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Journals / Gazi University Journal of Science / 2016 / Cilt: 29 - Sayı: 3

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

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

Ebrahim ANALOUEİ ADEGANİ
Ahmad ZİREH
Mahmood BİDKHAM
Pages
681–693
Publication Date
2016-09-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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}.

📌 3 Key Takeaways

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Objective & Hypothesis: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}.
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Key Findings & Data: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}.
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Conclusion & Impact: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}.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Common fixed point · complex valued $b$-metric space.

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}.

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Cite This Article

ADEGANİ, E. A., ZİREH, A., BİDKHAM, M. (2016). COMMON FIXED POINT THEOREM FOR CONTRACTIVE MAPPINGS IN COMPLEX VALUED -METRIC SPACES. Gazi University Journal of Science, Cilt: 29 - Sayı: 3, 681–693. https://ajindex.com/articles/254708

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References (1)

  1. 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.