Results 31 to 40 of about 727,489 (238)
On projections of metric spaces
J. Comput. Geom., 2011 Journal of Computational Geometry, Vol. 5 No. 1 (2014)
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Metric Projection onto a Lattice in L1
, 1994 In this note it is shown that the L1 metric projection onto a lattice is Lipschitz continuous, and that it has a Lipschitz continuous ...
Sahab, S., Huotari, R.
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METRIC PROJECTIONS IN LINEAR METRIC SPACES
Demonstratio Mathematica, 1990 Summary: Various properties of the metric projection are known in normed linear spaces. \textit{G. Pantelidis} [Math. Ann. 184, 30--48 (1969; Zbl 0175.42001)] discussed some of these properties in linear metric spaces. In this paper we also discuss some necessary and sufficient conditions for the metric projections to be continuous and Lipschitzian in ...
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Metric projections and the alternating projection method in banach spaces
, 2020 This thesis is concerned with properties of the metric projection and its iterates in Banach spaces. It extends a result by Stiles concerning the convergence behaviour of the alternating projection method from finite-dimensional spaces to some infinite ...
Luggin, Franz
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On the distance between two Chebyshev sets in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1997 The paper answers a question concerning the distance between two Chebyshev sets in some Banach spaces.
Wagdy G. El-Sayed
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On the Norm of the Metric Projections
Journal of Approximation Theory, 1999 Let \(X\) be a Banach space and \(M\) a subspace of \(X\). Define \[ P_M(x)= \{y\in M:\| x-y\|= d(x,M)\}. \] The set-valued mapping \(P_M:X\to 2^M\), thus defined is called the metric projection onto \(M\). The space \(M\) is called proximinal if \(P_M(x)\neq \emptyset\) for every \(x\in X\). The norm of \(P_M\) is defined by \[ \| P_M\|= \sup\{\| y\|:
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Differentiability of the metric projection in finite-dimensional Euclidean space
, 1973 The metric projection on a closed subset of a finite-dimensional Euclidean space is almost everywhere differentiable.
Edgar Asplund
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
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Approximate Common Solutions for a Family of Inverse Strongly Monotone Mappings
AxiomsIn 2003 W. Takahashi and M. Toyoda showed the weak convergence of an iteration process of finding the solution of a variational inequality problem for an inverse strongly monotone mapping.
Alexander J. Zaslavski
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
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