Common fixed point theorems for rational FR $F_{\mathcal{R}}$-contractive pairs of mappings with applications
Abstract In this paper, we study the existence of solution for the following non-linear matrix equations: X=Q+∑i=1nAi∗XAi−∑i=1nBi∗XBi,X=Q+∑i=1nAi∗ϒ(X)Ai, $$\begin{aligned}& X=Q+ \sum^{n}_{i=1} A^{*}_{i} X A_{i}- \sum ^{n}_{i=1} B^{*}_{i} X B_{i}, \\& X=Q+ \sum^{n}_{i=1} A^{*}_{i} \varUpsilon...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1952-z |