dc.creator | Wang, Xiangmei | es |
dc.creator | López Acedo, Genaro | es |
dc.creator | Li, Chong | es |
dc.creator | Yao, Jen-Chih | es |
dc.date.accessioned | 2019-03-07T07:44:49Z | |
dc.date.available | 2019-03-07T07:44:49Z | |
dc.date.issued | 2019-05-15 | |
dc.identifier.citation | Wang, X., López Acedo, G., Li, C. y Yao, J. (2019). Equilibrium problems on Riemannian manifolds with applications. Journal of Mathematical Analysis and Applications, 473 (2), 866-891. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/83899 | |
dc.description.abstract | We study the equilibrium problem on general Riemannian manifolds. The results on existence of solutions and on the convex structure of the solution set are established. Our approach consists in relating the equilibrium problem to a suitable variational inequality problem on Riemannian manifolds, and is completely different from previous ones on this topic in the literature. As applications, the corresponding results for the mixed variational inequality and the Nash equilibrium are obtained. Moreover, we formulate and analyze the convergence of the proximal point algorithm for the equilibrium problem. In particular, correct proofs are provided for the results claimed in J. Math. Anal. Appl. 388, 61-77, 2012 (i.e., Theorems 3.5 and 4.9 there) regarding the existence of the mixed variational inequality and the domain of the resolvent
for the equilibrium problem on Hadamard manifolds. | es |
dc.description.sponsorship | National Natural Science Foundation of China | es |
dc.description.sponsorship | Natural Science Foundation of Guizhou Province (China) | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | National Science Council of Taiwan | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 473 (2), 866-891. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Riemannian manifold | es |
dc.subject | Equilibrium problem | es |
dc.subject | Variational inequality problem | es |
dc.subject | Proximal point algorithm | es |
dc.title | Equilibrium problems on Riemannian manifolds with applications | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | 11571308 | es |
dc.relation.projectID | 11661019 | es |
dc.relation.projectID | 20161039 | es |
dc.relation.projectID | MTM2015-65242-C2-1P | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | 102-2115-M-039-003-MY3 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S0022247X19300149?token=085B15BCEE21C67C8E00175773970A21D820A2FC2BA21EEF2C990447EBC869D4A1F8B98A435E2FC60EEAF00917A60C16 | es |
dc.identifier.doi | 10.1016/j.jmaa.2018.12.073 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 29 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 473 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 866 | es |
dc.publication.endPage | 891 | es |