Weak contractive integral inequalities and fixed points in modular metric spaces
Abstract Branciari (Int. J. Math. Math. Sci. 29(9):531-536, 2002) gave an interesting supplement of Banach’s contraction principle for an integral-type inequality. In this paper, we introduce different notions of generalized ω-weak contractive inequalities of integral type in modular metric spaces a...
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Online Access: | http://link.springer.com/article/10.1186/s13660-016-1032-1 |
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doaj-7463188d529742b98fd0a096e6ead6f82020-11-24T21:11:33ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-03-012016112010.1186/s13660-016-1032-1Weak contractive integral inequalities and fixed points in modular metric spacesNawab Hussain0Marwan A Kutbi1Nazra Sultana2Iram Iqbal3Department of Mathematics, King Abdulaziz UniversityDepartment of Mathematics, King Abdulaziz UniversityDepartment of Mathematics, University of SargodhaDepartment of Mathematics, University of SargodhaAbstract Branciari (Int. J. Math. Math. Sci. 29(9):531-536, 2002) gave an interesting supplement of Banach’s contraction principle for an integral-type inequality. In this paper, we introduce different notions of generalized ω-weak contractive inequalities of integral type in modular metric spaces and prove the presence and uniqueness of common fixed points for such contractions under ω-weak compatibility of underlying maps. Our results generalize and extend the results of Azadifar et al. (J. Inequal. Appl. 2013:483, 2013), Liu et al. (Fixed Point Theory Appl. 2013:2672013, 2013), Beygmohammadi and Razani (Int. J. Math. Math. Sci. 2010: Article ID 317107, 2010), and many others. Moreover, an example is provided here to demonstrate the applicability of the obtained results.http://link.springer.com/article/10.1186/s13660-016-1032-1modular metric spacefixed pointω-weakly compatible maps |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nawab Hussain Marwan A Kutbi Nazra Sultana Iram Iqbal |
spellingShingle |
Nawab Hussain Marwan A Kutbi Nazra Sultana Iram Iqbal Weak contractive integral inequalities and fixed points in modular metric spaces Journal of Inequalities and Applications modular metric space fixed point ω-weakly compatible maps |
author_facet |
Nawab Hussain Marwan A Kutbi Nazra Sultana Iram Iqbal |
author_sort |
Nawab Hussain |
title |
Weak contractive integral inequalities and fixed points in modular metric spaces |
title_short |
Weak contractive integral inequalities and fixed points in modular metric spaces |
title_full |
Weak contractive integral inequalities and fixed points in modular metric spaces |
title_fullStr |
Weak contractive integral inequalities and fixed points in modular metric spaces |
title_full_unstemmed |
Weak contractive integral inequalities and fixed points in modular metric spaces |
title_sort |
weak contractive integral inequalities and fixed points in modular metric spaces |
publisher |
SpringerOpen |
series |
Journal of Inequalities and Applications |
issn |
1029-242X |
publishDate |
2016-03-01 |
description |
Abstract Branciari (Int. J. Math. Math. Sci. 29(9):531-536, 2002) gave an interesting supplement of Banach’s contraction principle for an integral-type inequality. In this paper, we introduce different notions of generalized ω-weak contractive inequalities of integral type in modular metric spaces and prove the presence and uniqueness of common fixed points for such contractions under ω-weak compatibility of underlying maps. Our results generalize and extend the results of Azadifar et al. (J. Inequal. Appl. 2013:483, 2013), Liu et al. (Fixed Point Theory Appl. 2013:2672013, 2013), Beygmohammadi and Razani (Int. J. Math. Math. Sci. 2010: Article ID 317107, 2010), and many others. Moreover, an example is provided here to demonstrate the applicability of the obtained results. |
topic |
modular metric space fixed point ω-weakly compatible maps |
url |
http://link.springer.com/article/10.1186/s13660-016-1032-1 |
work_keys_str_mv |
AT nawabhussain weakcontractiveintegralinequalitiesandfixedpointsinmodularmetricspaces AT marwanakutbi weakcontractiveintegralinequalitiesandfixedpointsinmodularmetricspaces AT nazrasultana weakcontractiveintegralinequalitiesandfixedpointsinmodularmetricspaces AT iramiqbal weakcontractiveintegralinequalitiesandfixedpointsinmodularmetricspaces |
_version_ |
1716753136850305024 |