Results 31 to 40 of about 152 (147)

A New Study on Halpern and Nonconvex Combination Algorithm for Nonlinear Mappings in Banach Spaces with Applications

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce a Halpern algorithm and a nonconvex combination algorithm to approximate a solution of the split common fixed problem of quasi‐ϕ‐nonexpansive mappings in Banach space. In our algorithms, the norm of linear bounded operator does not need to be known in advance.
Gaobo Li, Sun Young Cho
wiley   +1 more source

An extragradient inertial algorithm for solving split fixed-point problems of demicontractive mappings, with equilibrium and variational inequality problems

open access: yesDemonstratio Mathematica, 2022
The purpose of this article is to study and analyse a new extragradient-type algorithm with an inertial extrapolation step for solving split fixed-point problems for demicontractive mapping, equilibrium problem, and pseudomonotone variational inequality ...
Okeke Chibueze C.   +2 more
doaj   +1 more source

Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem

open access: yesAdvances in Nonlinear Analysis, 2019
The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Guibé Olivier   +3 more
doaj   +1 more source

Identification of discontinuous parameters in double phase obstacle problems

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we investigate the inverse problem of identification of a discontinuous parameter and a discontinuous boundary datum to an elliptic inclusion problem involving a double phase differential operator, a multivalued convection term (a ...
Zeng Shengda   +3 more
doaj   +1 more source

On Strengthened Inertial-Type Subgradient Extragradient Rule with Adaptive Step Sizes for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive Mappings

open access: yesMathematics, 2022
In a real Hilbert space, let the VIP denote a pseudomonotone variational inequality problem with Lipschitz continuity operator, and let the CFPP indicate a common fixed-point problem of finitely many nonexpansive mappings and an asymptotically ...
Lu-Chuan Ceng   +3 more
doaj   +1 more source

An iterative scheme for split equality equilibrium problems and split equality hierarchical fixed point problem

open access: yesAdvances in Difference Equations, 2021
This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
doaj   +1 more source

A New Construction and Convergence Analysis of Non-Monotonic Iterative Methods for Solving ρ-Demicontractive Fixed Point Problems and Variational Inequalities Involving Pseudomonotone Mapping

open access: yesMathematics, 2022
Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk   +2 more
doaj   +1 more source

Improved inertial projection and contraction method for solving pseudomonotone variational inequality problems

open access: yesJournal of Inequalities and Applications, 2021
The objective of this article is to solve pseudomonotone variational inequality problems in a real Hilbert space. We introduce an inertial algorithm with a new self-adaptive step size rule, which is based on the projection and contraction method.
Ming Tian, Gang Xu
doaj   +1 more source

Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets [PDF]

open access: yesJournal of Inequalities and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad S. R. Chowdhury, Yeol Je Cho
openaire   +4 more sources

Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality

open access: yesJournal of Inequalities and Applications, 2023
This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive ...
Lu-Chuan Ceng   +3 more
doaj   +1 more source

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