Coincidence theorems involving composites of acyclic mappings in contractible spaces

AbstractSome coincidence theorems involving a new class of set-valued mappings containing compact composites of acyclic mappings defined on a contractible space is proved

Equilibria of noncompact generalized games with U-majorized preference correspondences

AbstractIn this paper, some existence theorems of equilibria for qualitative games and generalized games with an infinite number of agents with noncompact strategy sets and with U-majorized preference correspondences are proved. Our theorems improve some recent results in the literatures

Maximal element theorems in product FC-spaces and generalized games

AbstractLet I be a finite or infinite index set, X be a topological space and (Yi,{φNi})i∈I be a family of finitely continuous topological spaces (in short, FC-space). For each i∈I, let Ai:X→2Yi be a set-valued mapping. Some existence theorems of maximal elements for the family {Ai}i∈I are established under noncompact setting of FC-spaces. As applications, some equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in noncompact FC-spaces. These theorems improve, unify and generalize many important results in recent literature

Parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings

AbstractA new class of parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings is introduced. By applying resolvent operator technique of h-maximal monotone mapping and the property of fixed point set of set-valued contractive mappings, the behavior and sensitivity analysis of the solution set of the parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings are studied. The continuity and Lipschitz continuity of the solution set with respect to the parameter are proved under suitable assumptions. Our approach and results are new and improve, unify and extend previous many known results in this field

Iterative process with errors to nonlinear Ф-strongly accretive operator equations in arbitrary Banach spaces

AbstractLet X be an arbitrary Banach space and T : D(T) ⊂ X → X be a Lipschitz ф-strongly accretive operator with domain D(T) and range R(T). The Mann and Ishikawa type iterative sequences with errors which strongly converge to the unique solution of the equation Tx = f under weaker conditions are given. The related results deal with the problems that the Mann and Ishikawa iterative sequences with errors strongly converge to the unique fixed point of Lipschitz ф-hemicontractive operators

Generalized variational inequalities and generalized quasi-variational inequalities

AbstractA very general minimax inequality is first established. Three generalized variational inequalities are then derived, which improve those obtained by Tan and Browder. By applying a fixed point theorem of Himmelberg, two generalized quasi-variational inequalities are also proved, one of which generalizes those of Shih-Tan to the non-compact case with much weaker hypotheses and in a more general setting

Generalized L-KKM type theorems in L-convex spaces with applications

AbstractIn this paper, a new notion of generalized L-KKM mappings is introduced. Some generalized L-KKM type theorems for generalized L-KKM mappings with finitely closed (or compactly closed) values and with finitely open (or compactly open) values are established in L-convex spaces. As applications, some Ky Fan type matching theorems, fixed-point theorems and minimax inequality are obtained in L-convex spaces. These results generalize a number of known results in recent literature

Investigation of ultra-thin Al₂O₃ film as Cu diffusion barrier on low-k (k=2.5) dielectrics

Ultrathin Al(2)O(3) films were deposited by PEALD as Cu diffusion barrier on low-k (k=2.5) material. The thermal stability and electrical properties of the Cu/low k system with Al(2)O(3) layers with different thickness were studied after annealing. The AES, TEM and EDX results revealed that the ultrathin Al(2)O(3) films are thermally stable and have excellent Cu diffusion barrier performance. The electrical measurements of dielectric breakdown and TDDB tests further confirmed that the ultrathin Al(2)O(3) film is a potential Cu diffusion barrier in the Cu/low-k interconnects system