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Variational and Monotonicity Methods in Nonsmooth Analysis (Paperback, 1st ed. 2021)
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Variational and Monotonicity Methods in Nonsmooth Analysis (Paperback, 1st ed. 2021)
Series: Frontiers in Mathematics
Expected to ship within 10 - 15 working days
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This book provides a modern and comprehensive presentation of a
wide variety of problems arising in nonlinear analysis, game
theory, engineering, mathematical physics and contact mechanics. It
includes recent achievements and puts them into the context of the
existing literature. The volume is organized in four parts. Part I
contains fundamental mathematical results concerning convex and
locally Lipschits functions. Together with the Appendices, this
foundational part establishes the self-contained character of the
text. As the title suggests, in the following sections, both
variational and topological methods are developed based on critical
and fixed point results for nonsmooth functions. The authors employ
these methods to handle the exemplary problems from game theory and
engineering that are investigated in Part II, respectively Part
III. Part IV is devoted to applications in contact mechanics. The
book will be of interest to PhD students and researchers in applied
mathematics as well as specialists working in nonsmooth analysis
and engineering.
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