Epigraphical convergence of functions and converge of their derivatives in Banach spaces Exp ,
Subsmooth sets : functional characterizations and related concepts, Transactions of the American Mathematical Society, vol.357, issue.04, pp.1275-1301, 2005. ,
DOI : 10.1090/S0002-9947-04-03718-3
The problem of convexity of Chebyshev sets, Russian Math, Surveys, vol.51, pp.1127-1190, 1996. ,
Proximal analysis in smooth spaces, Set- Valued Anal, pp.1-24, 1996. ,
Convex Functions, Constructions, Characterizations and counterexamples, 2010. ,
DOI : 10.1017/CBO9781139087322
Proximal analysis and Boundaries of closed sets in Banach space, part 2 : Application, Can, J. Math, pp.39-428, 1987. ,
Contributions to the theory of convex point sets, 1934. ,
Solutions of lower semicontinuous differential Inclusions on closed sets, Rend. Sem. Mat. Univ. Padova, vol.69, 1983. ,
Directionally continuous selections and differential inclusions, Funkcial. Ekvac, issue.3, pp.31-459470, 1988. ,
Weak flow-invariance for nonconvex differential inclusions, Differential Integral Equations, vol.5, issue.1, pp.173-180, 1992. ,
Regular properties of tangent and normal cones, Thesis, 1980. ,
On existence of solutions of some type of differential inclusions on a compact set, Math. J, pp.31-33, 1991. ,
Limits superior of subdifferentials of uniformly convergent func-tions in Banach spaces, Positivity, vol.3, issue.1, pp.33-47, 1999. ,
DOI : 10.1023/A:1009740914637
Convexity of Chebyshev sets, Mathematische Annalen, vol.111, issue.3, pp.292-304, 1961. ,
DOI : 10.1007/BF01353420
A partial extension of Attouch's theorem and its applications to second-order differentiation, Trans. Amer. Math. Soc, vol.347, pp.1269-1294, 1995. ,
Sur quelques propriétés caracteristiques des ensembles bornes non convexes, Rend, Reale Acad. Lincei, Classe Sci. Fis., Nat, vol.21, pp.773-779, 1935. ,
An Extension of Attouch's Theorem and Its Application to Second-Order Epi-Differentiation of Convexly Composite Functions, Transactions of the American Mathematical Society, vol.332, issue.2, pp.861-874, 1992. ,
DOI : 10.2307/2154200
Directionally Lipschitz functions and subdifferential calculus, Proc. London Math. Soc, pp.331-355, 1979. ,
A new characterization of Clarke's tangent cone and its application to subgradient analysis and optimization, 1983. ,
Characterization of Clarke's tangent and normal cones in finite and infinite dimensions, Nonlinear Analysis: Theory, Methods & Applications, vol.7, issue.7, pp.771-783, 1983. ,
DOI : 10.1016/0362-546X(83)90033-0
On Chebyshev sets in Banach spaces, Dokl. Akad. Nauk SSSR, vol.141, pp.19-20, 1967. ,
Convergence of the Associated Sequence of Normal Cones of a Mosco Convergent Sequence of Sets, SIAM Journal on Optimization, vol.22, issue.3, pp.758-771, 2012. ,
DOI : 10.1137/110851158
Variational convergence for functions and operators, Applicable Mathematics Series, 1984. ,
Epigraphical convergence of functions and converge of their derivatives in Banach spaces Exp, Sem. Anal. Convexe (Montpellier), vol.20, issue.9, pp.1-9, 1990. ,
Convergence en analyse multivoque et variationnelle, Matapli, vol.36, pp.22-39, 1993. ,
Quantitative stability of variational systems , I : The epigraphical distance, Trans. Amer. Math. Soc, vol.338, pp.695-729, 1991. ,
Subsmooth sets : functional characterizations and related concepts, Transactions of the American Mathematical Society, vol.357, issue.04, pp.1275-1301, 2005. ,
DOI : 10.1090/S0002-9947-04-03718-3
Topologies on Closed and Closed Convex Sets, 1993. ,
DOI : 10.1007/978-94-015-8149-3
Prox-regular functions in Hilbert spaces, Journal of Mathematical Analysis and Applications, vol.303, issue.1, pp.217-240, 2004. ,
DOI : 10.1016/j.jmaa.2004.06.003
Characterization of prox-regular sets in uniformly convex Banach spaces, J. Convex Anal, vol.13, pp.525-559, 2006. ,
Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties, Transactions of the American Mathematical Society, vol.363, issue.04, pp.2211-2247, 2011. ,
DOI : 10.1090/S0002-9947-2010-05261-4
Proximal analysis and boundaries of closed sets in Banch space. II : Applications, Canad, J. Math, vol.39, pp.428-472, 1987. ,
Proximal smoothness and the lower C 2 property, J. Convex Anal, vol.2, pp.117-144, 1995. ,
Variational inequalities and regularity properties of closed sets in Hilbert spaces, J. Convex Anal, vol.8, pp.197-221, 2001. ,
Prox-regular sets and applications, in Handbook of Nonconvex Analysis, 2010. ,
Convergence of subdifferentials of convexly composite functions, Canad, J. Math, vol.51, pp.250-265, 1999. ,
On the graph convergence of subdifferentials of convex functions, Proc. Amer, pp.2231-2240, 1998. ,
An Introduction to ?-Convergence, Birkh´'Birkh´Birkh´'auser, Bassel, 1993. ,
Nearest points to closed sets and directional derivatives of distance functions, Bulletin of the Australian Mathematical Society, vol.22, issue.02, pp.233-238, 1989. ,
DOI : 10.2307/2044798
Proximal Analysis and Approximate Subdifferentials, Journal of the London Mathematical Society, vol.2, issue.1, pp.41-175, 1990. ,
DOI : 10.1112/jlms/s2-41.1.175
Limits superior of subdifferentials of uniformly convergent func-tions in Banach spaces, Positivity, vol.3, issue.1, pp.33-47, 1999. ,
DOI : 10.1023/A:1009740914637
Differential properties of the Moreau envelope, Journal of Functional Analysis, vol.266, issue.3 ,
DOI : 10.1016/j.jfa.2013.11.008
Almost Chebyshev subsets in reflexive Banach spaces, Indiana Univ, Math. J, vol.27, pp.791-795, 1978. ,
A partial extension of Attouch's theorem and its applications to second-order differentiation, Trans. Amer. Math. Soc, vol.347, pp.1269-1294, 1995. ,
An Introduction to Banach Space Theory, 1998. ,
DOI : 10.1007/978-1-4612-0603-3
Variational Analysis and Generalized Differentiation I, Grundlehren der Mathematischen Wissenschaften, 2005. ,
Calculus Without Derivatives, Graduate Texts in Mathematics, vol.266, 2013. ,
DOI : 10.1007/978-1-4614-4538-8
URL : https://hal.archives-ouvertes.fr/hal-01451220
Integration of subdifferentials of nonconvex functions, Nonlinear Anal, pp.385-398, 1991. ,
An Extension of Attouch's Theorem and Its Application to Second-Order Epi-Differentiation of Convexly Composite Functions, Transactions of the American Mathematical Society, vol.332, issue.2, pp.861-874, 1992. ,
DOI : 10.2307/2154200
Prox-regular functions in variational analysis, Transactions of the American Mathematical Society, vol.348, issue.05, pp.1805-1838, 1996. ,
DOI : 10.1090/S0002-9947-96-01544-9
Local differentiability of distance functions, Transactions of the American Mathematical Society, vol.352, issue.11, pp.5231-5249, 2000. ,
DOI : 10.1090/S0002-9947-00-02550-2
Primal lower nice property of value functions in optimization and control problems, Set-Valued Var, Anal, pp.1-35, 2010. ,
Some examples concerning rotundity in Banach spaces, Mathematische Annalen, vol.27, issue.2, pp.155-161, 1978. ,
DOI : 10.1007/BF01421923
On the weak* convergence of subdifferentials of convex functions, J. Convex Anal, vol.12, pp.213-219, 2005. ,
A weak* approximation of subgradient of convex function, Control Cybern, pp.793-802, 2007. ,
Convergence of the Associated Sequence of Normal Cones of a Mosco Convergent Sequence of Sets, SIAM Journal on Optimization, vol.22, issue.3, pp.758-771, 2012. ,
DOI : 10.1137/110851158
Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions Mathematical analysis and applications, Part A, Adv. in Math, pp.159-229, 1981. ,
Set-valued analysis, 1990. ,
Proximal analysis in smooth spaces, Set- Valued Anal, pp.1-24, 1996. ,
Proximal analysis and Boundaries of closed sets in Banach space, part 1 : Theory, Can, J. Math, pp.38-431, 1986. ,
Proximal analysis and Boundaries of closed sets in Banach space, part 2 : Application, Can, J. Math, pp.39-428, 1987. ,
Regular properties of tangent and normal cones, Thesis, 1980. ,
Smoothness and Renorming in Banach Spaces, Pitman Monographs and Surveys in Pure and Appl, Math, 1993. ,
The Clarke's tangent cone and the limits of tangent cones, Publ. Math. Pau, pp.1-11, 1983. ,
Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss, Acta Univ. Carolina, Ser. Math. Phys, vol.30, pp.51-56, 1989. ,
Nonsmooth characterizations of Asplund spaces and smooth variational principles, Set-Valued Anal, pp.381-406, 1998. ,
A Counterexample to Several Questions about Scattered Compact Spaces, Bulletin of the London Mathematical Society, vol.22, issue.3, pp.261-268, 1990. ,
DOI : 10.1112/blms/22.3.261
Codirectional compactness, metric regularity and subdifferential calculus, Constructive, Experimental and Nonlinear Analysis, 2000. ,
Metric regularity and subdifferential calculus, Russian Mathematical Surveys, vol.55, issue.3, pp.55-501, 2000. ,
DOI : 10.1070/RM2000v055n03ABEH000292
The role of locally compact cones in nonsmooth analysis, Comm. Appl. Nonlinear Anal, vol.5, issue.2, pp.1-35, 1998. ,
A characterization of tangential regularity, Nonlinear Anal, pp.625-663, 1981. ,
Calcul sous-differentiel et optimisation, Journal of Functional Analysis, vol.27, issue.2, pp.248-276, 1978. ,
DOI : 10.1016/0022-1236(78)90030-7
Convex Functions, Monotone Operators and Differntiability, Lecture Notes in Mathematics, 1993. ,
DOI : 10.1007/978-3-662-21569-2
Directionally Lipschitz functions and subdifferential calculus, Proc. London Math. Soc, pp.331-355, 1979. ,
DOI : 10.1112/plms/s3-39.2.331
URL : http://plms.oxfordjournals.org/cgi/content/short/s3-39/2/331
A new characterization of Clarke's tangent cone and its application to subgradient analysis and optimization, 1983. ,
Characterization of Clarke's tangent and normal cones in finite and infinite dimensions, Nonlinear Analysis: Theory, Methods & Applications, vol.7, issue.7, pp.771-783, 1983. ,
DOI : 10.1016/0362-546X(83)90033-0
Chebyshev sets in Hilbert spaces, Trans. Amer. Math. Soc. MR, vol.144, issue.40, pp.235-2406238, 1969. ,
Narang A look at Proximinal and Chebyshev sets in Banach spaces, Le Matematica, vol.69, issue.1, pp.71-87, 2014. ,
The problem of convexity of Chebyshev sets, Russian Math, Surveys, vol.51, pp.1127-1190, 1996. ,
Contributions to the theory of convex point sets, 1934. ,
Convex Functions, Constructions, Characterizations and counterexamples, 2010. ,
DOI : 10.1017/CBO9781139087322
Metric projections and the differentiability of distance functions, Bulletin of the Australian Mathematical Society, vol.8, issue.02, pp.291-312, 1980. ,
DOI : 10.1512/iumj.1978.27.27051
Some property of Chebyshev sets, Dokl. Akad. Nauk SSSR, vol.118, pp.17-18, 1958. ,
A Characterization of Convex Sets, The American Mathematical Monthly, vol.56, issue.4, pp.247-249, 1949. ,
DOI : 10.2307/2304766
Convex bodies and periodic homeomorphisms in Hilbert space, Transactions of the American Mathematical Society, vol.74, issue.1, pp.10-43, 1953. ,
DOI : 10.1090/S0002-9947-1953-0054850-X
Convexity of Chebyshev sets, Mathematische Annalen, vol.111, issue.3, pp.292-304, 1961. ,
DOI : 10.1007/BF01353420
Sur quelques propriétés caracteristiques des ensembles bornes non convexes, Rend, Reale Acad. Lincei, Classe Sci. Fis., Nat, vol.21, pp.773-779, 1935. ,
Connectivity of certain classes of sets in Banach spaces, Mat. Zametki English transl. in Math. Notes, vol.40, issue.40, pp.174-196, 1986. ,
On Chebyshev sets in Banach spaces, Dokl. Akad. Nauk SSSR, vol.141, pp.19-20, 1967. ,
Chebyshev sets and approximately convex sets, Mathematical Notes of the Academy of Sciences of the USSR, vol.7, issue.No. 4, pp.191-200, 1967. ,
DOI : 10.1007/BF01094253
Almost convex and Chebyshev sets, Mathematical Notes of the Academy of Sciences of the USSR, vol.7, issue.No. 5, pp.776-779, 1970. ,
DOI : 10.1007/BF01146931
On the best approximation in real Hilbert spaces, submitted [17] D.E. Wulbert, Continuity of metric projections. Approximation theory in a normed linear lattice, Thesis, 1966. ,