# Continuous selections and approximations in α-convex metric spaces

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2007)

- Volume: 27, Issue: 2, page 265-294
- ISSN: 1509-9407

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topA. Kowalska. "Continuous selections and approximations in α-convex metric spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 27.2 (2007): 265-294. <http://eudml.org/doc/271154>.

@article{A2007,

abstract = {In the paper, the notion of a generalized convexity was defined and studied from the view-point of the selection and approximation theory of set-valued maps. We study the simultaneous existence of continuous relative selections and graph-approximations of lower semicontinuous and upper semicontinuous set-valued maps with α-convex values having nonempty intersection.},

author = {A. Kowalska},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {generalized convexity; selections; relative selections; graph-approximations},

language = {eng},

number = {2},

pages = {265-294},

title = {Continuous selections and approximations in α-convex metric spaces},

url = {http://eudml.org/doc/271154},

volume = {27},

year = {2007},

}

TY - JOUR

AU - A. Kowalska

TI - Continuous selections and approximations in α-convex metric spaces

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2007

VL - 27

IS - 2

SP - 265

EP - 294

AB - In the paper, the notion of a generalized convexity was defined and studied from the view-point of the selection and approximation theory of set-valued maps. We study the simultaneous existence of continuous relative selections and graph-approximations of lower semicontinuous and upper semicontinuous set-valued maps with α-convex values having nonempty intersection.

LA - eng

KW - generalized convexity; selections; relative selections; graph-approximations

UR - http://eudml.org/doc/271154

ER -

## References

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