From Global Optimization to Rough Analysis <BR>

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Hoang Xuan Phu <BR>
Institute of Mathematics<BR>
Vietnamese Academy of Science and Technology<BR>

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Abstract: <BR>

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The so-called Rough Analysis is an approach to rough worlds
which do not have fine behaviors, e.g.,
things of the material universe or
objects represented by digital computers.

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This talk begins with the starting module of the Rough Analysis,
namely the gamma-subdifferential and the gamma-convexity,
which were introduced to state necessary and sufficient conditions
for global minimizers of not necessarily continuous functions.

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After that, some basic ideas of the Rough Analysis
are presented by some of its building blocks, such as
rough convexity, rough convergence, rough continuity,
and fixed-point theorems of roughly continuous mappings.