Browsing by Author "Mechrouk, Salima"
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Item Existence and multiplicity of positive unbounded solutions for singular BVPs with the φ-Laplacian operator on the half line(2022) Attia, Chahira; Mechrouk, Salima; Saifi, OuizaWe provide in this work sufficient conditions for existence and multiplicity of positive unbounded solutions for a class of singular second-order boundary value problem associated with a φ-Laplacian operator and posed on the half-line. The proofs are based on a theo- rem of cone expansion and compression in a Banach space.Item Fixed point theorems in the study of operator equations in ordered Banach spaces and their applications(2021) Mechrouk, SalimaWe use fixed point index properties and the general minorant principle (see Theorem 7.B in [12]) to prove new fixed point theorems for operators leaving invariant a cone in a Banach space. Main ideas of this work are inspired from the work in [11]. The results obtained are used to prove existence of at least one positive solution to a φ−laplacian boundary value problem.Item Fixed point theorems in the study of positive strict set-contractions(Universidad Catolica del Norte, 2021) Mechrouk, SalimaThe author uses fixed point index properties and Inspired by the work in Benmezai and Boucheneb (see Theorem 3.8 in [3]) to prove new fixed point theorems for strict set-contraction defined on a Banach space and leaving invariant a coneItem Positive solution to the nonlinear abstract hammerstein equation and applications to φ -Laplacian BVPs(Springer, 2013) Benmezai, Abdelhamid; Mechrouk, Salima