Approximation relative to an ultra function
Tulsi Dass Narang (1986)
Archivum Mathematicum
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Displaying similar documents to “On -best approximation in topological spaces”
Approximation relative to an ultra function
Proximinality and co-proximinality in metric linear spaces
T. W. Narang, Sahil Gupta (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces.
Proximinality and co-proximinality in metric linear spaces
T.D. Narang, Sahil Gupta (2015)
Annales UMCS, Mathematica
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As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces
On the approximation by compositions of fixed multivariate functions with univariate functions
Vugar E. Ismailov (2007)
Studia Mathematica
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The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.
On the Chebyshev alternation theorem.
Manuel Fernández, María L. Soriano (1995)
Extracta Mathematicae
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Best approximants for bounded functions and the lattice operations.
A. O. Chiacchio, J. B. Prolla, M. S. M. Roversi (1992)
Revista Matemática de la Universidad Complutense de Madrid
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Approximation of set-valued functions by single-valued one
Ivan Ginchev, Armin Hoffmann (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Best coapproximation in metric spaces.
Narang, T.D. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Best approximations, fixed points and parametric projections
Tiziana Cardinali (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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If f is a continuous seminorm, we prove two f-best approximation theorems for functions Φ not necessarily continuous as a consequence of our version of Glebov's fixed point theorem. Moreover, we obtain another fixed point theorem that improves a recent result of [4]. In the last section, we study continuity-type properties of set valued parametric projections and our results improve recent theorems due to Mabizela [11].