Results 191 to 200 of about 12,815 (241)

Equivariant multivalues maps

Russian Mathematical Surveys, 1994
The author presents an interesting generalization of the Borsuk antipodal theorem from the case of single-valued equivariant mappings to the case of multivalued equivariant mappings.
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Multivalued -weakly Picard mappings

Nonlinear Analysis: Theory, Methods & Applications, 2007
By introducing the concept of multi-valued \(f\)-weak contraction and generalized multi-valued \(f\)-weak contraction, the author obtains two coincidence fixed point theorems which include, in particular, two common fixed point theorems. If \(f=I\), the identity map, one obtains the results co-authored by the reviewer: \textit{M. Berinde} and \textit{V.
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Multivalued Analysis and Differential Properties of Multivalued Mappings

Journal of Mathematical Sciences, 2003
Let \(X\) and \(Y\) be finite-dimensional spaces; \(F: X \rightarrow 2^Y\) a multimap and \(f: X \times Y \rightarrow \mathbb{R}\) a function. The functions \(\varphi, \Phi : X \rightarrow \mathbb{R} \cup \{\pm \infty\},\) \[ \varphi (x) = \inf \{f(x,y) | y \in F(x)\}, \] \[ \Phi (x) = \sup \{f(x,y) | y \in F(x)\} \] are said to be marginal functions ...
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Multivalued Possibilities Mappings

1990
Abstraction mappings are one of the major tools used to construct correctness proofs for concurrent algorithms. Several examples are given of situations in which it is useful to allow the abstraction mappings to be multivalued. The examples involve algorithm optimization, algorithm distribution, and proofs of time bounds.
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Lower Semicontinuity of Multivalued Linearization Mappings

SIAM Journal on Control, 1973
Many results in mathematical programming require lower semicontinuity of the multi-valued function obtained from a constraint set by replacing the functions defining the set by their linearizations about a point. In this paper we give a simple sufficient condition, involving the gradients of the active linearized constraints, for this property to hold.
Robinson, Stephen M., Meyer, Robert R.
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