Fixed point results satisfying rational type contractive conditions in complex valued metric spaces

Poom Kumam; Muhammad Sarwar; Mian Bahadur Zada

Published: 2016-09-23

Vol. 30 (2016)

Fixed point results satisfying rational type contractive conditions in complex valued metric spaces

Poom Kumam , Muhammad Sarwar , Mian Bahadur Zada

Abstract

The aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of complex valued metric spaces. The derived results generalize and extend some well known results in the existing literature.

Keywords:

complex valued metric spaces , common fixed points , self-maps , Cauchy sequence , contractive conditions

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Kumam, P., Sarwar, M., & Zada, M. B. (2016). Fixed point results satisfying rational type contractive conditions in complex valued metric spaces. Annales Mathematicae Silesianae, 30, 89–110. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13958

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References

1. Azam A., Fisher B., Khan M., Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim. 32 (2011), no. 3, 243–253.
2. Banach S., Sur les opérations dans les ensembles abstraits et leurs applications aux equations integrales, Fund. Math. 3 (1922), 133–181.
3. Klin-eam C., Suanoom C., Some common fixed point theorems for generalized contractive type mappings on complex valued metric spaces, Abstr. Appl. Anal. 2013, Art. ID 604215, 6 pp.
4. Kumar T.S., Hussain R.J., Common fixed point theorems in complex valued metric spaces, Int. J. Innov. Res. Sci. Engrg. 2 (2014), no. 14, 834–838.
5. Rouzkard F., Imdad M., Some common fixed point theorems on complex valued metric spaces, Comput. Math. Appl. 64 (2012), no. 6, 1866–1874.
6. Sitthikul K., Saejung S., Some fixed point theorems in complex valued metric space, Fixed Point Theory Appl. 2012, 189, 11 pp.
7. Sintunavarat W., Kumam P., Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space, J. Appl. Math. 2011, Art. ID 637958, 14 pp.
8. Sintunavarat W., Kumam P., Generalized common fixed point theorems in complex valued metric spaces and applications, J. Inequal. Appl. 2012, 84, 12 pp. Google Scholar

Poom Kumam

poom.kum@kmutt.ac.th

Affiliation:

Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thailand Thailand

Muhammad Sarwar

Affiliation:

Department of Mathematics, University of Malakand, Pakistan Pakistan

Mian Bahadur Zada

Affiliation:

Department of Mathematics, University of Malakand, Pakistan Pakistan

Vol. 30 (2016)
Published: 2016-09-23

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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