Positive fixed points for a class of nonlinear operators and applications |
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Authors: | Maher Berzig Bessem Samet |
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Institution: | 1. Université de Tunis, Ecole Supérieure des Sciences et Techniques de Tunis, 5, Avenue Taha Hussein-Tunis, B.P. 56, Bab Menara, 1008, Tunisia
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Abstract: | In this paper, we study the existence and uniqueness of positive solutions for a class of nonlinear operator equations on ordered Banach spaces. Various applications are also considered to illustrate our obtained results (existence of solutions to quadratic integral equations with a linear modification of the argument, positive solution of second-order Neumann boundary value problem, and positive definite solutions of a class of nonlinear matrix equations). |
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