Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces

Kumam, Poom; Sarwar, Muhammad; Zada, Mian Bahadur

doi:10.1515/amsil-2016-0003

.blurhash-client-img { display: none !important; }

Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces

Annales Mathematicae Silesianae

Volume 30 (2016): Issue 1 (September 2016)

By: Poom Kumam, Muhammad Sarwar and Mian Bahadur Zada

Open Access

|Sep 2016

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.

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.
Search in Google Scholar Back to article
[2] Banach S., Sur les opérations dans les ensembles abstraits et leurs applications aux equations integrales, Fund. Math. 3 (1922), 133–181.10.4064/fm-3-1-133-181
Search in Google Scholar Back to article
[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.10.1155/2013/604215
Search in Google Scholar Back to article
[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.
Search in Google Scholar Back to article
[5] Rouzkard F., Imdad M., Some common fixed point theorems on complex valued metric spaces, Comput. Math. Appl. 64 (2012), no. 6, 1866–1874.
Search in Google Scholar Back to article
[6] Sitthikul K., Saejung S., Some fixed point theorems in complex valued metric space, Fixed Point Theory Appl. 2012, 189, 11 pp.10.1186/1687-1812-2012-189
Search in Google Scholar Back to article
[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.10.1155/2011/637958
Search in Google Scholar Back to article
[8] Sintunavarat W., Kumam P., Generalized common fixed point theorems in complex valued metric spaces and applications, J. Inequal. Appl. 2012, 84, 12 pp.10.1186/1029-242X-2012-84
Search in Google Scholar Back to article

DOI: https://doi.org/10.1515/amsil-2016-0003 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

Journal RSS Feed

Language: English

Page range: 89 - 110

Submitted on: Oct 9, 2015

Accepted on: Mar 15, 2016

Published on: Sep 23, 2016

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

complex valued metric spaces,

common fixed points,

self-maps,

Cauchy sequence,

contractive conditions

Related subjects:

Mathematics,

General mathematics

© 2016 Poom Kumam, Muhammad Sarwar, Mian Bahadur Zada, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous article Volume 30 (2016): Issue 1 (September 2016)Next article