Results 31 to 40 of about 10,928,752 (312)

Theory and Application of Fixed Point [PDF]

, 2021
In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and ...

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Completeness Problem via Fixed Point Theory

Complex 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, Mujahid Abbas, Hüseyin Işık   +2 more
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Some Remarks on Multidimensional Fixed Point Theorems

, 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., Roldan, C., Roldan, A., Martinez-Moreno, J.   +3 more
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Tenth order boundary value problem solution existence by fixed point theorem

Journal 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, Nebojša Nikolić, Thenmozhi Shanmugam, Stojan Radenović, Nada Čitaković   +4 more
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On a Method for Optimizing Controlled Polynomial Systems with Constraints

Mathematics, 2023
A new optimization approach is considered in the class of polynomial in-state optimal control problems with constraints based on nonlocal control improvement conditions, which are constructed in the form of special fixed-point problems in the control ...
Alexander Buldaev, Dmitry Trunin
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A Refined Inertial-like Subgradient Method for Split Equality Problems

AppliedMath
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, Khurram Shabbir, Khadija Ahsan   +2 more
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The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings

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

Annales 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., Metiya Nikhilesh, Kundu Sunirmal, Khatua Debashis   +3 more
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Hybrid steepest iterative algorithm for a hierarchical fixed point problem

Fixed 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
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On a fixed point problem of Reich [PDF]

Proceedings of the American Mathematical Society, 1996
In this paper, we give an affirmative answer to a fixed point problem of S. Reich.
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