Results 71 to 80 of about 400 (106)

The contraction-proximal point algorithm with square-summable errors

, 2013
In this paper, we study the contraction-proximal point algorithm for approximating a zero of a maximal monotone mapping. The norm convergence of such an algorithm has been established under two new conditions.
C. Tian, Fenghui Wang
semanticscholar   +1 more source

Adaptive Image Processing: First Order PDE Constraint Regularizers and a Bilevel Training Scheme. [PDF]

J Nonlinear Sci, 2023
Davoli E, Fonseca I, Liu P.
europepmc   +1 more source

On Strong convergence of Halpern's method using averaged type mappings [PDF]

arXiv, 2014
In this paper, inspired by Iemoto and Takahashi [S. Iemoto, W. Takahashi, Nonlinear Analysis 71, (2009), 2082-2089], we study the Halpern's method to approximate strongly fixed points of a nonexpansive mapping and of a nonspreading mapping. A crucial tool in our results is the regularization with the averaged type mappings [C. Byrne, Inverse Probl. 20,
arxiv  

Higher integrability in the obstacle problem for the fast diffusion equation [PDF]

arXiv, 2020
We prove local higher integrability of the spatial gradient for solutions to obstacle problems of porous medium type in the fast diffusion case $m<1$. The result holds for the natural range of exponents that is known from other regularity results for porous medium type equations. We also cover the case of signed solutions.
arxiv  

An algorithm for solving a multi-valued variational inequality

, 2013
We propose a new extragradient method for solving a multi-valued variational inequality. It is showed that the method converges globally to a solution of the multi-valued variational inequality, provided the multi-valued mapping is continuous with ...
Chang-jie Fang, Sheng-lan Chen, Chunde Yang   +2 more
semanticscholar   +1 more source

A Transverse Hamiltonian Approach to Infinitesimal Perturbation Analysis of Quantum Stochastic Systems. [PDF]

Entropy (Basel), 2023
Vladimirov IG.
europepmc   +1 more source

Multi-step implicit iterative methods with regularization for minimization problems and fixed point problems

, 2013
In this paper we introduce a multi-step implicit iterative scheme with regularization for finding a common solution of the minimization problem (MP) for a convex and continuously Fréchet differentiable functional and the common fixed point problem of an ...
L. Ceng, Q. Ansari, C. Wen
semanticscholar   +1 more source

Existence results for equilibrium problem [PDF]

arXiv, 2016
In this work, we introduce the notion of regularization of bifunctions in a similar way as the well- known convex, quasiconvex and lower semicontinuous regularizations due to Crouzeix. We show that the Equilibrium Problems associated to bifunctions and their regularizations are equivalent in the sense of having the same solution set.
arxiv  

Iterative algorithms based on the viscosity approximation method for equilibrium and constrained convex minimization problem

, 2012
The gradient-projection algorithm (GPA) plays an important role in solving constrained convex minimization problems. Based on the viscosity approximation method, we combine the GPA and averaged mapping approach to propose implicit and explicit composite ...
M. Tian, Lei Liu
semanticscholar   +1 more source

Generalized variational inequalities for maximal monotone operators [PDF]

arXiv, 2017
In this paper we present some new results on the existence of solutions of generalized variational inequalities in real reflexive Banach spaces with Fr\'echet differentiable norms. Moreover, we also give some theorems about the structure of solution sets.
arxiv