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Inequality problems of quasi-hemivariational type involving set-valued operators and a nonlinear termCostea, Nicuşor ; Rǎdulescu, Vicenţiu, 1958-The aim of this paper is to establish the existence of at least one solution for a general inequality of quasi-hemivariational type, whose solution is sought in a subset ▫$K$▫ of a real Banach space ... ▫$E$▫. First, we prove the existence of solutions in the case of compact convex subsets and the case of bounded closed and convex subsets. Finally, the case when ▫$K$▫ is the whole space is analyzed and necessary and sufficient conditions for the existence of solutions are stated. Our proofs rely essentially on the Schauder's fixed point theorem and a version of the KKM principle due to Ky Fan (Math Ann 266:519-537, 1984).Source: Journal of global optimization. - ISSN 0925-5001 (Vol. 52, no. 4, 2012, str. 743-756)Type of material - article, component partPublish date - 2012Language - englishCOBISS.SI-ID - 16252505
Author
Costea, Nicuşor |
Rǎdulescu, Vicenţiu, 1958-
Topics
matematika |
teorija operatorjev |
večlični operatorji |
navzdol polzvezni večlični operatorji |
kvazihemivariacijska neenakost |
posplošena monotonost |
mathematics |
operator theory |
quasi-hemivariational inequality |
set-valued operator |
lower semicontinuous set-valued operator |
Clarke's generalized gradient |
generalized monotonicity |
KKM mapping
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Costea, Nicuşor | ![]() |
Rǎdulescu, Vicenţiu, 1958- | 29964 |
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