Research Communication | Open Access
Volume 2019 | Communication ID 301
Volume 2019 | Communication ID 301
| Measure of noncompactness and fixed point theory |
Kaoutar Elmoussaouy, Samia Bennani, Driss Elmoutawakil
Received |
Accepted |
Published |
Feb 14, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this communication, we present measure of noncompactness and their applications in fixed point theory. The kuratowski, the hausdorff and the weakly noncompactness measure are discussed and their priorities are compared. We present some results concerning standard measures of noncompactness in different spaces including C([a, b];R), Lp([a, b];R). Subsequently, we study different classes of operators, for which we establish fixed point