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   Articles with "monotone operator" as a keyword



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On a Time and State Dependent Maximal Monotone Operator Coupled with a Sweeping Process with Perturbations

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recommendations! Published in 2020 at "Set-Valued and Variational Analysis"

DOI: 10.1007/s11228-020-00544-2

Abstract: In this paper, we state, in separable Hilbert spaces, the existence of absolutely continuous solutions for a couple of evolution problems governed by time and state dependent maximal monotone operator and closed convex sweeping process,… read more here.

Keywords: state; maximal monotone; monotone operator; time state ... See more keywords

On the FPV Property, Monotone Operator Structure and the Monotone Polar of Representable Monotone Sets

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recommendations! Published in 2020 at "Set-valued and Variational Analysis"

DOI: 10.1007/s11228-020-00549-x

Abstract: We study the pointwise partial ordering of representative functions for a monotone operator and in particular we focus on the bigger conjugate representative functions that represent a fixed initial (non-maximal) monotone operator. The first problem… read more here.

Keywords: representable monotone; monotone operator; monotone; monotone sets ... See more keywords

Representative Functions, Variational Convergence and Almost Convexity

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recommendations! Published in 2024 at "Set-Valued and Variational Analysis"

DOI: 10.1007/s11228-024-00708-4

Abstract: We develop a new epi-convergence based on the use of bounded convergent nets on the product topology of the strong topology on the primal space and weak star topology on the dual space of a… read more here.

Keywords: operator; monotone operator; space; topology ... See more keywords
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A New Three-Term Hestenes-Stiefel Type Method for Nonlinear Monotone Operator Equations and Image Restoration

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recommendations! Published in 2021 at "IEEE Access"

DOI: 10.1109/access.2021.3053141

Abstract: In this article, a derivative-free method of Hestenes-Stiefel type is proposed for solving system of monotone operator equations with convex constraints. The method proposed is matrix-free, and its sequence of search directions are bounded and… read more here.

Keywords: hestenes stiefel; stiefel type; monotone; monotone operator ... See more keywords

A Modified Scaled Spectral-Conjugate Gradient-Based Algorithm for Solving Monotone Operator Equations

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recommendations! Published in 2021 at "Journal of Mathematics"

DOI: 10.1155/2021/5549878

Abstract: This paper proposes a modified scaled spectral-conjugate-based algorithm for finding solutions to monotone operator equations. The algorithm is a modification of the work of Li and Zheng in the sense that the uniformly monotone assumption… read more here.

Keywords: based algorithm; monotone operator; scaled spectral; spectral conjugate ... See more keywords

BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator

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recommendations! Published in 2024 at "Mathematics"

DOI: 10.3390/math12060896

Abstract: This paper deals with the research of solutions of bounded variation (BV) to evolution inclusion coupled with a time and state dependent maximal monotone operator. Different problems are studied: existence of solutions, unicity of the… read more here.

Keywords: operator; monotone operator; time; evolution inclusion ... See more keywords