Local subdifferentials and multivariational inequalities in Banach and Frechet spaces

• Autorzy: Kasyanov P. O. , Mel'nik V. S. , Piccirillo A. M.
• Języki publikacji: EN

Abstrakty

EN

Some functional-topological concepts of subdifferential and locally subdifferential maps in Frechet spaces are established. Multivariational inequalities with an operator of the pseudomonotone type, connected with subdifferential maps, are considered.

Słowa kluczowe

EN

local subdifferential; multi-variational inequality; Frechet space

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 3
• Strony: 295--311
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Kasyanov P. O.

autor

Mel'nik V. S.

autor

Piccirillo A. M.

• Kyiv Taras Shevchenko University, Mishuga str. 1/4 app. 362, Kyiv, Ukraine,

Bibliografia

• [1] B.N. Pshenichniy, Convex analysis and extremum problems, Moscow: Nauka (1980), 317 [in Russian].
• [2] J.-P. Aubin, I. Ekeland, Applied nonlinear analysis, A Valley-Interscience Publication (1988), 512.
• [3] V.F. Dem’yanov, L.V. Vasiliev, Non-differentiated optimization, Moscow: Nauka (1981), 384 [in Russian].
• [4] J.L. Lions, Quaelques methodes de resolution des problemes aux limites non lineaires, Paris: DUNOD GAUTHIER-VILLARS (1969), 587.
• [5] M.Z. Zgurovsky, V.S. Mel’nik, Nonlinear analysis and control of infinite-dimentional systems, Kiev: Naukova dumka (1999), 630 [in Russian].
• [6] J.-P. Aubin, H. Frankowska, Set-valued analysis, Birkhauser (1990), 461.
• [7] A.A. Chikrii, Conflict controlled processes, Cluver academic publishers (1997), 424.
• [8] A.D. Ioffe, V.M. Tichomirov The extremal problems theory, Moscow: Nauka (1974).
• [9] M.Z. Zgurovsky, V.S. Mel’nik, A.N. Novikov, Applied methods of the analysis and control of nonlinear processes and fields, Kiev: Naukova dumka (2004), 590 [in Russian].
• [10] W. Rudin, Functional Analysis, Mc Graw Hill, New York, 1973, 442.
• [11] V.S. Mel’nik, About critical points of some classes multivalued maps, J. Cybernetics and the system analysis, 2 (1997), 87–98.
• [12] M. Reed, B. Simon, Methods of modern mathematical physics, ACAD. PRESS INC. 1 (1980), 400.