Results 201 to 210 of about 3,220,405 (234)

Fixed-point theorems and equilibrium problems

Nonlinear Analysis: Theory, Methods & Applications, 2001
Let \(E\) be a real topological space, \(X\subset E\) a nonempty convex subset, \(Z\) a locally convex topological vector space, \(P\subset Z\) a closed convex cone, with \(\text{Int}(P)\neq\emptyset\) and \(P\neq Z\). On \(Z\) a vector ordering is defined by means of: \(z\preceq 0\Leftrightarrow z\in -P\), \(z\succeq 0\Leftrightarrow z\in P\), \(z ...
Lai-Jiu Lin, Zenn-Tsuen Yu
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On a problem of common approximate fixed points

Nonlinear Analysis: Theory, Methods & Applications, 2003
This paper presents a new approach to the problem of common approximate fixed points for a commuting family of nonexpansive mappings based on the concept of neocompact sets introduced by \textit{S. Fajardo} and \textit{H. J. Keilser} [Adv. Math. 120, 191--257 (1996; Zbl 0860.60028)].
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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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A fixed-point representation of the generalized complementarity problem [PDF]

Journal of Optimization Theory and Applications, 1985
\textit{B. C. Eaves} [Math. Programming, 1, 68-75 (1971; Zbl 0227.90044)] and \textit{M. Kojima} [ibid. 9, 257-277 (1975; Zbl 0347.90039)] have separately provided fixed-point representations of the standard complementarity problem. Although the mappings used to describe their representations appear to be different, this paper shows they are ...
E. L. Peterson, Shu-Cherng Fang
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Interval methods for fixed-point problems [PDF]

Numerical Functional Analysis and Optimization, 1987
Interval analysis is applied to the fixed-point problem x=ϕ(x) for continuous ϕ:S→S, where the space S is constructed from Cartesian products of the set R of real numbers, with componentwise definitions of arithmetic operations, ordering, and the product topology. With the aid of an interval inclusion φ:IS → IS in the interval space IS corresponding to
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Koenigs problem and extreme fixed points

Functional Analysis and Its Applications, 2010
This note continues some previous studies by the authors. We consider a linear-fractional mapping \( F_A :K \to K \) generated by a triangular operator, where \( K \) is the unit operator ball and the fixed point C of the extension of \( F_A \) to \( \overline K \) is either an isometry or a coisometry.
V. A. Senderov, V. A. Khatskevich
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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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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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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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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, Qamrul Hasan Ansari, Qamrul Hasan Ansari   +2 more
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