Research Communication | Open Access
Volume 2020 | Communication ID 200 |

Fixed Point Theorems of Block Operator Matrix Under Weak Topology

Mohamed Amine Farid, Chaira Karim, Marhrani El Miloudi, Aamri Aamri
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
31 January 2020
15 February 2020
10 March 2020

Abstract: Fixed point theory is one of the famous theories in mathematics and has a large number of application in various fields of pure and applied mathematics. In this work, we study some fixed point theorems of a 2×2 block operator matrix defined on nonempty bounded closed convex subset of Banach algebras, where the entries are nonlinear operators. These results are formulated in terms of weak topology and measures of weak noncompctness.