Nov 2, 2017 - 19th century [1]. Johann Carl Friedrich Gauss observed the connection between the arithmetic-geometric mean iteration and an elliptic integral.
(ii) If X is a locally compact separable ANR(metric)-space, then X x Q x [0,1) has CIPH. (iii) A denumerable product of nondegenerate compact AR(metric)-spaces.
Oct 3, 2012 - Program of Mathematics and Statistics,. Louisiana Tech University, P.O. Box 10348, Ruston, LA 71272, USA. E-mail: [email protected].
Degree, fixed point index, transfer, equivariant fixed point theory,. /?0(G")-graded ..... (up to the isomorphism) so defined as in the proof of op. cit. (6.10). As in op.
G-modules and V c N x E is open and invariant, then every continuous map f: V â> M x E admits a decomposition over B, where U is open in NxLxB for some ...
Ramanujan Institute for Advanced Study in Mathematics, University of ... Department of Mathematics, Indian Institute of Technology, Tirupati 517 506, India.
Metrizable topological groups are known to have CIP if they are locally compact ... and that of discrete abelian groups according to Pontryagin and van Kampen.
GU J Sci, 29(1):95-107 (2016)/ Rashmi JAIN, R. D. DAHERIYA, Manoj UGHAD the existence and ..... point xâ in X by setting b = c = 0 and a = k in condition. (4).
Jan 4, 2016 - It is a consequence of existing literature that least and greatest ... a syntactically monotone formula Ï(x) converges both to its least fixed-point ...
Jun 6, 2002 - 1987 from Goshen College and the Ph.D. de- gree (Acoustics) in 1993 from The Pennsylva- nia State University. From 1993 until 1996, he was ...
Abstract. We take a fresh look at the important CaristiâKirk Fixed Point. Theorem and link it to the recently developed theory of ball spaces, which provides ...
ordered with a least element has the least fixed point property and the least common fixed point property for every finite commutative family of self monotone ...
Jan 8, 2014 - H. Hosseinzadeh, Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran; e-mail: hasan [email protected].
Introduction. We are interested in the continuous dependence of entropy solutions to the full Euler equations on various physical parameters by scaling.
concept of F-contraction and proved a fixed point theorem which generalizes the ... present some new fixed point results for F-expanding mappings, especially ...
Ordered metric space; Pata-type contraction; tripled fixed point. c 2014 Authors retain the copyrights of their papers, and all open access articles are distributed ...
ABSTRACT. A fixed point theorem of Mustafa and Obiedat (2010) is proved for a self-map f on a G-metric space (X,G), using the well- known infimum property of ...
The type of arithmetic used (fixed or floating point). • The controller realization.
Graduate Course on Embedded Control Systems – Pisa 8-12 June 2009 ...
Sep 5, 2007 - existence of fixed points for arbitrary mappings T : X −→ X is con- jectured ... and A ⊆ X, we clearly have. (5). { n ∈ N+ | Tn(x) ∈ A } = φ if x /∈ A.
L. DWIJENDRA AND YUMNAM ROHEN. Abstract ... spaces in the sence of George and Veeramani with continuous t-norm â defined by a â b = min{a, b} for all ...
prove the convergence of the sequence of fixed point sets of a convergent sequence of ... by d. We assume that the family of set valued maps Fk, k=0, I, â¡ â¡ â¡ ,.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 38, Number 3, May 1973
CONTINUOUS DEPENDENCE OF FIXED POINT SETS J. T. MARKIN Abstract. The stability of the fixed point sets of a uniformly convergent sequence of set valued contractions is proved under the assumption that the maps are defined on a closed bounded subset B of Hubert space and take values in the family of nonempty closed convex subsets of B.
In [1] the convergence of a sequence of fixed points of a convergent sequence of set valued contractions was investigated in a metric space setting. By restricting the underlying space to be a Hubert space we prove the convergence of the sequence of fixed point sets of a convergent sequence of set valued contractions. This also extends a similar result for point valued maps [2, Theorem (10.1.1)] to the set valued case. Let A be a closed bounded subset of a Hubert space H, d the norm of H, and D the Hausdorff metric on the closed subsets of A generated by d. We assume that the family of set valued maps Fk, k=0, I, ■■■, satisfy (1) Fk(x) is a nonempty closed convex subset of A for each xeA. (2) Each Fk is a set valued contraction, i.e. there is a^e [0, 1) such that D(Fk(x), Fk(y))
