Opuscula Math. 28, no. 3 (2008), 295-311

 
Opuscula Mathematica

Local subdifferentials and multivariational inequalities in Banach and Frechet spaces

Pavlo O. Kasyanov
Valery S. Mel'nik
Anna M. Piccirillo

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

Keywords: local subdifferential, multi-variational inequality, Frechet space.

Mathematics Subject Classification: 47J20, 49J40, 58E30, 54C05, 47H04.

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  • Pavlo O. Kasyanov
  • Kyiv Taras Shevchenko University, Mishuga str. 1/4, app. 362, Kyiv, Ukraine
  • Valery S. Mel'nik
  • Institute of Applied System Analysis, Prospect Peremogy 37, build. 36, app. 203, Kyiv, Ukraine
  • Anna M. Piccirillo
  • Second University of Naples, Aversa, Italy
  • Received: 2005-11-12.
  • Revised: 2007-12-20.
  • Accepted: 2008-02-20.
Opuscula Mathematica - cover

Cite this article as:
Pavlo O. Kasyanov, Valery S. Mel'nik, Anna M. Piccirillo, Local subdifferentials and multivariational inequalities in Banach and Frechet spaces, Opuscula Math. 28, no. 3 (2008), 295-311

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