A Proximal Point Method for the Variational Inequality Problem in Banach Spaces
From MaRDI portal
Publication:2706168
DOI10.1137/S0363012998339745zbMath0988.90045WikidataQ58048624 ScholiaQ58048624MaRDI QIDQ2706168
Susana Scheimberg, Regina Sandra Burachik
Publication date: 19 March 2001
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Numerical optimization and variational techniques (65K10) Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40)
Related Items
Some recent advances in projection-type methods for variational inequalities ⋮ A note on the existence of zeroes of convexly regularized sums of maximal monotone operators ⋮ The proximal point method with a vectorial Bregman regularization in multiobjective DC programming ⋮ Proximal Methods with Penalization Effects in Banach Spaces ⋮ Generalized proximal-type methods for weak vector variational inequality problems in Banach spaces ⋮ A modified extragradient method for inverse-monotone operators in Banach spaces ⋮ Interior quasi-subgradient method with non-Euclidean distances for constrained quasi-convex optimization problems in Hilbert spaces ⋮ An inexact proximal method for quasiconvex minimization ⋮ The developments of proximal point algorithms ⋮ On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces ⋮ A modified Solodov-Svaiter method for solving nonmonotone variational inequality problems ⋮ Forcing strong convergence of Korpelevich's method in Banach spaces with its applications in game theory ⋮ Proximal methods in reflexive Banach spaces without monotonicity ⋮ A projection algorithm for non-monotone variational inequalities ⋮ An inexact scalarization proximal point method for multiobjective quasiconvex minimization ⋮ A projection-proximal point algorithm for solving generalized variational inequalities ⋮ Approximation of fixed points of weak Bregman relatively nonexpansive mappings in Banach spaces ⋮ Re-examination of Bregman functions and new properties of their divergences ⋮ A strongly convergent hybrid proximal method in Banach spaces. ⋮ Modified proximal-point algorithm for maximal monotone operators in Banach spaces ⋮ The Generalized Bregman Distance ⋮ Finite convergence of the proximal point algorithm for variational inequality problems ⋮ Generalized proximal point algorithms for multiobjective optimization problems ⋮ Outer approximation schemes for generalized semi-infinite variational inequality problems ⋮ Approximate generalized proximal-type method for convex vector optimization problem in Banach spaces ⋮ Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces ⋮ A proximal point method in nonreflexive Banach spaces ⋮ Pseudomonotone\(_*\) maps and the cutting plane property ⋮ On a generalized proximal point method for solving equilibrium problems in Banach spaces ⋮ Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮ Strong Convergence of an Inexact Proximal Point Algorithm for Equilibrium Problems in Banach Spaces ⋮ Rate of convergence for proximal point algorithms on Hadamard manifolds ⋮ Asymptotic analysis for proximal-type methods in vector variational inequality problems ⋮ A Proximal-Type Method for Convex Vector Optimization Problem in Banach Spaces ⋮ Forward-backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators ⋮ On a Bregman regularized proximal point method for solving equilibrium problems ⋮ A Strong Convergence Theorem for an Iterative Method for Finding Zeros of Maximal Monotone Maps with Applications to Convex Minimization and Variational Inequality Problems ⋮ An interior proximal linearized method for DC programming based on Bregman distance or second-order homogeneous kernels ⋮ A new incremental constraint projection method for solving monotone variational inequalities
This page was built for publication: A Proximal Point Method for the Variational Inequality Problem in Banach Spaces
