Results 11 to 20 of about 496,079 (237)

Common fixed points under Lipschitz type condition [PDF]

Kathmandu University Journal of Science, Engineering and Technology, 1970
The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved. Mathematics Subject Classification: 54 H 25.
Vyomesh Pant
openaire   +3 more sources

Extended Local Convergence for the Combined Newton-Kurchatov Method Under the Generalized Lipschitz Conditions

Mathematics, 2019
We present a local convergence of the combined Newton-Kurchatov method for solving Banach space valued equations. The convergence criteria involve derivatives until the second and Lipschitz-type conditions are satisfied, as well as a new center-Lipschitz-
Ioannis K. Argyros, Stepan Shakhno
doaj   +2 more sources

On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions

Mathematics, 2021
The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces.
Akanksha Saxena, Ioannis K. Argyros, Jai P. Jaiswal, Christopher Argyros, Kamal R. Pardasani   +4 more
doaj   +2 more sources

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

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

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

Approximate tri-quadratic functional equations via Lipschitz conditions [PDF]

, 2017
summary:In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri ...
Nikoufar, Ismail
core   +1 more source

Iterated commutators of multilinear Calderón–Zygmund maximal operators on some function spaces

Journal of Inequalities and Applications, 2019
Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with functions in Lipschitz spaces.
Zengyan Si, Pu Zhang
doaj   +1 more source