Texas A&M University, Department of Mathematics
Kingsville, TX 78363, USA
email: verma99@msn.com
Ram U. Verma
Abstract:
First, general frameworks for the first-order evolution
inclusions are developed based on the A-maximal relaxed
monotonicity, and then using the Yosida approximation the
solvability of a general class of first-order nonlinear evolution
inclusions is investigated. The role the A-maximal relaxed
monotonicity is significant in the sense that it not only empowers
the first-order nonlinear evolution inclusions but also
generalizes the existing Yosida approximations and its
characterizations in the current literature.
Submitted December 25, 2010. Published April 11, 2011.
Math Subject Classifications: 49J40, 65B05.
Key Words: Generalized first-order evolution inclusions; variational problems;
maximal monotone mapping; A-maximal relaxed monotone mapping;
generalized resolvent operator; general Yosida approximations.
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Ram U. Verma Texas A&M University, Department of Mathematics Kingsville, TX 78363, USA email: verma99@msn.com |
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