Continuous dependence of fixed points of condensing maps
نویسندگان
چکیده
منابع مشابه
Fixed Points of Condensing Multivalued Maps in Topological Vector Spaces
The Schauder conjecture that every continuous single-valued map from a compact convex subset of a topological vector space into itself has a fixed point was stated in [12, Problem 54]. In a recent year, Cauty [2] gave a positive answer to this question by a very complicated approximation factorization. Very recently, Dobrowolski [3] established Cauty’s proof in a more accessible form by using t...
متن کاملStructure of the Fixed Point of Condensing Set-Valued Maps
In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.
متن کاملFixed Points for Generalized Condensing Maps in Abstract Convex Uniform Spaces
In this paper, we present some fixed point theorems for generalized condensing multimaps on KKM uniform spaces. We also obtain some new fixed point results for generalized condensing multimaps in KC class (or KKM class) in the setting of abstract convex uniform spaces. Mathematics Subject Classification: 47H10, 47H04, 46A16, 52A07, 54C60, 54H25, 55M20
متن کاملMaps of Continuous Spatial Dependence
Heterogeneity is one of the distinguishing features in spatial econometric models. It is a frequent problem in applied work and can be very damaging for statistical inference. In this paper, we focus on the problems implied by the existence of instabilities in the mechanism of spatial dependence in a spatial lag model, assuming that the other terms of the specification remain stable. We begin t...
متن کاملCurves of fixed points of trace maps
We study curves of fixed points for certain diffeomorphisms of R3 that are induced by automorphisms of a trace algebra. We classify these curves. There is a function E which is invariant under all such trace maps and the level surfaces Et : E = t are invariant; a point of Et will be said to have level t . The surface E1 is significant. Then most fixed points onE1 are actually on a curve γ of fi...
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: Journal of Mathematical Analysis and Applications
سال: 1974
ISSN: 0022-247X
DOI: 10.1016/0022-247x(74)90248-0