Zobrazeno 1 - 10
of 32
pro vyhledávání: '"V. M. Sehgal"'
Autor:
F. Jafari, V. M. Sehgal
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 21, Iss 1, Pp 133-137 (1998)
We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prove a new fixed point theorem for set-valued maps on arbitrary top
Externí odkaz:
https://doaj.org/article/f0d886e162ed4845bec6b3d681b77625
Autor:
V. M. Sehgal, S. P. Singh
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 4, Pp 745-748 (1995)
In this paper, the KKM principle has been used to obtain a theorem on the best approximation of a continuous function with respect to an affine map. The main result provides extensions of some well-known fixed point theorems.
Externí odkaz:
https://doaj.org/article/61903ab68572479990a84ddcf2695028
Autor:
V. M. Sehgal
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 8, Iss 4, Pp 693-696 (1985)
Let S be a convex, weakly compact subset of a locally convex Hausdorff space (E,τ) and f:S→E be a continuous multifunction from its weak topology ω to τ. let ρ be a continuous seminorm on (E,τ) and for subsets A, B of E let p(A,B)=inf{p(x−y)
Externí odkaz:
https://doaj.org/article/8dfc1a3e7f7b49c5b9b5be938d158bd1
Autor:
S. A. Husain, V. M. Sehgal
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 1, Iss 1, Pp 57-61 (1978)
A well-known result of Boyd and Wong [1] on nonlinear contractions is extended. Several other known results are obtained as special cases.
Externí odkaz:
https://doaj.org/article/67cdb861ef2a42808209b448604e649d
Autor:
V. M. Sehgal
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2, Iss 3, Pp 473-480 (1979)
Let S be a subset of a metric space (X,d) and T:S→X be a mapping. In this paper, we define the notion of lower directional increment QT(x,y] of T at x∈S in the direction of y∈X and give sufficient conditions for T to have a fixed point when QT(
Externí odkaz:
https://doaj.org/article/de9f2f1daa7a48b78225f4d59f8780b2
Autor:
V. M. Sehgal
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 3, Iss 3, Pp 455-460 (1980)
Let S be a subset of a metric space X and let B(X) be the class of all nonempty bounded subsets of X with the Hausdorff pseudometric H. A mapping F:S→B(X) is a directional contraction iff there exists a real α∈[0,1) such that for each x∈S and
Externí odkaz:
https://doaj.org/article/9db86889443244d7a7764c440f8b2f36
Autor:
V. M. Sehgal
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 5, Iss 2, Pp 301-304 (1982)
Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h
Externí odkaz:
https://doaj.org/article/641f111511c84147977ae2021206990a
Publikováno v:
Proceedings of Indian National Science Academy, Vol 14, Iss 5 (2015)
A COINCIDENCE THEOREM FOR TOPOLOGICAL VECTOR SPACES
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::6aa06dd42d83ed4ebce43809fa514b1d
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/20005a7c_565.pdf
https://insa.nic.in/writereaddata/UpLoadedFiles/PINSA/20005a7c_565.pdf
Autor:
V. M. Sehgal, F. Jafari
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 21, Iss 1, Pp 133-137 (1998)
We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prove a new fixed point theorem for set-valued maps on arbitrary top
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6906925fe2b8c4bfde8c26124a1c1f72
https://doi.org/10.1155/s0161171298000179
https://doi.org/10.1155/s0161171298000179
Autor:
S. P. Singh, V. M. Sehgal
Publikováno v:
Approximation Theory, Spline Functions and Applications ISBN: 9789401051644
A brief survey of the best simultaneous approximation in normed linear spaces is given. We give results which extend and unify some of the earlier work. Several results are obtained as corollaries.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f2ee49bcf6545d7a5b9fc8e9bebafaa
https://doi.org/10.1007/978-94-011-2634-2_33
https://doi.org/10.1007/978-94-011-2634-2_33
