Compactness of Fixed Point Maps and the Ball-Marsden-Slemrod Conjecture
نویسندگان
چکیده
Given a parameter dependent fixed point equation , we derive an abstract compactness principle for the map under assumptions that (i) can be solved by contraction and (ii) is compact . This result applied to infinite-dimensional, semilinear control systems their reachable sets. More precisely, extend noncontrollability of Ball, Marsden, Slemrod [SIAM J. Control Optim., 20 (1982), pp. 575–597] systems. First consider -controls, Subsequently analyze case
منابع مشابه
Structure 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 کاملCommon fixed point of four maps in $S_b$-Metric spaces
In this paper is introduced a new type of generalization of metric spaces called $S_b$ metric space. For this new kind of spaces it has been proved a common fixed point theorem for four mappings which satisfy generalized contractive condition. We also present example to confirm our theorem.
متن کاملAPPROXIMATE FIXED POINT IN FUZZY NORMED SPACES FOR NONLINEAR MAPS
We de ne approximate xed point in fuzzy norm spaces and prove the existence theorems, we also consider approximate pair constructive map- ping and show its relation with approximate fuzzy xed point.
متن کاملIndicator of $S$-Hausdorff metric spaces and coupled strong fixed point theorems for pairwise contraction maps
In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...
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: Siam Journal on Control and Optimization
سال: 2023
ISSN: ['0363-0129', '1095-7138']
DOI: https://doi.org/10.1137/21m1461848