Results 71 to 80 of about 474,284 (161)

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

Stochastic pseudomonotone parabolic obstacle problem: well-posedness $\&$ Lewy-Stampacchia's inequalities [PDF]

, 2023
We consider obstacle problems for nonlinear stochastic evolution equations. More precisely, the leading operator in our equation is a nonlinear, second order pseudomonotone operator of Leray-Lions type.
Zimmermann, Aleksandra, Vallet, Guy, Sapountzoglou, Niklas, Tahraoui, Yassine   +3 more
core   +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

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

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

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

A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces

Axioms, 2021
In this paper, we survey the split problem of fixed points of two pseudocontractive operators and variational inequalities of two pseudomonotone operators in Hilbert spaces.
Li-Jun Zhu, Yeong-Cheng Liou
doaj   +1 more source

Mildly Inertial Subgradient Extragradient Method for Variational Inequalities Involving an Asymptotically Nonexpansive and Finitely Many Nonexpansive Mappings

Mathematics, 2019
In a real Hilbert space, let the notation VIP indicate a variational inequality problem for a Lipschitzian, pseudomonotone operator, and let CFPP denote a common fixed-point problem of an asymptotically nonexpansive mapping and finitely many nonexpansive
Lu-Chuan Ceng, Xiaolong Qin, Yekini Shehu, Jen-Chih Yao   +3 more
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

A Hybrid Projection Extragradient Method for Variational Inequality and Hierarchical Fixed-Point Problems

Mathematics
This study proposes a new strongly convergent iterative framework obtained by combining a Krasnosel’skiǐ–Mann type subgradient extragradient process with a hybrid projection strategy and an inertial extrapolation mechanism.
Rehan Ali, Monairah Alansari, Mohammad Farid   +2 more
doaj   +1 more source