Cooperative behavior of functions, relations and sets

Jean-Paul Penot

Mathematical Methods of Operations Research, 1998, vol. 48, issue 2, 229-246

Abstract: One of the main difficulties in nonsmooth analysis is to devise calculus rules. It is our purpose here to show that a certain cooperative behavior between functions (resp. sets, resp. multifunctions) yields calculus rules for subdifferentials (resp. normal cones, resp. coderivatives). In previous contributions, the qualification conditions ensuring calculus rules were given in a non symmetric way. The new conditions can be combined easily and encompass various criteria. We also address the important question of the extension of calculus rules from the Lipschitz case to the general case. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Alliedness; coderivative; homotone; normal; normal compactness; quasi-homotone; subdifferential; synergy (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s001860050025

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