On a Time and State Dependent Maximal Monotone Operator Coupled with a Sweeping Process with Perturbations
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
A New Three-Term Hestenes-Stiefel Type Method for Nonlinear Monotone Operator Equations and Image Restoration
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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