Results 21 to 30 of about 14,626,795 (163)

Two strongly convergent self-adaptive iterative schemes for solving pseudo-monotone equilibrium problems with applications

Demonstratio Mathematica, 2021
The aim of this paper is to propose two new modified extragradient methods to solve the pseudo-monotone equilibrium problem in a real Hilbert space with the Lipschitz-type condition.
Pakkaranang Nuttapol, Rehman Habib ur, Kumam Wiyada   +2 more
doaj   +1 more source

Fixed point of Lipschitz type mappings [PDF]

, 2023
In this paper, we prove some fixed point theorems for Lipschitz type mappings in the setting of metric spaces.
Ravindra K. Bisht, Bisht, Ravindra K., Bisht, Ravindra K   +2 more
core   +1 more source

Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]

, 2002
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea, M. Dindos, Dindos, Martin, Mitrea, Marius   +3 more
core   +1 more source

Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space

Journal of Mathematics, 2022
In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz-type continuous bifunctions are involved in a real Hilbert space.
Gaobo Li
doaj   +1 more source

Inertial Iterative Self-Adaptive Step Size Extragradient-Like Method for Solving Equilibrium Problems in Real Hilbert Space with Applications

Axioms, 2020
A number of applications from mathematical programmings, such as minimization problems, variational inequality problems and fixed point problems, can be written as equilibrium problems.
Wiyada Kumam, Kanikar Muangchoo
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

Mathematics, 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, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +1 more source

Extragradient subgradient methods for solving bilevel equilibrium problems

Journal of Inequalities and Applications, 2018
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong ...
Tadchai Yuying, Bui Van Dinh, Do Sang Kim, Somyot Plubtieng   +3 more
doaj   +1 more source

Optimality Conditions and Duality in Nonsmooth Multiobjective Programs

Journal of Inequalities and Applications, 2010
We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced.
Do Sang Kim, Hyo Jung Lee
doaj   +2 more sources

A Weak Convergence Self-Adaptive Method for Solving Pseudomonotone Equilibrium Problems in a Real Hilbert Space

Mathematics, 2020
In this paper, we presented a modification of the extragradient method to solve pseudomonotone equilibrium problems involving the Lipschitz-type condition in a real Hilbert space.
Pasakorn Yordsorn, Poom Kumam, Habib ur Rehman, Abdulkarim Hassan Ibrahim   +3 more
doaj   +1 more source

Convergence conditions for Secant-type methods [PDF]

, 2010
summary:We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-
Hilout, Said, Argyros, Ioannis K.
core   +1 more source