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Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems

Journal of Fixed Point Theory and Applications, 2016
In this paper, we introduce the strong convergence theorem for the viscosity approximation methods for solving the split common fixed-point problem in Hilbert spaces. As a consequence, we obtain strong convergence theorems for split variational inequality problems for Lipschitz continuous and monotone operators and split common null point problems for ...
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An Approach to Fixed-Point Smoothing Problems

IEEE Transactions on Aerospace and Electronic Systems, 1972
This paper examines the possibility of deriving fixed-point smoothing algorithms through exploitation of the known solutions of a higher dimensional filtering problem. It is shown that a simple state augmentation serves to imbed the given n-dimensional smoothing problem into a 2n-dimensional filtering problem.
Kanad K. Biswas, A. K. Mahalanabis
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Complete problems for fixed-point logics

Journal of Symbolic Logic, 1995
The notion of logical reducibilities is derived from the idea of interpretations between theories. It was used by Lovász and Gács [LG77] and Immerman [Imm87] to give complete problems for certain complexity classes and hence establish new connections between logical definability and computational complexity.However, the notion is also interesting in a ...
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The Königs Problem and Extreme Fixed Points

2009
We consider a linear-fractional mapping \( \mathcal{F}_A \) of the unit operator ball, which is generated by a triangular operator. Under the assumption that \( \mathcal{F}_A \) has an extreme fixed point C and under some natural restrictions on one of the diagonal elements of the operator block-matrix A, we prove the KE-property of \( \mathcal{F}_A \).
V. A. Khatskevich, V. A. Senderov
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On a problem of common approximate fixed points

Nonlinear Analysis: Theory, Methods & Applications, 2003
The nonstandard analysis methods are used to propose some new ideas concerning the problem of common approximate fixed points for a commuting family of nonexpansive mappings.
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Two Projection Algorithms for Solving the Split Common Fixed Point Problem

Journal of Optimization Theory and Applications, 2020
S. Reich, Truong Minh Tuyen
semanticscholar   +1 more source

Split Feasibility and Fixed Point Problems

2014
In this survey article, we present an introduction of split feasibility problems, multisets split feasibility problems and fixed point problems. The split feasibility problems and multisets split feasibility problems are described. Several solution methods, namely, CQ methods, relaxed CQ method, modified CQ method, modified relaxed CQ method, improved ...
Aisha Rehan   +2 more
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