Results 41 to 50 of about 3,220,405 (234)
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
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Periodic travelling wave solutions of discrete nonlinear Schr\"odinger equations
The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schr\"odinger equation (DNLS) on finite one-dimensional lattices is proved.
Hennig, Dirk
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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
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Fixed points and quasi-equilibrium problems
The paper is concerned with fixed-point theorems for compact acyclic maps on convex subsets of topological linear spaces. Applications to existence of equilibria and solutions of quasi-variational inequalities are also discussed. This extends, improves, and unifies previous work of, e.g., \textit{M.-P. Chen} and the author [Commun. Appl. Nonlin.
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The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings
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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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.
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This paper deals with existence and uniqueness results for a transient nonlinear radiative-conductive system in three-dimensional case. This system describes the heat transfer for a grey, semi-transparent and non-scattering medium with general boundary ...
Ghattassi, Mohamed +2 more
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Hybrid Iterations for the Fixed Point Problem and Variational Inequalities
A hybrid iterative algorithm with Meir-Keeler contraction is presented for solving the fixed point problem of the pseudocontractive mappings and the variational inequalities. Strong convergence analysis is given as limn→∞d(STxn,TSxn).
Li-Jun Zhu +3 more
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Tenth order boundary value problem solution existence by fixed point theorem
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
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In this paper we present proofs of basic results, including those developed so far by H. Bell, for the plane fixed point problem. Some of these results had been announced much earlier by Bell but without accessible proofs. We define the concept of the variation of a map on a simple closed curve and relate it to the index of the map on that curve: Index
Fokkink, Robbert J. +3 more
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