Fixed point theorems of block operator matrices on Banach algebras and an application to functional integral equations
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Publication:4917317
DOI10.1002/MMA.2615zbMath1285.47064OpenAlexW2088345980MaRDI QIDQ4917317
Najib Kaddachi, Aref Jeribi, Bilel Krichen
Publication date: 29 April 2013
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2615
Numerical methods for integral equations (65R20) Banach algebras of continuous functions, function algebras (46J10) Fixed-point theorems (47H10) Index theory and related fixed-point theorems on manifolds (58J20)
Related Items (14)
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 ⋮ Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type ⋮ Unnamed Item ⋮ Existence results for a coupled system of perturbed functional differential inclusions in Banach algebras ⋮ 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 ⋮ Measures of weak noncompactness, nonlinear leray-schauder alternatives in banach algebras satisfying condition (p) and an application ⋮ Generalized form of fixed point theorems in Banach algebras under weak topology with an application ⋮ Existence of solutions for a system of Chandrasekhar’s equations in Banach algebras underweak topology ⋮ Solvability of a 2 x 2 block operator matrix of chandrasekhar type on a Bananch algebra ⋮ Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra ⋮ Equivalence of some properties in the theory of Banach algebras and applications
Cites Work
- New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations
- Local fixed point theory involving three operators in Banach algebras
- Remarks on two fixed-point theorems involving the sum and the product of two operators
- Existence of nondecreasing and continuous solutions of an integral equation with linear modification of the argument
- On a fixed point theorem in Banach algebras with applications
- A fixed-point theorem of Krasnoselskii
- Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg’s model type
- On Nonlinear Contractions
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