Results 51 to 60 of about 155 (137)

Inertial-Like Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive and Strictly Pseudocontractive Mappings

Mathematics, 2019
Let VIP indicate the variational inequality problem with Lipschitzian and pseudomonotone operator and let CFPP denote the common fixed-point problem of an asymptotically nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert ...
Lu-Chuan Ceng, Adrian Petruşel, Ching-Feng Wen, Jen-Chih Yao   +3 more
doaj   +1 more source

Eigenvalue results for pseudomonotone perturbations of maximal monotone operators

Open Mathematics, 2013
Abstract Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X.
Kim In-Sook, Bae Jung-Hyun
openaire   +3 more sources

An inertial‐like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces

Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9637-9668, August 2024.
A survey of the existing results in the literature shows that several of the results on variational inequality problem were established under some stringent conditions and employed some form of linesearch technique even in the framework of Hilbert spaces. However, due to the loop nature of the linesearch technique, the implementation of such algorithms
Oluwatosin T. Mewomo, Timilehin O. Alakoya, Amara Eze, Olaniyi S. Iyiola   +3 more
wiley   +1 more source

Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators

Journal of Differential Equations, 2003
In a reflexive Banach space, the authors obtain a general ``ranges of sums'' result involving a maximal monotone operator \(A\) and a densely defined finitely continuous quasibounded generalized pseudomonotone operator \(B\). This result improves [\textit{F. E. Browder}, J. Funct. Anal.
Guan, Z., Kartsatos, A.G., Skrypnik, I.V.   +2 more
openaire   +2 more sources

Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators

Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.
The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja, Velusamy Vijayakumar, Kalyana Chakravarthy Veluvolu, Anurag Shukla, Kottakkaran Sooppy Nisar   +4 more
wiley   +1 more source

Fractional elliptic obstacle systems with multivalued terms and nonlocal operators

Nonlinear Analysis
In this paper, we introduce and study a fractional elliptic obstacle system, which is composed of two elliptic inclusions with fractional (pi, qi)-Laplace operators, nonlocal functions, and multivalued terms.
Jinxia Cen, Shengda Zeng, Anouar Bahrouni   +2 more
doaj   +1 more source

Projected Subgradient Algorithms for Pseudomonotone Equilibrium Problems and Fixed Points of Pseudocontractive Operators [PDF]

Mathematics, 2020
The projected subgradient algorithms can be considered as an improvement of the projected algorithms and the subgradient algorithms for the equilibrium problems of the class of monotone and Lipschitz continuous operators. In this paper, we present and analyze an iterative algorithm for finding a common element of the fixed point of pseudocontractive ...
Yonghong Yao, Naseer Shahzad, Jen-Chih Yao   +2 more
openaire   +2 more sources

Existence Theorems on Solvability of Constrained Inclusion Problems and Applications

Abstract and Applied Analysis, 2018
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
Teffera M. Asfaw
doaj   +1 more source

A double phase equation with convection

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We consider a double phase problem with a gradient dependent reaction (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a nontrivial, positive, bounded solution.
Zhenhai Liu, Nikolaos Papageorgiou
doaj   +1 more source

Variational inequalities for (η, θ)-pseudomonotone operators in nonreflexive Banach spaces

Applied Mathematics Letters, 1999
The paper concerns a variational problem: Find \(x_0\in K\) such that, for all \(x\in K\), \(\langle Tx_0,\eta(x,x_0)\rangle\geq 0\). Here \(X\) is a nonreflexive Banach space, \(K\subseteq X^{**}\) is a convex set, \(T:K\to X^{*}\) is a hemicontinuous operator, and \(\eta:K\times K\to X^{**}\) is an appropriate substitute for the standard operator ...
Lee, B.-S., Lee, G.-M.
openaire   +2 more sources