Compactly epi-lipschitzian sets and a-subdifferentials in wt-spaces

References

• Borwein , J.M. 1986 . Stability and regular points of inequality systems . J.Optim.Th. Appl , 48 : 9 – 52 .
   Web of Science ®Google Scholar
• Borwein , J.M. 1987 . Epl-lipschltz-like sets in Banach space: theoreines and examples . Nonlinrar Anal Theory Methods Appl , 11 : 1207 – 1217 .
   Web of Science ®Google Scholar
• Borwein , J.M. and Strojwas , H.M. 1985 . Tangential approximations . Nonlinear Anal.Theory :Metods Appl , 9 : 1347 – 1366 .
   Web of Science ®Google Scholar
• Borwein , J.M. and Strojwas , H.M. 1986 . Proximal analysis and boundaries of closed sets in Banach space. Part I . Theory,Can.J.Math , 38 : 431 – 452 .
   Web of Science ®Google Scholar
• Brokate , M. 1980 . A regularity condition for optimization in Banach spaces: Counter examples . Appl. Math. Optim , 6 : 189 – 192 .
   Google Scholar
• Clarke , F.H. 1983 . “ Optimization and nonsmooth analysis ” . New York : John Wiley and Sons .
   Google Scholar
• Cobzas , S. and Muntean , I. 1976 . Continuous and locally Lipschitz convex functions . Mathernurica,Tome , 18 ( 41 ) : 41 – 51 .
   Google Scholar
• Cornet , B. 1981 . Regular properties of tangent and normal cones , Université de Paris-Dauphine . Thesis
   Google Scholar
• Hiriart-Urruty , J-B. 1979 . Tangent cones, generalized gradients and mathematical programming . Math.Oper.Res , 4 : 79 – 97 .
   Google Scholar
• loffe , A.D. 1986 . Approximate subdifferentials and applications 2: Functions on locally convex spaces . Mathematika , 33 : 111 – 128 .
   Google Scholar
• Ioffe , A.D. 1989 . Approxiniate subdifferentials and applications 3: Metric theory . Mathematika , 36 : 1 – 38 .
   Google Scholar
• Ioffe , A.D. 1983 . On subdifferentiability spaces . Ann.N.Y.Acad.Sci , 4 : 107 – 120 .
   Google Scholar
• Jourani , A. 1994 . Qualification conditions for multivalued functions in Banach spaces with applica- tions to nonsmooth vector optimization problems . Math.Prog , 66 : 1 – 23 .
   Web of Science ®Google Scholar
• Jourani , A. and Thibault , L. 1990 . Approximate subdifferential and metric regularity: finite dimen- sional case . Math. Prog , 47 : 203 – 218 .
   Web of Science ®Google Scholar
• Jourani , A. and Thibault , L. 1993 . Approximations and metric regularity in mathematical program-ming in Banach space . Math.Oper.Res , 18 : 390 – 401 .
   Web of Science ®Google Scholar
• Jourani , A. and Thibault , L. 1995 . Metric regularity for strongly compactly Lipschitzian mappings . Vonlinear Anal. Theory .Vethods Appl , 24 : 229 – 240 .
   Google Scholar
• Jourani , A. and Thibault , L. 1995 . Extentions of subdifferential calculus rules in Banach spaces and applications . Can.J.Math. , To appear
   Google Scholar
• Loewen , P.D. 1990 . Limits of Fréchet normals in nonsrnooth analysis, Optimization and nonlinear analysis Edited by: Ioffe , A. and Marcus , M. 178 – 188 . Pitman Research ,Notes in.Mathematics Series
   Google Scholar
• Penot , J.P. 1981 . A characterization of tangential regularity . Nonlinear Anal. Theory. Methods Appl , 5 : 625 – 663 .
   Web of Science ®Google Scholar
• Rockafellar , R.T. 1979 . Clarke's tangent cones and boundaries of closed sets in R n . .Nonlinear Anal.Theory Methods Appl , 3 : 145 – 154 .
   Google Scholar
• Rockafellar , R.T. 1979 . Directionally lipschitzian functions and subdifferential calculus . Proc. London.Math. Soc , 39 : 331 – 355 .
   Web of Science ®Google Scholar
• Rockafellar , R.T. 1980 . Generalized directional derivatives and subgradients of non-convex functions . Can.J.Math , 32 : 157 – 180 .
   Google Scholar
• Rockafellar , R.T. 1985 . Lipschitz property of multifunctions . Nonlinear Anal. Theory,Methods Appl , 9 : 867 – 885 .
   Web of Science ®Google Scholar
• Treiman , T.S. 1983 . Characterization of Clarke's tangent and normal cones in finite and infinite dimensions . Nonlinear Anal.Theory Methods Appl , 7 : 771 – 783 .
   Web of Science ®Google Scholar