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

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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About the authors ▼
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
About the article ▼
Received: 2005-11-12.
Revised: 2007-12-20.
Accepted: 2008-02-20.
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, http://dx.doi.org/10.7494/OpMath.2008.28.3.295.
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