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.