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  1. No Access

    Article

    Distance Function Associated to a Prox-regular set

    In this paper, we provide in a general Hilbert space new characterizations of uniform prox-regularity involving outside but sufficiently close points of considered sets. We show that the complement of a prox-r...

    Florent Nacry, Lionel Thibault in Set-Valued and Variational Analysis (2022)

  2. Article

    Open Access

    History-dependent operators and prox-regular swee** processes

    We consider an abstract inclusion in a real Hilbert space, governed by an almost history-dependent operator and a time-dependent multimap** with prox-regular values. We establish the unique solvability of th...

    Florent Nacry, Mircea Sofonea in Fixed Point Theory and Algorithms for Scie… (2022)

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  3. No Access

    Article

    A Class of Nonlinear Inclusions and Swee** Processes in Solid Mechanics

    We consider a new class of inclusions in Hilbert spaces for which we provide an existence and uniqueness result. The proof is based on arguments of monotonicity, convexity and fixed point. We use this result t...

    Florent Nacry, Mircea Sofonea in Acta Applicandae Mathematicae (2021)

  4. No Access

    Article

    Truncated nonconvex state-dependent swee** process: implicit and semi-implicit adapted Moreau’s catching-up algorithms

    In this paper, we deal with the existence of solutions for perturbed state-dependent Moreau’s swee** processes. Two ways are investigated to realize such a study, depending on the nature of the used scheme, ...

    Florent Nacry in Journal of Fixed Point Theory and Applications (2018)