Bilel Mefteh - Academia.edu (original) (raw)

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Papers by Bilel Mefteh

Research paper thumbnail of Existence of solution of nonlinear integral equation in L1loc R+)

2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020

In this paper, we discuss the solvability of a type of nonlinear integral equation in the Fréchet... more In this paper, we discuss the solvability of a type of nonlinear integral equation in the Fréchet space Lloc1(mathbbR+)L_{loc}^1 (\mathbb{R}^ +)Lloc1(mathbbR+). This work is an application of some fixed point results developed in [2] for a Hausdorff locally convex spaces.

Research paper thumbnail of Existence of Solutions for an Infinite System of Quadratic Integral Equations in the Banach Algebra <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>C(I,c_0)$$C(I,c0)

Mediterranean Journal of Mathematics, 2019

The paper is devoted to prove the existence of solutions for an infinite system of nonlinear quad... more The paper is devoted to prove the existence of solutions for an infinite system of nonlinear quadratic integral equations. This system is investigated in the WC-Banach algebra C0 = C(I, c0), consisting of all continuous functions acting from an interval I into the sequence space c0. The assumptions imposed on the operators involving the system are formulated in terms of a generalized Lipschitz continuity.

Research paper thumbnail of Existence of solution of nonlinear integral equation in L1loc R+)

2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020

In this paper, we discuss the solvability of a type of nonlinear integral equation in the Fréchet... more In this paper, we discuss the solvability of a type of nonlinear integral equation in the Fréchet space Lloc1(mathbbR+)L_{loc}^1 (\mathbb{R}^ +)Lloc1(mathbbR+). This work is an application of some fixed point results developed in [2] for a Hausdorff locally convex spaces.

Research paper thumbnail of Existence of Solutions for an Infinite System of Quadratic Integral Equations in the Banach Algebra <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow></mrow><annotation encoding="application/x-tex"></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"></span></span>C(I,c_0)$$C(I,c0)

Mediterranean Journal of Mathematics, 2019

The paper is devoted to prove the existence of solutions for an infinite system of nonlinear quad... more The paper is devoted to prove the existence of solutions for an infinite system of nonlinear quadratic integral equations. This system is investigated in the WC-Banach algebra C0 = C(I, c0), consisting of all continuous functions acting from an interval I into the sequence space c0. The assumptions imposed on the operators involving the system are formulated in terms of a generalized Lipschitz continuity.

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