The Existence of Solutions to Nonlinear Matrix Equations via Fixed Points of Multivalued F -Contractions

Nawab Hussain, Ghada Ali, Iram Iqbal and Bessem Samet
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Nawab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Ghada Ali: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Iram Iqbal: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Bessem Samet: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2020, vol. 8, issue 2, 1-18

Abstract: In this paper, we set up an adequate condition for the presence of a solution of the nonlinear matrix equation. To do so, we prove the existence of fixed points for multi-valued modified F -contractions in the context of complete metric spaces, which generalize, refine, and extend several existing results in the literature. An example is accompanies the obtained results to show that derived results are a proper generalization.

Keywords: F -contraction; fixed points; matrix equation; multi-valued mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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