Existence of Chebyshev centers, best $n$-nets and best compact approximants
نویسندگان
چکیده
منابع مشابه
Some results on convergence and existence of best proximity points
In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces
متن کاملCommon fixed points and best approximants in nonconvex domain
The aim of the paper is to show the validity of results of Imdad [7] in a domain which is not necessarily starshaped and mappings are not necessarily linear. Our results also improve, extend and generalize various existing known results in the literature.
متن کاملRAY SEQUENCES OF BEST RATIONAL APPROXIMANTS FOR Ixla
The convergence behavior of best unifonn rational approximations r;'n with numerator degree m and denominator degree n to the function Ixla, a > 0, on [-I, I] is investigated. It is assumed that the indices (m, n) progress along a ray sequence in the lower triangle of the Walsh table, i.e. the sequence of indices {(m, n)} satisfies m --c E [1,00) asm+If-OO. If In addition to the convergence beh...
متن کاملExistence of best proximity and fixed points in $G_p$-metric spaces
In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric spaces. As consequences of these results, we deduce fixed point results in $G_{p}$-metric spa...
متن کاملVariations on the Chebyshev and Lq Theories of Best Approximation
The classical Chebyshev theory of best uniform approximation to continuous functions by polynomials of degree <n was initiated by Chebyshev in [2]. This theory has a distinct advantage over the corresponding ones for L4-norms, 1 < q < co, in that the unique best approximant is characterized by a remarkable geometric property. Let f be a realvalued function, continuous on [0, 11, and, for n = 0,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1982
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1982-0654848-2