Results 31 to 40 of about 429,862 (310)

On the Complexity of 2D Discrete Fixed Point Problem

Theoretical Computer Science, 2006
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Xi Chen 0001, Xiaotie Deng
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On the problem of discontinuity at fixed point

Filomat, 2020
In this paper we obtain two known solutions of the problem of continuity of contractive mappings at fixed point under alternative set of conditions; these known solutions followed the first solution of Rhoades problem by Pant in 1999. We show that these two solutions characterize completeness and we also compare these with some recent ...
Joshi, Bharti, Pant, Durgesh, Padaliya, S. K., Pathak, Govind   +3 more
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Circumscribed ellipsoid algorithm for fixed-point problems [PDF]

Mathematics of Computation, 2010
We present a new implementation of the almost optimal Circumscribed Ellipsoid (CE) Algorithm for approximating fixed points of nonexpanding functions, as well as of functions that may be globally expanding, however, are nonexpanding/contracting in the direction of fixed points.
Ch. Boonyasiriwat, Krzysztof A. Sikorski, Chey-Woei Tsay   +2 more
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Proximal Gradient Method for Solving Bilevel Optimization Problems

Mathematical 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, Poom Kumam, Anteneh Getachew Gebrie   +2 more
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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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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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Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data [PDF]

, 2013
We apply the trial method for the solution of Bernoulli’s free boundary problem when the Dirichlet boundary condition is imposed for the solution of the underlying Laplace equation and the free boundary is updated according to the Neumann boundary ...
Giannoula Mitrou, Mitrou, Giannoula, Helmut Harbrecht, Harbrecht, Helmut   +3 more
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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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Existence of a fractal of iterated function systems containing condensing functions for the degree of nondensifiability

, 2023
From a fixed point theorists’ view, Hutchinson considered a fractal set as a fixed point problem and applied the Banach contraction principle to prove its existence.
Rocha Martín, Juan, Sadarangani, Kishin, Caballero Mena, Josefa   +2 more
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Split Common Fixed Point Problem [PDF]

, 2020
We introduce the generalized split common fixed point problem GSCFPP and show that the GSCFPP for nonexpansive operators is equivalent to the common fixed point problem.
Cuijie Zhang
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