Results 31 to 40 of about 11,322,894 (310)

Proximal Gradient Method for Solving Bilevel Optimization Problems

open access: yesMathematical and Computational Applications, 2020
In this paper, we consider a bilevel optimization problem as a task of finding the optimum of the upper-level problem subject to the solution set of the split feasibility problem of fixed point problems and optimization problems.
Seifu Endris Yimer   +2 more
doaj   +1 more source

Completeness Problem via Fixed Point Theory

open access: yesComplex Analysis and Operator Theory, 2023
AbstractThe purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-
Rizwan Anjum   +2 more
openaire   +2 more sources

Some Remarks on Multidimensional Fixed Point Theorems

open access: yes, 2014
MARTINEZ-MORENO, JUAN/0000-0002-3340-2781In this paper, we show that most of the multidimensional (including coupled, tripled, quadrupled) fixed point theorems in the context of (ordered) metric spaces are, in fact, immediate consequences of well-known ...
Karapinar, E.   +3 more
core   +2 more sources

Tenth order boundary value problem solution existence by fixed point theorem

open access: yesJournal of Inequalities and Applications, 2020
In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation.
Nicola Fabiano   +4 more
doaj   +1 more source

A Refined Inertial-like Subgradient Method for Split Equality Problems

open access: yesAppliedMath
This paper presents the convergence analysis of a newly proposed algorithm for approximating solutions to split equality variational inequality and fixed point problems in real Hilbert spaces.
Khushdil Ahmad   +2 more
doaj   +1 more source

Fixed point structures on a set-mapping pair and cartesian product

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2022
In this paper we study the following problem (Problem 4.2 in, I.A. Rus, Sets with structure, mappings and fixed point property: fixed point structures, Fixed Point Theory 23, No. 2 (2022), 689-706):
Rus Ioan A., Şerban Marcel-Adrian
doaj   +1 more source

The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings

open access: yesJournal of Applied Mathematics, 2013
We introduce and analyze the viscosity approximation algorithm for solving the split common fixed point problem for the strictly pseudononspreading mappings in Hilbert spaces.
Shubo Cao
doaj   +1 more source

Existence, Data Dependence and Stability of Fixed Points of Multivalued Maps in Incomplete Metric Spaces

open access: yesAnnales Mathematicae Silesianae, 2023
In this paper we formulate a setvalued fixed point problem by combining four prevalent trends of fixed point theory. We solve the problem by showing that the set of fixed points is nonempty.
Choudhury Binayak S.   +3 more
doaj   +1 more source

On a fixed point problem of Reich [PDF]

open access: yesProceedings of the American Mathematical Society, 1996
In this paper, we give an affirmative answer to a fixed point problem of S. Reich.
openaire   +1 more source

Hybrid steepest iterative algorithm for a hierarchical fixed point problem

open access: yesFixed Point Theory and Applications, 2017
The purpose of this work is to introduce and study an iterative method to approximate solutions of a hierarchical fixed point problem and a variational inequality problem involving a finite family of nonexpansive mappings on a real Hilbert space. Further,
Shamshad Husain, Nisha Singh
doaj   +1 more source

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