Results 31 to 40 of about 3,769,573 (257)
Fixed Point Theory: A Review [PDF]
Fixed points represent equilibrium states, stability, and solutions to a range of problems. It has been an active field of research. In this paper, we provide an overview of the main branches of fixed point theory. We discuss the key results and applications.
arxiv
A note on two fixed point problems
We extend the applicability of the Exterior Ellipsoid Algorithm for approximating n-dimensional fixed points of directionally nonexpanding functions. Such functions model many practical problems that cannot be formulated in the smaller class of globally nonexpanding functions.
Ch. Boonyasiriwat+2 more
openaire +2 more sources
Approximate Equilibrium Problems and Fixed Points [PDF]
We find a common element of the set of fixed points of a map and the set of solutions of an approximate equilibrium problem in a Hilbert space. Then, we show that one of the sequences weakly converges. Also we obtain some theorems about equilibrium problems and fixed points.
Hamid Mazaheri+1 more
openaire +2 more sources
Fixed point structures on a set-mapping pair and cartesian product
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
Tischler graphs of critically fixed rational maps and their applications [PDF]
A rational map $f:\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ on the Riemann sphere $\widehat{\mathbb{C}}$ is called critically fixed if each critical point of $f$ is fixed under $f$.
Hlushchanka, Mikhail
core +3 more sources
On solutions of inclusion problems and fixed point problems [PDF]
An inclusion problem and a fixed point problem are investigated based on a hybrid projection method. The strong convergence of the hybrid projection method is obtained in the framework of Hilbert spaces. Variational inequalities and fixed point problems of quasi-nonexpansive mappings are also considered as applications of the main results.
openaire +2 more sources
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
Exact Strongly Coupled Fixed Point in $g\varphi^4$ Theory
We show explicitly how a strongly coupled fixed point can be constructed in scalar $g\varphi^4$ theory from the solutions to a non-linear eigenvalue problem.
Hegg, Anthony, Phillips, Philip W.
core +1 more source
Decidability Results for the Boundedness Problem
We prove decidability of the boundedness problem for monadic least fixed-point recursion based on positive monadic second-order (MSO) formulae over trees.
Blumensath, Achim+2 more
core +1 more source
Hybrid steepest iterative algorithm for a hierarchical fixed point problem
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