Generalized scalar equilibrium problem with applications to best and coupled best approximations
Само за регистроване кориснике
2017
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
In this paper, we present a new theorem on the existence of solutions for a three-function scalar equilibrium problem. Compactness is expressed in terms of the existence of feasibility sets of arbitrarily small measures of non-compactness, in addition to the completeness of the domain. Hereby we present some new results on the best approximations and coupled best approximations. We propose the generalized coupled coincidence problem and present a theorem on existence of its solution.
Кључне речи:
Scalar equilibrium problem / KKM map / best approximationsИзвор:
Journal of Fixed Point Theory and Applications, 2017, 19, 2, 1613-1624Издавач:
- SPRINGER Basel AG, Basel
DOI: 10.1007/s11784-016-0396-7
ISSN: 1661-7738
WoS: 000402869500029
Scopus: 2-s2.0-85007483007
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Mitrović, Zoran D. AU - Aranđelović, Ivan PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2519 AB - In this paper, we present a new theorem on the existence of solutions for a three-function scalar equilibrium problem. Compactness is expressed in terms of the existence of feasibility sets of arbitrarily small measures of non-compactness, in addition to the completeness of the domain. Hereby we present some new results on the best approximations and coupled best approximations. We propose the generalized coupled coincidence problem and present a theorem on existence of its solution. PB - SPRINGER Basel AG, Basel T2 - Journal of Fixed Point Theory and Applications T1 - Generalized scalar equilibrium problem with applications to best and coupled best approximations EP - 1624 IS - 2 SP - 1613 VL - 19 DO - 10.1007/s11784-016-0396-7 ER -
@article{ author = "Mitrović, Zoran D. and Aranđelović, Ivan", year = "2017", abstract = "In this paper, we present a new theorem on the existence of solutions for a three-function scalar equilibrium problem. Compactness is expressed in terms of the existence of feasibility sets of arbitrarily small measures of non-compactness, in addition to the completeness of the domain. Hereby we present some new results on the best approximations and coupled best approximations. We propose the generalized coupled coincidence problem and present a theorem on existence of its solution.", publisher = "SPRINGER Basel AG, Basel", journal = "Journal of Fixed Point Theory and Applications", title = "Generalized scalar equilibrium problem with applications to best and coupled best approximations", pages = "1624-1613", number = "2", volume = "19", doi = "10.1007/s11784-016-0396-7" }
Mitrović, Z. D.,& Aranđelović, I.. (2017). Generalized scalar equilibrium problem with applications to best and coupled best approximations. in Journal of Fixed Point Theory and Applications SPRINGER Basel AG, Basel., 19(2), 1613-1624. https://doi.org/10.1007/s11784-016-0396-7
Mitrović ZD, Aranđelović I. Generalized scalar equilibrium problem with applications to best and coupled best approximations. in Journal of Fixed Point Theory and Applications. 2017;19(2):1613-1624. doi:10.1007/s11784-016-0396-7 .
Mitrović, Zoran D., Aranđelović, Ivan, "Generalized scalar equilibrium problem with applications to best and coupled best approximations" in Journal of Fixed Point Theory and Applications, 19, no. 2 (2017):1613-1624, https://doi.org/10.1007/s11784-016-0396-7 . .