General system of -monotone nonlinear variational inclusions problems with applications.

Peng, Jian-Wen; Zhao, Lai-Jun

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We consider the functional equation $f (x f (x)) = ϕ (f (x))$ where $ϕ J \to J$ is a given increasing homeomorphism of an open interval $J \subset (0, \infty)$ and $f (0, \infty) \to J$ is an unknown continuous function. In a series of papers by P. Kahlig and J. Smítal it was proved that the range of any non-constant solution is an interval whose end-points are fixed under $ϕ$ and which contains in its interior no fixed point except for $1$ . They also provide a characterization of the class of monotone solutions and prove a necessary and sufficient condition for...

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Displaying similar documents to “General system of A -monotone nonlinear variational inclusions problems with applications.”

Displaying similar documents to “General system of $A$ -monotone nonlinear variational inclusions problems with applications.”