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An inexact proximal point method with quasi-distance for quasi-convex multiobjective optimization
In this work, an inexact proximal point algorithm is proposed for solving unconstrained multiobjective optimization problems with locally Lipschitz...
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Self-majorizing elements in Banach lattice unital f-algebras
We give a complete description of self-majorizing elements of a Banach lattice unital f -algebra. The idea comes from Luxemburg (Some Aspects of the...
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Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth
We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities...
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Composition of integral-type operators and discrete operators involving Laguerre polynomials
In this note we provide a new way to capture operators involving Laguerre polynomials by composition of an integral operator and a discrete operator....
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Large Deviation Principle for a Class of Stochastic Partial Differential Equations with Fully Local Monotone Coefficients Perturbed By Lévy Noise
The asymptotic analysis of a class of stochastic partial differential equations (SPDEs) with fully local monotone coefficients covering a large...
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Approximate Benson properly efficient solutions for set-valued equilibrium problems
In this paper, we introduce the concept of approximate Benson properly efficient solutions for the set-valued equilibrium problems (in short, SVEP)...
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Envelo** norms of regularly P-operators in Banach lattices
The span of positive linear operators belonging to an operator linear class P and acting between Banach lattices is rarely a Banach space under the...
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Stochastic Partial Differential Equations and Invariant Manifolds in Embedded Hilbert Spaces
We provide necessary and sufficient conditions for stochastic invariance of finite dimensional submanifolds for solutions of stochastic partial...
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Characterizations of the projection bands and some order properties of the lattices of continuous functions
We show that for an ideal H in an Archimedean vector lattice F the following conditions are equivalent:
H is a projection band;
Any collection of...
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Second-order strong optimality and duality for nonsmooth multiobjective fractional programming with constraints
This paper investigates nonsmooth multiobjective fractional programming (NMFP) with inequalities and equalities constraints in real reflexive Banach...
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A line search technique for a class of multi-objective optimization problems using subgradient
This paper proposes a line search technique to solve a special class of multi-objective optimization problems in which the objective functions are...
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On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients
We consider second order degenerate parabolic equations with real, measurable, and time-dependent coefficients. We allow for degenerate ellipticity...
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Inequalities of singular values and unitarily invariant norms for sums and products of matrices
In this work, we investigate inequalities of singular values and unitarily invariant norms for sums and products of matrices. First, we prove that
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Capacities and Density Conditions in Metric Spaces
We examine the relations between different capacities in the setting of a metric measure space. First, we prove a comparability result for the Riesz
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The monotonicity of Orlicz–Lorentz spaces equipped with the F-norm
In this paper, we introduce a new F-normed space, namely Orlicz–Lorentz spaces equipped with the Mazur–Orlicz F-norm. Some basic properties in...