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Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems
The paper presents two inertial viscosity-type extragradient algorithms for finding a common solution of the variational inequality problem involving...
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Solving quasimonotone and non-monotone variational inequalities
We present a simple iterative method for solving quasimonotone as well as classical variational inequalities without monotonicity. Strong convergence...
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Unification of some iterative and proximal like methods for asymptotically nonexpansive and quasi-nonexpansive map**s
In this paper, we introduce the concept of a strongly asymptotically quasi-nonexpansive sequence of map**s in the context of a Hilbert space....
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Convergence theorems for a new iteration scheme for mixed-type asymptotically nonexpansive map**s
In this paper, we introduce a new iteration scheme of mixed type for two asymptotically nonexpansive self-map**s and two asymptotically...
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A performance analysis of Basin hop** compared to established metaheuristics for global optimization
During the last decades many metaheuristics for global numerical optimization have been proposed. Among them, Basin Hop** is very simple and...
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Convergence Rates of Forward–Douglas–Rachford Splitting Method
Over the past decades, operator splitting methods have become ubiquitous for non-smooth optimization owing to their simplicity and efficiency. In...
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Mathematical model and a variable neighborhood search algorithm for mixed-model robotic two-sided assembly line balancing problems with sequence-dependent setup times
Human labor is generally being replaced with robots for high automation, increased flexibility, and reduced costs in modern industry. Few studies...
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Clark’s Equation: A Useful Difference Equation for Population Models, Predictive Control, and Numerical Approximations
A one-dimensional discrete-time dynamical system can be also seen as a recurrence, a difference equation, or an iteration scheme; and sometimes...
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A Novel Iterative Scheme To Approximate the Fixed Points of Zamfirescu Operator and Generalized Non-Expansive Map with an Application
AbstractThis paper aims at defining a novel and a faster iterative scheme called PC-iterative scheme to approximate the fixed points of the...
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Approximating common fixed points of a finite family of non-self map**s in Hilbert spaces
In this paper, we construct and study an iterative process involving a finite family of non-self map**s defined on a nonempty closed convex subset...
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Metaheuristics and machine learning: an approach with reinforcement learning assisting neural architecture search
Methaheuristics (MHs) are techniques widely used for solving complex optimization problems. In recent years, the interest in combining MH and machine...
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Approximating fixed points for nonlinear generalized map**s using Ishikawa iteration
We obtain a contractive condition for the existence and uniqueness of fixed points for a generalized contraction-type map**. The present study...
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A new class of computationally efficient algorithms for solving fixed-point problems and variational inequalities in real Hilbert spaces
A family of inertial extragradient-type algorithms is proposed for solving convex pseudomonotone variational inequality with fixed-point problems,...
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Hybrid Inertial Contraction Algorithms for Solving Variational Inequalities with Fixed Point Constraints in Hilbert Spaces
In this paper, basing on the forward-backward method and inertial techniques, we introduce a new algorithm for solving a variational inequality...
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Compositions and convex combinations of Bregman weakly relatively nonexpansive operators in reflexive Banach spaces
In this paper, we investigate the right and left Bregman weakly relatively nonexpansive operators in reflexive Banach spaces. We first introduce the...
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A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems
In this paper, we introduce a new parallel combination extragradient method for solving a finite family of pseudo-monotone equilibrium problems and...
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Application of Fixed Point Iterative Methods to Construct Fractals and Anti-fractals
In the present chapter, we demonstrate an application of fixed point iterative methods to construct fractals (Mandelbrot and Julia sets) and...