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On (Λ,Υ,)-Contractions and Applications to Nonlinear Matrix Equations

1
Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
2
Department of Mathematics, Taiz University, Taiz, Yemen
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Department of Mathematics, Allama Iqbal Open University, Islamabad 44000, Pakistan
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Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
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China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan
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Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Authors to whom correspondence should be addressed.
Mathematics 2019, 7(5), 443; https://doi.org/10.3390/math7050443
Received: 9 April 2019 / Revised: 6 May 2019 / Accepted: 10 May 2019 / Published: 17 May 2019
PDF [292 KB, uploaded 17 May 2019]
Note: In lieu of an abstract, this is an excerpt from the first page.

Excerpt

In this paper, we study the behavior of Λ , Υ , -contraction mappings under the effect of comparison functions and an arbitrary binary relation. We establish related common fixed point theorems. We explain the significance of our main theorem through examples and an application to a solution for the following nonlinear matrix equations[...]
Keywords: fixed point; binary relation; Λ-contraction; comparison function; nonlinear matrix equation fixed point; binary relation; Λ-contraction; comparison function; nonlinear matrix equation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ameer, E.; Nazam, M.; Aydi, H.; Arshad, M.; Mlaiki, N. On (Λ,Υ,)-Contractions and Applications to Nonlinear Matrix Equations. Mathematics 2019, 7, 443.

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