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.
- 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.
