Show simple item record

dc.contributor.authorBalaj, Mircea
dc.contributor.authorO'Regan, Donal
dc.identifier.citationBalaj, Mircea; O'Regan, Donal (2010). Inclusion and intersection theorems with applications in equilibrium theory in g-convex spaces. Journal of the Korean Mathematical Society 47 (5), 1017-1029
dc.description.abstractIn this paper we obtain a very general theorem of rho-compatibility for three multivalued mappings, one of them from the class B. More exactly, we show that given a G-convex space Y, two topological spaces X and Z, a (binary) relation rho on 2(Z) and three mappings P : X (sic) Z, Q : Y (sic) Z and T is an element of B(Y, X) satisfying a set of conditions we can find ((x) over tilde, (y) over tilde) is an element of X x Y such that (x) over tilde is an element of T((y) over tilde) and P((x) over tilde)rho Q((y) over tilde). Two particular cases of this general result will be then used to establish existence theorems for the solutions of some general equilibrium problems.
dc.publisherThe Korean Mathematical Society
dc.relation.ispartofJournal of the Korean Mathematical Society
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.subjectg-convex space
dc.subjectthe better admissible class
dc.subjectfixed point
dc.subjectequilibrium problems
dc.subjectkkm type theorems
dc.subjectfixed-point theorems
dc.subjectcoincidence theorems
dc.subjectvectorial equilibria
dc.titleInclusion and intersection theorems with applications in equilibrium theory in g-convex spaces

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland