On fixed points of (\(\eta,\theta\))-quasicontraction mappings in generalized metric spaces

Volume 9, Issue 6, pp 4651--4658 http://dx.doi.org/10.22436/jnsa.009.06.104

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Authors

Habes Alsamir - School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia. Mohd Salmi MD Noorani - School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia. Wasfi Shatanawi - Department of Mathematics, Hashemite University, Zarqa 1315, Jordan. - Department of Mathematics and general courses, Prince Sultan University, Riyadh, Saudi Arabia.

Abstract

We establish some fixed point results for mappings satisfying (\(\eta,\theta\))-quasicontraction condition in complete generalized metric spaces. Our results generalize many others. An example is provided to support our work.

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Keywords

• (\(\eta،\theta\))-quasicontraction mappings
• (\(\eta،\theta\))-contraction mappings
• complete generalized metric spaces.

MSC

•  54H25
•  47H10

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