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Convergence of Adaptive Algorithms for Equilibrium Problems in Hadamard Spaces

open access: yesJournal of Optimization, Differential Equations and Their Applications
In this paper, we consider the equilibrium problems under the setting of Hadamard spaces. For an approximate solution of equilibrium problems, iterative adaptive two-stage proximal algorithms are proposed and studied.
Serhii V. Denysov   +2 more
doaj   +1 more source

Evaluating Energy Absorption Performance of Filled Lattice Structures

open access: yesAdvanced Engineering Materials, EarlyView.
Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney   +2 more
wiley   +1 more source

Solving the Set Equilibrium Problems [PDF]

open access: yesFixed Point Theory and Applications, 2010
AbstractWe study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of set equilibrium problems are derived. The new results extend and modify various existence theorems for similar problems.
Lin Yen-Cherng, Chen Hsin-Jung
openaire   +3 more sources

Weak convergence theorem for variational inequality problems with monotone mapping in Hilbert space

open access: yesJournal of Inequalities and Applications, 2016
We know that variational inequality problem is very important in the nonlinear analysis. The main purpose of this paper is to propose an iterative method for finding an element of the set of solutions of a variational inequality problem with a monotone ...
Ming Tian, Bing-Nan Jiang
doaj   +1 more source

Karl Popper and the Mechanisms of Hydrogen Embrittlement

open access: yesAdvanced Engineering Materials, EarlyView.
Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley   +1 more source

Triple Mann Iteration Method for Variational Inclusions, Equilibria, and Common Fixed Points of Finitely Many Quasi-Nonexpansive Mappings on Hadamard Manifolds

open access: yesMathematics
In this paper, we introduce a triple Mann iteration method for approximating an element in the set of common solutions of a system of quasivariational inclusion issues, which is an equilibrium problem and a common fixed point problem (CFPP) of finitely ...
Lu-Chuan Ceng   +3 more
doaj   +1 more source

REGULARIZED ADAPTIVE EXTRA-PROXIMAL ALGORITHM FOR EQUILIBRIUM PROBLEM IN HADAMARD SPACES

open access: yesМіжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020
One of the intensively developing areas of modern applied nonlinear analysis is the study of equilibrium problems, also known as Ky Fan inequalities, equilibrium programming problems.
Я.І. Ведель   +2 more
doaj   +1 more source

Inertial Mann-Krasnoselskii algorithm with self adaptive stepsize for split variational inclusion problem and paramonotone equilibria

open access: yesMathematical Modelling and Analysis, 2022
In this paper, we introduce a Mann-Krasnoselskii algorithm of inertial form for approximating a common solution of Spit Variational Inclusion Problem (SVIP) and Equilibrium Problem (EP) with paramonotone bifunction in real Hilbert spaces.
Lateef O. Jolaoso   +2 more
doaj   +1 more source

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

open access: yesAdvanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang   +2 more
wiley   +1 more source

Multi-step algorithms for solving EPs

open access: yesMathematical Modelling and Analysis, 2018
The paper introduces and analysizes the convergence of two multi-step proximal-like algorithms for pseudomonotone and Lipschitz-type continuous equilibrium problems in a real Hilbert space.
Pham Ngoc Anh, Dang Van Hieu
doaj   +1 more source

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