Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model
نویسندگان
چکیده
منابع مشابه
METRIC SUBREGULARITY OF COMPOSITION SET-VALUED MAPPINGS WITH APPLICATIONS TO FIXED POINT THEORY by
In this paper we underline the importance of the parametric subregularity property of setvalued mappings, de ned with respect to xed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at generalized compositions. Then we obtain, on...
متن کاملStationary Points for Set-valued Mappings on Two Metric Spaces
We give stationary point theorems of set-valued mappings in complete and compact metric spaces. The results in this note generalize a few results due to Fisher. 2000 Mathematics Subject Classification. 54H25.
متن کاملCalculus of tangent sets and derivatives of set-valued maps under metric subregularity conditions
In this paper we intend to give some calculus rules for tangent sets in the sense of Bouligand and Ursescu, as well as for corresponding derivatives of set-valued maps. Both first and second order objects are envisaged and the assumptions we impose in order to get the calculus are in terms of metric subregularity of the assembly of the initial data. This approach is different from those used in...
متن کاملMetric Regularity of Composition Set-valued Mappings: Metric Setting and Coderivative Conditions
The paper concerns a new method to obtain a direct proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the uni cation and re nement of several methods developed somehow separately in several works of the authors. In fact, this work is a synthesis and a precise specialization to a general situation of some techniques explored in the last years ...
متن کاملApproximation of endpoints for multi-valued mappings in metric spaces
In this paper, under some appropriate conditions, we prove some $Delta$ and strong convergence theorems of endpoints for multi-valued nonexpansive mappings using modified Agarwal-O'Regan-Sahu iterative process in the general setting of 2-uniformly convex hyperbolic spaces. Our results extend and unify some recent results of the current literature.
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: Set-Valued and Variational Analysis
سال: 2019
ISSN: 1877-0533,1877-0541
DOI: 10.1007/s11228-019-00522-3