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On the convergence properties of scaled gradient projection methods with non-monotone Armijo–like line searches
In order to solve constrained optimization problems on convex sets, the class of scaled gradient projection methods is often exploited in combination...
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Complexity Analysis of a Full-Newton Step Interior-Point Method for Monotone Weighted Linear Complementarity Problems
In this paper, we present a full-Newton step interior-point method for solving monotone Weighted Linear Complementarity Problem. We use the technique...
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Monotone Splitting SQP Algorithms for Two-block Nonconvex Optimization Problems with General Linear Constraints and Applications
This work discusses a class of two-block nonconvex optimization problems with linear equality, inequality and box constraints. Based on the ideas of...
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Monotone Semiflows
In this chapter, we will be interested in the comparison property for semiflows. This type of property can be proved by using very simple arguments...
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Existence of Integro-Differential Neutral Measure Driven System Using Monotone Iterative Technique and Measure of Noncompactness
In present manuscript, we bring into work the technique of lower and upper solutions incorporated with the monotone iterative technique to discuss...
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DC semidefinite programming and cone constrained DC optimization II: local search methods
The second part of our study is devoted to a detailed convergence analysis of two extensions of the well-known DCA method for solving DC (Difference...
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Error bounds, facial residual functions and applications to the exponential cone
We construct a general framework for deriving error bounds for conic feasibility problems. In particular, our approach allows one to work with cones...
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Matrix Inequalities and Characterizations of Operator Monotone Functions
In this chapter, we give a series of new characterizations of operator monotone functions using matrix inequalities involving different Kubo-Ando...
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Convergence Properties of Monotone and Nonmonotone Proximal Gradient Methods Revisited
Composite optimization problems, where the sum of a smooth and a merely lower semicontinuous function has to be minimized, are often tackled...
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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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Stochastic relaxed inertial forward-backward-forward splitting for monotone inclusions in Hilbert spaces
We consider monotone inclusions defined on a Hilbert space where the operator is given by the sum of a maximal monotone operator T and a...
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Optimal Control of an Evolution Problem Involving Time-Dependent Maximal Monotone Operators
We consider a control problem in a finite-dimensional setting, which consists in finding a minimizer for a standard functional defined by way of two...
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A characterization of cone nonnegativity of Moore–Penrose inverses of unbounded Gram operators
Let A be an unbounded operator, particularly belonging to the class of densely defined closed operators on Hilbert spaces. The operator
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Facets of the cone of exact games
The class of exact transferable utility coalitional games, introduced in 1972 by Schmeidler, has been studied both in the context of game theory and...
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Convergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces
The aim of this paper is to propose two modified forward-backward splitting algorithms for zeros of the sum of a maximal monotone operator and a...