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Positive fixed points for a class of nonlinear operators and applications
Journal article   Peer reviewed

Positive fixed points for a class of nonlinear operators and applications

Maher Berzig and Bessem Samet
Positivity : an international journal devoted to the theory and applications of positivity in analysis, Vol.17(2), pp.235-255
01/06/2013
DOI: https://doi.org/10.1007/s11117-012-0162-z

Abstract

Mathematics Physical Sciences Science & Technology
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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