Results 11 to 20 of about 226 (176)
Local Sharp Vector Variational Type Inequality and Optimization Problems
Mathematics, 2020 In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and ...
Jong Kyu Kim, Salahuddin
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On the reduced-set pareto-lipschitzian optimization
Computational Science and Techniques, 2013 A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Remigijus Paulavičius
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Uniformly Lipschitzian mappings in modular function spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2001 Plan Andaluz de Investigación (Junta de Andalucía)
Domínguez Benavides, Tomás +2 more
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Inequalities for D−Synchronous Functions and Related Functionals
Revista Integración, 2020 We introduce in this paper the concept of quadruple D−synchronous functions which generalizes the concept of a pair of synchronous functions, we establish an inequality similar to Chebyshev inequality and we also provide some Cauchy-Bunyakovsky-Schwarz ...
Silvestru Sever Dragomir
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Subdifferentials of compactly lipschitzian vector-valued functions [PDF]
Annali di Matematica Pura ed Applicata, 1980 We introduce the concept of compactly lipschitzian functions taking values in a topological vector space F. We show that if F is finite dimensional the Lipschitz functions are compactly lipschitizian. We define the notions of generalized directional derivatives and subdifferentials for such functionsf taking values in an ordered topological vector ...
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On Estimation of the Bullen-Mercer Inequality for Several Classes [PDF]
Sahand Communications in Mathematical AnalysisThis study establishes Bullen-Mercer type inequalities for $h$-convex functions that use Riemann-Liouville fractional operators. The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations ...
Ahmed Hallouz +2 more
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Finite Chainability, Locally Lipschitzian and Uniformly Continuous Functions
Zeitschrift für Analysis und ihre Anwendungen, 1998 We present a notion of a finitely chainable subset of a metric space X . We show that Y is a finitely chainable subset of ...
MARINO, Giuseppe +2 more
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Efficient Lipschitzian Global Optimization of Hölder Continuous Multivariate Functions
, 2023 This study presents an effective global optimization technique designed for multivariate functions that are Hölder continuous. Unlike traditional methods that construct lower bounding proxy functions, this algorithm employs a predetermined query creation rule that makes it computationally superior.
Gokcesu, Kaan, Gokcesu, Hakan
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Newton-type Inequalities for Fractional Integrals by Various Function Classes
Universal Journal of Mathematics and ApplicationsThe authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak +2 more
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Fréchet differentiability of regular locally Lipschitzian functions
Journal of Mathematical Analysis and Applications, 1991 Locally Lipschitzian regular (i.e. the one sided directional derivative exists and equals the generalized directional derivative) real-valued functions defined on open subsets of separable Banach spaces are considered. For any such function it is shown that Clarke's generalized gradient is a minimal, convex and compact valued upper semicontinuous multi-
Gieraltowska-Kedzierska, Maria +1 more
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