Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg’s model type

DOI10.2478/s12175-013-0193-3zbMath1324.47091OpenAlexW2001539744MaRDI QIDQ5411229

Aref Jeribi, Afif Ben Amar, Bilel Krichen

Publication date: 22 April 2014

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-013-0193-3

zbMATH Keywords

fixed point theoryoperator matrixgrowing cell populations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (13)

Existence results for a system of nonlinear operator equations and block operator matrices in locally convex spaces ⋮ Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application ⋮ Leray-Schauder fixed point theorems for block operator matrix with an application ⋮ Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness ⋮ Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type ⋮ Existence of solutions of a two-dimensional boundary value problem for a system of nonlinear equations arising in growing cell populations ⋮ Existence results for a coupled system of perturbed functional differential inclusions in Banach algebras ⋮ Fixed point theorems of block operator matrices on Banach algebras and an application to functional integral equations ⋮ The Kachurovskij spectrum of Lipschitz continuous nonlinear block operator matrices ⋮ Fixed-point theorems for multivalued operator matrix under weak topology with an application ⋮ New fixed point theorems for countably condensing maps with an application to functional integral inclusions ⋮ On inequalities for eigenvalues of 2 × 2 matrices with Schatten–von Neumann entries ⋮ Solvability of a 2 x 2 block operator matrix of chandrasekhar type on a Bananch algebra

Cites Work

• On maps: Continuous, closed, perfect, and with closed graph
• A fixed-point theorem of Krasnoselskii
• Some Fixed Point Theorems and Application to Biological Model

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