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

被引：10

作者：

Hussain, Nawab ^{[1
]}

Ali, Ghada ^{[1
]}

Iqbal, Iram ^{[2
]}

Samet, Bessem ^{[3
]}

机构：

[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[3] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICS | 2020年 / 8卷 / 02期

关键词：

F-contraction; fixed points; matrix equation; multi-valued mapping; THEOREMS; MAPPINGS;

D O I：

10.3390/math8020212

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：18