Some Minimax Type Results Of Clarke's Generalized Directional Derivative And Point-Coderivative Of Multifunctions
Copyright policy )Some Minimax Type Results Of Clarke's Generalized Directional Derivative And Point-Coderivative Of Multifunctions
The paper is motivated by some recent results of \textit{G. Kassay} and \textit{Zs. Páles} [Nonlinear Anal. 35 A, No.~4, 505-515 (1999; Zbl 0919.49009)] that brings Clarke's derivative and fixed point theory into a joint framework. The authors, based on their former investigations, e.g., \textit{J. L. Li} [Far East J. Math. Sci., Spec. Vol., Part III, 299-312 (1999; Zbl 0985.47047)], establish further generalizations and incorporate some new ideas. One of the main results, Theorem 1 offers a fixed point theorem where no explicit continuity assumptions are made on the inward map considered. Variational inequalities involving Clarke's generalized derivative and a generalization of the main result of \textit{G. Kassay} and \textit{Zs. Páles} [loc. cit.] involving precoderivative instead of Clarke's generalized gradient are also obtained.
Fixed-point theorems, locally Lipschitz function, fixed point, Fixed-point and coincidence theorems (topological aspects), point-coderivative of multifunctions, Fan-KKM theorem, variational inequality, Optimal control problems with differential inclusions (nec./ suff.), Clarke's generalized directional derivative
Fixed-point theorems, locally Lipschitz function, fixed point, Fixed-point and coincidence theorems (topological aspects), point-coderivative of multifunctions, Fan-KKM theorem, variational inequality, Optimal control problems with differential inclusions (nec./ suff.), Clarke's generalized directional derivative
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!