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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

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

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

Journal Section Mathematics
Authors

Ebrahim Analouei Adegani

Ahmad Zireh

Mahmood Bidkham This is me

Publication Date September 30, 2016
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.
AMA Analouei Adegani E, Zireh A, Bidkham M. COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES. Gazi University Journal of Science. September 2016;29(3):681-693.
Chicago Analouei Adegani, Ebrahim, Ahmad Zireh, and Mahmood Bidkham. “COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES”. Gazi University Journal of Science 29, no. 3 (September 2016): 681-93.
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 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, 2016.
ISNAD Analouei Adegani, Ebrahim et al. “COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES”. Gazi University Journal of Science 29/3 (September 2016), 681-693.
JAMA 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, 2016, pp. 681-93.
Vancouver 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):681-93.