The contraction principle for set valued mappings on a metric space with a graph
Апстракт
Let (X, d) be a metric space and F : X hooked right arrow X be a set valued mapping. We obtain sufficient conditions for the existence of a fixed point of the mapping F in the metric space X endowed with a graph G such that the set V(G) of vertices of G coincides with X and the set of edges of G is E(G) = {(x, y) : (x, y) is an element of X x X}.
Кључне речи:
Set valued mapping / Metric space / Fixed point / Directed graphИзвор:
Computers & Mathematics With Applications, 2010, 60, 5, 1214-1219Издавач:
- Pergamon-Elsevier Science Ltd, Oxford
Финансирање / пројекти:
- Higher Education Commission of Pakistan [20-918/RD/07]
DOI: 10.1016/j.camwa.2010.06.003
ISSN: 0898-1221
WoS: 000281340600010
Scopus: 2-s2.0-78049273178
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Beg, Ismat AU - Butt, Asrna Rashid AU - Radojević, Slobodan PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1064 AB - Let (X, d) be a metric space and F : X hooked right arrow X be a set valued mapping. We obtain sufficient conditions for the existence of a fixed point of the mapping F in the metric space X endowed with a graph G such that the set V(G) of vertices of G coincides with X and the set of edges of G is E(G) = {(x, y) : (x, y) is an element of X x X}. PB - Pergamon-Elsevier Science Ltd, Oxford T2 - Computers & Mathematics With Applications T1 - The contraction principle for set valued mappings on a metric space with a graph EP - 1219 IS - 5 SP - 1214 VL - 60 DO - 10.1016/j.camwa.2010.06.003 ER -
@article{ author = "Beg, Ismat and Butt, Asrna Rashid and Radojević, Slobodan", year = "2010", abstract = "Let (X, d) be a metric space and F : X hooked right arrow X be a set valued mapping. We obtain sufficient conditions for the existence of a fixed point of the mapping F in the metric space X endowed with a graph G such that the set V(G) of vertices of G coincides with X and the set of edges of G is E(G) = {(x, y) : (x, y) is an element of X x X}.", publisher = "Pergamon-Elsevier Science Ltd, Oxford", journal = "Computers & Mathematics With Applications", title = "The contraction principle for set valued mappings on a metric space with a graph", pages = "1219-1214", number = "5", volume = "60", doi = "10.1016/j.camwa.2010.06.003" }
Beg, I., Butt, A. R.,& Radojević, S.. (2010). The contraction principle for set valued mappings on a metric space with a graph. in Computers & Mathematics With Applications Pergamon-Elsevier Science Ltd, Oxford., 60(5), 1214-1219. https://doi.org/10.1016/j.camwa.2010.06.003
Beg I, Butt AR, Radojević S. The contraction principle for set valued mappings on a metric space with a graph. in Computers & Mathematics With Applications. 2010;60(5):1214-1219. doi:10.1016/j.camwa.2010.06.003 .
Beg, Ismat, Butt, Asrna Rashid, Radojević, Slobodan, "The contraction principle for set valued mappings on a metric space with a graph" in Computers & Mathematics With Applications, 60, no. 5 (2010):1214-1219, https://doi.org/10.1016/j.camwa.2010.06.003 . .