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Strongly Convergent Inertial Proximal Point Algorithm Without On-line Rule
We present a strongly convergent Halpern-type proximal point algorithm with double inertial effects to find a zero of a maximal monotone operator in...
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A semismooth Newton based dual proximal point algorithm for maximum eigenvalue problem
The maximum eigenvalue problem is to minimize the maximum eigenvalue function over an affine subspace in a symmetric matrix space, which has many...
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On A Proximal-Point Algorithm For Solving the Minimization Problem and Common Fixed-Point Problem in Cat(k) Spaces
We propose a new modified proximal-point algorithm in the setting of CAT(1) spaces, which can be used to solve the minimization problem and the...
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Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm
The proximal point algorithm finds a zero of a maximal monotone map** by iterations in which the map** is made strongly monotone by the addition...
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Inertial proximal point algorithm for the split common solution problem of monotone operator equations
This paper provides a new approach to solving the class of split problems. More precisely, we investigate the split common solution problem for...
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An efficient implementable inexact entropic proximal point algorithm for a class of linear programming problems
We introduce a class of specially structured linear programming (LP) problems, which has favorable modeling capability for important application...
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Relaxed-Inertial Proximal Point Algorithms for Nonconvex Equilibrium Problems with Applications
We propose a relaxed-inertial proximal point algorithm for solving equilibrium problems involving bifunctions which satisfy in the second variable a...
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An inexact proximal point method for quasiconvex multiobjective optimization
In this work, we propose an inexact proximal point method for solving unconstrained quasiconvex multiobjective optimization problems. Two error...
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Abstract strongly convergent variants of the proximal point algorithm
We prove an abstract form of the strong convergence of the Halpern-type and Tikhonov-type proximal point algorithms in CAT(0) spaces. In addition, we...
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Proximal Point Method for Quasiconvex Functions in Riemannian Manifolds
This paper studies the convergence of the proximal point method for quasiconvex functions in finite dimensional complete Riemannian manifolds. We...
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The projected polar proximal point algorithm converges globally
Friedlander, Macêdo, and Pong recently introduced the projected polar proximal point algorithm (P4A) for solving optimization problems by using the...
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Strong convergence algorithm for proximal split feasibility problem
The purpose of this paper is to propose an algorithm for solving the proximal split feasibility problems and fixed point problems in Hilbert spaces....
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A new proximal heavy ball inexact line-search algorithm
We study a novel inertial proximal-gradient method for composite optimization. The proposed method alternates between a variable metric...
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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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Tight Ergodic Sublinear Convergence Rate of the Relaxed Proximal Point Algorithm for Monotone Variational Inequalities
This paper considers the relaxed proximal point algorithm for solving monotone variational inequality problems, and our main contribution is the...
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Inertial Proximal Point Algorithms for Solving a Class of Split Feasibility Problems
We study the split common solution problem with multiple output sets for monotone operator equations in Hilbert spaces. In order to solve this...
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SPIRAL: a superlinearly convergent incremental proximal algorithm for nonconvex finite sum minimization
We introduce SPIRAL, a SuPerlinearly convergent Incremental pRoximal ALgorithm, for solving nonconvex regularized finite sum problems under a...
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Proximal Subgradient Algorithm for a Class of Nonconvex Bilevel Equilibrium Problems
In this paper, we propose an algorithm for a bilevel problem of solving a monotone equilibrium problem over the solution set of a mixed equilibrium...
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Proximal gradient algorithm with trust region scheme on Riemannian manifold
We consider the problem of minimizing the sum of a smooth function and nonsmooth function over a Riemannian manifold. We develop a Riemannian...
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Weak and strong convergence of generalized proximal point algorithms with relaxed parameters
In this work, we propose and study a framework of generalized proximal point algorithms associated with a maximally monotone operator. We indicate...
