Fixed Points of Non-Smooth Functions on Finite Dimensional Ordered Banach Spaces via Clarke Generalized Jacobian

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-- Zohari, -- Mardanbeigi, Fixed Points of Non-Smooth Functions on Finite Dimensional Ordered Banach Spaces via Clarke Generalized Jacobian, Int. J. Anal. Appl., 17 (5) (2019), 850-863.

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-- Zohari, -- Mardanbeigi

Abstract

Considering Lipschitz functions which are not necessarily Fr ´echet differentiable, we obtain a non-smooth version of Lakshmikantham's theorem in finite dimensional ordered Banach spaces . We also present an application of the obtained result in dynamical Coulomb friction problem.

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