Best approximation of coincidence points in metric trees
Annales UMCS, Mathematica (2008)
- Volume: 62, Issue: 1, page 113-121
- ISSN: 2083-7402
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topBożena Piątek. "Best approximation of coincidence points in metric trees." Annales UMCS, Mathematica 62.1 (2008): 113-121. <http://eudml.org/doc/268044>.
@article{BożenaPiątek2008,
abstract = {In this work we present results on fixed points, pairs of coincidence points and best approximation for ε-semicontinuous mappings in metric trees. It is a generalization of the similar properties of upper and almost lower semicontinuous mappings.},
author = {Bożena Piątek},
journal = {Annales UMCS, Mathematica},
keywords = {Metric tree; semicontinuity; fixed points; coincidence points; R-tree; best approximation},
language = {eng},
number = {1},
pages = {113-121},
title = {Best approximation of coincidence points in metric trees},
url = {http://eudml.org/doc/268044},
volume = {62},
year = {2008},
}
TY - JOUR
AU - Bożena Piątek
TI - Best approximation of coincidence points in metric trees
JO - Annales UMCS, Mathematica
PY - 2008
VL - 62
IS - 1
SP - 113
EP - 121
AB - In this work we present results on fixed points, pairs of coincidence points and best approximation for ε-semicontinuous mappings in metric trees. It is a generalization of the similar properties of upper and almost lower semicontinuous mappings.
LA - eng
KW - Metric tree; semicontinuity; fixed points; coincidence points; R-tree; best approximation
UR - http://eudml.org/doc/268044
ER -
References
top- Aksoy, A. G., Khamsi, M. A., A selection theorem in metric trees, Proc. Amer. Math. Soc. 134 (2006), 2957-2966. Zbl1102.54022
- Aubin, J.-P., Frankowska, H., Set-valued Analysis, Birkhäuser Boston, Inc., Boston, MA, 1990. Zbl0713.49021
- Espínola, R., Kirk, W. A., Fixed point theorems in R-trees with applications to graph theory, Topology Appl. 153 (2006), 1046-1055.[WoS] Zbl1095.54012
- Kirk, W. A., Panyanak, B., Best approximation in R-trees, Numer. Funct. Anal. Optim. 28 (2007), 681-690.[WoS] Zbl1132.54025
- Kuczma, M., An Introduction to the Theory of Functional Equations and Inequalities. Cauchy's Equation and Jensen Inequality, Uniwersytet Śląski, Katowice, Państwowe Wydawnictwo Naukowe (PWN), Warszawa, 1985. Zbl0555.39004
- Markin, J. T., Fixed points, selections and best approximation for multivalued mappings inR-trees, Nonlinear Anal. 67 (2007), 2712-2716.[WoS] Zbl1128.47052
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