On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations
Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
Department of Mathematics, Taiz University, Taiz, Yemen
Department of Mathematics, Allama Iqbal Open University, Islamabad 44000, Pakistan
Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Authors to whom correspondence should be addressed.
Received: 9 April 2019 / Revised: 6 May 2019 / Accepted: 10 May 2019 / Published: 17 May 2019
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Note: In lieu of an abstract, this is an excerpt from the first page.
In this paper, we study the behavior of
-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[...]
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Ameer, E.; Nazam, M.; Aydi, H.; Arshad, M.; Mlaiki, N. On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations. Mathematics 2019, 7, 443.
Ameer E, Nazam M, Aydi H, Arshad M, Mlaiki N. On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations. Mathematics. 2019; 7(5):443.
Ameer, Eskandar; Nazam, Muhammad; Aydi, Hassen; Arshad, Muhammad; Mlaiki, Nabil. 2019. "On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations." Mathematics 7, no. 5: 443.
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