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Alexander J. Zaslavski, "Optimization on Metric and Normed Spaces"

The monograph is devoted to the study of optimization problems on com-

plete metric spaces and Banach spaces. It contains a number of recent results

obtained by the author in the last ten years. It is a well-known fact that so-

lutions exist for minimization problems on compact metric spaces with lower

semicontinuous objective functions. Solutions also exist for minimization prob-

lems on metric spaces such that all their bounded closed subsets are compact

if objective functions are lower semicontinuous and satisfy a coercivity growth

condition. Since in the book we do not use compactness assumptions on spaces

where optimization problems are considered the situation becomes more di±-

cult. We overcome this di±culty in the following way: in Chapters 2 and 3 we

deal with approximate solutions of optimization problems which always exist

and in Chapters 4{10 we use the so-called generic approach which is applied

fruitfully in many areas of Analysis (see, for example, [3, 74, 130] and the

references mentioned there).

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	Set Theory and Metric Spaces Set Theory and Metric Spaces Publisher: Chelsea Pub Co \| ISBN: 0828402981 \| edition 1977 \| DJVU \| 140 pages \| 1,6 mbThis book is based on notes from a course on set theory and metric spaces taught by Edwin Spanier, and also incorporates wi ...
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