Showing papers in "Optimization in 2021"
TL;DR: In this article, a monotone and Lipschitz continuous variational inequality and fixed point problems are studied on a level set of a convex function in the setting of Hilbert space.
Abstract: In this paper, we study a classical monotone and Lipschitz continuous variational inequality and fixed point problems defined on a level set of a convex function in the setting of Hilbert space. We...
69 citations
TL;DR: In this paper, a new viscosity type inertial extragradient method with Armijo line-search technique for approximating a common solution of equilibrium problem with pseudo-monotone bifunc...
Abstract: In this paper, we propose a new viscosity type inertial extragradient method with Armijo line-search technique for approximating a common solution of equilibrium problem with pseudo-monotone bifunc...
64 citations
TL;DR: In this article, a hybrid inertial subgradient extragradient algorithm with line search process for solving a variational inequality problem with pseudomonotone and Lipschitz continuations is presented.
Abstract: In this paper, we introduce hybrid inertial subgradient extragradient algorithms with line-search process for solving a variational inequality problem (VIP) with pseudomonotone and Lipschitz contin...
48 citations
TL;DR: This paper proposes few new forward–backward splitting algorithms, which consume less number of iterations to converge to an optimum, and derives convergence rates for the proposed formulations and shows that the speed of convergence of these algorithms is significantly better than the traditional forward-backward algorithm.
Abstract: First-order methods such as proximal gradient, which use Forward–Backward Splitting techniques have proved to be very effective in solving nonsmooth convex minimization problem, which is useful in ...
39 citations
TL;DR: In this paper, Tseng's extragradient algorithm with self-adaptive step size was proposed to solve the variational inequality problem (VIP) and the fixed point problem.
Abstract: In this paper, we propose and study new inertial viscosity Tseng's extragradient algorithms with self-adaptive step size to solve the variational inequality problem (VIP) and the fixed point proble...
36 citations
TL;DR: In this paper, the authors proposed two general inertial algorithms with line search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradien...
Abstract: This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradien...
36 citations
TL;DR: A Perry-type derivative-free algorithm for solving systems of nonlinear equations based on the well-known BFGS quasi-Newton method with a modified Perry's parameter is proposed and successfully applied to solve signal recovery problem.
Abstract: In this paper, we propose a Perry-type derivative-free algorithm for solving systems of nonlinear equations. The algorithm is based on the well-known BFGS quasi-Newton method with a modified Perry'...
22 citations
TL;DR: In this article, the convergence analysis of an iterative algorithm with inertial extrapolation step for finding an approximate solution of split monotone inclusion problem in the context of split-convex inclusion is studied.
Abstract: The purpose of this paper is to study the convergence analysis of an iterative algorithm with inertial extrapolation step for finding an approximate solution of split monotone inclusion problem in ...
21 citations
TL;DR: In this paper, the problem of choosing the appropriate closed-loop supply chain structure for the collection of used products from customers under random demand is addressed, where the authors consider a two-echelon supply chain.
Abstract: This study addresses the problem of choosing the appropriate closed-loop supply chain structure for the collection of used products from customers under random demand. We consider a two-echelon sup...
21 citations
TL;DR: In this article, an inertial iterative scheme with self-adaptive step size for finding a common solution of split common null point problem for a finite family of maximal monotone operas is presented.
Abstract: In this article we introduce an inertial iterative scheme with self-adaptive step size for finding a common solution of split common null point problem for a finite family of maximal monotone opera...
20 citations
TL;DR: In this paper, the authors investigate a robust optimal portfolio choice problem for a defined contribution (DC) pension plan member, who worries about model ambiguity and aims to seek robust optimal inves...
Abstract: This paper investigates a robust optimal portfolio choice problem for a defined contribution (DC) pension plan member. The member worries about model ambiguity and aims to seek robust optimal inves...
TL;DR: In this article, the authors proposed two different methods for solving pseudomonotone and strongly pseudo-monotone equilibrium problems, and examined these methods as an extension and improvement of the Pop...
Abstract: In this paper, we proposed two different methods for solving pseudomonotone and strongly pseudomonotone equilibrium problems. We can examine these methods as an extension and improvement of the Pop...
TL;DR: In this article, the authors investigate a Stackelberg stochastic differential reinsurance-investment game, in which the reinsurer is the leader and the insurer is the follower.
Abstract: This paper investigates a Stackelberg stochastic differential reinsurance–investment game problem, in which the reinsurer is the leader and the insurer is the follower. The unequal status of the re...
TL;DR: In this article, some hybrid derivative-free methods for nonlinear system of equations via acceleration and correction parameters are presented, which are based on applying the three term hybrid iterative s...
Abstract: Some hybrid derivative-free methods for nonlinear system of equations via acceleration and correction parameters are presented. These methods are based on applying the three term hybrid iterative s...
TL;DR: In this article, the authors investigate the potential of applying a state-of-the-art local derivative-free solver, Py-BOBYQA, to global optimization problems.
Abstract: We investigate the potential of applying a state-of-the-art, local derivative-free solver, Py-BOBYQA to global optimization problems. In particular, we demonstrate the potential of a restarts proce...
TL;DR: In this article, the notion of L0-convex compactness was introduced for a special class of closed convex subsets, called closed L 0-concave subsets of a Hausdorff topological module over the topological algebra.
Abstract: First, this paper introduces the notion of L0-convex compactness for a special class of closed convex subsets–closed L0-convex subsets of a Hausdorff topological module over the topological algebra...
TL;DR: In this paper, the authors studied elliptic fractional boundary value problems of Sturm-Liouville type on an interval and on a general star graph and gave some existence and uniqueness results.
Abstract: This paper is devoted to elliptic fractional boundary value problems of Sturm–Liouville type on an interval and on a general star graph. We first give some existence and uniqueness results on an op...
TL;DR: In recent years, environmental regulations, public awareness and economic opportunities have motivated many researchers to study Hybrid Manufacturing/Remanufacturing Systems (HMRSs) as discussed by the authors, and this research area has attracted many researchers.
Abstract: In recent years, environmental regulations, public awareness and economic opportunities have motivated many researchers to study Hybrid Manufacturing/Remanufacturing Systems (HMRSs). This research ...
TL;DR: In this paper, a descent-type iterative algorithm for finding a common element of fixed-point sets of a finite family of nonexpansive mappings and zero point sets of zero-point mappings is proposed.
Abstract: The purpose of this article is to investigate a descent-type iterative algorithm for finding a common element of fixed-point sets of a finite family of nonexpansive mappings and zero-point sets of ...
TL;DR: In this article, a vector equilibrium problem involving equality, inequality and set constraints with nonsmooth functions via the higher-order Studniarski derivatives is studied. But the authors focus on the analysis of the set constraints.
Abstract: This article is devoted to the investigation of a vector equilibrium problem involving equality, inequality and set constraints with nonsmooth functions via the higher-order Studniarski derivatives...
TL;DR: In this paper, second-order optimality conditions for Tikhonov regularized optimal control problems governed by the obstacle problem were studied, using a simple observation that allows to charact...
Abstract: This paper is concerned with second-order optimality conditions for Tikhonov regularized optimal control problems governed by the obstacle problem. Using a simple observation that allows to charact...
TL;DR: In this paper, a double-sided matching queue problem where customers are loss-averse with respect to their waiting times is studied and the reference point is set and constructed using a reference point.
Abstract: This study examines a matching queue problem (double-sided matching queue) where customers are loss-averse with respect to their waiting times. We first set the reference point and construct the lo...
TL;DR: Using tools provided by the theory of abstract convexity, the authors extend conditions for zero duality gap to the context of non-convex and nonsmooth optimization, and show how to construct an abstention matrix.
Abstract: Using tools provided by the theory of abstract convexity, we extend conditions for zero duality gap to the context of non-convex and nonsmooth optimization. Mimicking the classical setting, an abst...
TL;DR: A game-theoretic model, a new algorithmic framework with convergence theory, and numerical examples for the solution of intersection management problems and a decomposition method, where the selection of the players is controlled through penalty terms are proposed.
Abstract: In this paper, we present a game-theoretic model, a new algorithmic framework with convergence theory, and numerical examples for the solution of intersection management problems. In our model, we ...
TL;DR: This paper proposes a new inexactness criterion for the search direction subproblems of the inexact variable metric method for solving convex-constrained optimization problems, and proves that any accumulation point of the sequence generated by the new method is a stationary points of the problem under consideration.
Abstract: This paper is concerned with the inexact variable metric method for solving convex-constrained optimization problems. At each iteration of this method, the search direction is obtained by inexactly...
TL;DR: The inertial projection and contraction method and the inertial forward-backward forward method have been studied for solving variational inequality problems due to the ability of these methods to solve variational inequalities as mentioned in this paper.
Abstract: The inertial projection and contraction method and the inertial forward-backward-forward method have been studied for solving variational inequality problems due to the ability of these methods to ...
TL;DR: In this article, two Tseng's methods for finding a singularity point of an inclusion problem are presented, defined by means of a sum of a single-valued vector field and a multivalued vector field.
Abstract: In this article, we present two Tseng's methods for finding a singularity point of an inclusion problem which is defined by means of a sum of a single-valued vector field and a multivalued vector f...
TL;DR: In this paper, the theoretical aspects of multiobjective fractional problems under interval uncertainty were discussed, and an interval multi-objective model was formulated to solve the problem under uncertainty.
Abstract: This paper is developed to discuss the theoretical aspects of multiobjective fractional problems under interval uncertainty. For this, we have formulated an interval multiobjective fractional model...
TL;DR: In this paper, a constrained optimal control problem for biological processes is presented, where time-delays are often involved in modelling biological processes, which arise more difficulties for the control task.
Abstract: Time-delays are often involved in modelling biological processes, which arise more difficulties for the control task. In fact, once the control goal is given, a constrained optimal control problem ...
TL;DR: In this article, robust e-quasi optimal solutions for nonsmooth optimization problems with uncertain data are presented, under some mild assumptions, by using robust optimizatat...
Abstract: This paper deals with robust e-quasi optimal solutions for a class of nonsmooth optimization problems with uncertain data. Under some mild assumptions, we first establish, by using robust optimizat...