Results 1 to 10 of about 9,586,445 (221)

Maximal Classes For Lower And Upper Semicontinuous Strong Świątkowski Functions [PDF]

Demonstratio Mathematica, 2014
In this paper, we characterize the maximal additive and multiplicative classes for lower and upper semicontinuous strong Świątkowsk functions and lower and upper semicontinuous extra strong Świątkowski functions.
Szczuka Paulina
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Distance to Spaces of Semicontinuous and Continuous Functions

Journal of Function Spaces, 2019
Given a topological space X, we establish formulas to compute the distance from a function f∈RX to the spaces of upper semicontinuous functions and lower semicontinuous functions.
Carlos Angosto
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Some fixed-point theorems for a general class of mappings in modular G-metric spaces [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et ...
Godwin Amechi Okeke, Daniel Francis
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Proximal gradient methods beyond monotony [PDF]

Journal of Nonsmooth Analysis and Optimization, 2023
We address composite optimization problems, which consist in minimizing the sum of a smooth and a merely lower semicontinuous function, without any convexity assumptions. Numerical solutions of these problems can be obtained by proximal gradient methods,
Alberto De Marchi
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Asymptotic Behavior of Resolvents of a Convergent Sequence of Convex Functions on Complete Geodesic Spaces

Axioms, 2022
The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in the various settings of spaces. In this paper, we consider the asymptotic behavior of the resolvents of a sequence of functions defined in a complete ...
Yasunori Kimura, Keisuke Shindo
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A New Forward–Backward Algorithm with Line Searchand Inertial Techniques for Convex Minimization Problems with Applications

Mathematics, 2021
For the past few decades, various algorithms have been proposed to solve convex minimization problems in the form of the sum of two lower semicontinuous and convex functions.
Dawan Chumpungam, Panitarn Sarnmeta, Suthep Suantai   +2 more
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Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces

Fixed Point Theory and Applications, 2007
We first introduce and analyze an algorithm of approximating solutions of maximal monotone operators in Hilbert spaces. Using this result, we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function
Yonghong Yao, Rudong Chen
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Existence of solutions for nonconvex third order differential inclusions

Electronic Journal of Qualitative Theory of Differential Equations, 2005
This paper proves the existence of solutions for a third order initial value nonconvex differential inclusion. We start with an upper semicontinuous compact valued multifunction $F$ which is contained in a lower semicontinuous convex function $\partial V$
Britney Hopkins
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Konsep Fungsi Semikontinu

Jurnal Fourier, 2014
This paper discusses the basic concepts and some of semicontinuous function, begins by introducing the concept of upper limit and lower limit.
Malahayati Malahayati
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A new projective exact penalty function for a general constrained optimization

Доповiдi Нацiональної академiї наук України, 2022
A new projective exact penalty function method is proposed for the equivalent reduction of constrained optimization problems to unconstrained ones. In the method, the original objective function is extended to infeasible points by summing its value at ...
V.I. Norkin
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