By Aref Jeribi,Bilel Krichen
Uncover the beneficial Interactions of fastened element conception with Topological Structures
Nonlinear useful research in Banach areas and Banach Algebras: mounted aspect idea lower than susceptible Topology for Nonlinear Operators and Block Operator Matrices with Applications is the 1st publication to take on the topological mounted element idea for block operator matrices with nonlinear entries in Banach areas and Banach algebras. The booklet presents researchers and graduate scholars with a unified survey of the elemental rules of mounted aspect thought in Banach areas and algebras.
The authors current numerous extensions of Schauder’s and Krasnosel’skii’s mounted aspect theorems to the category of weakly compact operators performing on Banach areas and algebras, fairly on areas enjoyable the Dunford–Pettis estate. additionally they handle less than which stipulations a 2×2 block operator matrix with unmarried- and multi-valued nonlinear entries can have a hard and fast point.
In addition, the e-book describes functions of mounted aspect thought to quite a lot of various equations, together with shipping equations coming up within the kinetic thought of fuel, desk bound nonlinear organic versions, two-dimensional boundary-value difficulties coming up in growing to be mobilephone populations, and practical platforms of imperative equations. The booklet specializes in fastened element effects lower than the susceptible topology because those difficulties contain the lack of compactness of mappings and/or the lacking geometric and topological constitution in their underlying domain.
Read or Download Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices ... and Research Notes in Mathematics) PDF
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