 681-93. https://izlik.org/JA67PK42LN.
EndNote Analouei Adegani E, Zireh A, Bidkham M (September 1, 2016) COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES. Gazi University Journal of Science 29 3 681–693.
IEEE [1]E. Analouei Adegani, A. Zireh, and M. Bidkham, “COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES”, Gazi University Journal of Science, vol. 29, no. 3, pp. 681–693, Sept. 2016, [Online]. Available: https://izlik.org/JA67PK42LN
ISNAD Analouei Adegani, Ebrahim - Zireh, Ahmad - Bidkham, Mahmood. “COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES”. Gazi University Journal of Science 29/3 (September 1, 2016): 681-693. https://izlik.org/JA67PK42LN.
JAMA 1.Analouei Adegani E, Zireh A, Bidkham M. COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES. Gazi University Journal of Science. 2016;29:681–693.
MLA Analouei Adegani, Ebrahim, et al. “COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES”. Gazi University Journal of Science, vol. 29, no. 3, Sept. 2016, pp. 681-93, https://izlik.org/JA67PK42LN.
Vancouver 1.Ebrahim Analouei Adegani, Ahmad Zireh, Mahmood Bidkham. COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES. Gazi University Journal of Science [Internet]. 2016 Sep. 1;29(3):681-93. Available from: https://izlik.org/JA67PK42LN