This paper introduces a general implicit iterative method for finding zeros of a maximal
monotone operator in a Hilbert space which unifies three previously studied strategies …

Practical quasi-Newton methods for solving nonlinear systems are surveyed. The definition
of quasi-Newton methods that includes Newton's method as a particular case is adopted …

In this paper, we review briefly some methods for minimizing a function F (x), which proceed
by follwoing the solution curve of a system of ordinary differential equations. Such methods …

In this paper, we first propose a general inertial proximal point algorithm (PPA) for the mixed
variational inequality (VI) problem. Based on our knowledge, without stronger assumptions …

This paper proposes a two-point inertial proximal point algorithm to find zero of maximal
monotone operators in Hilbert spaces. We obtain weak convergence results and non …

We present a strongly convergent Halpern-type proximal point algorithm with double inertial
effects to find a zero of a maximal monotone operator in Hilbert spaces. The strong …

In this paper, we introduce a new class of hybrid inertial and contraction proximal point
algorithm for the variational inclusion problem of the sum of two mappings in Hilbert spaces …

Dynamical (or ode) system and neural network approaches for optimization have been co-
existed for two decades. The main feature of the two approaches is that a continuous path …

The proximal point method (PPM) for solving maximal monotone operator inclusion problem
is a highly powerful tool for algorithm design, analysis and interpretation. To accelerate …

SIGMA is a set of FORTRAN subprograms for solving the global optimization problem, which
implements a method founded on the numerical solution of a Cauchy problem for a …