In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and...In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and systems of quasiequilibrium problems in noncompact L-convex spaces are obtained.展开更多
By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are prov...By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure. These theorems improve and generalize a number of important results in recent literature.展开更多
This paper examines the existence of equilibria for double infinite eonomies. S.F. Richardand S. Srivastava[1] have established the existence of equilibria for economies with infinitely countable consumers when commo...This paper examines the existence of equilibria for double infinite eonomies. S.F. Richardand S. Srivastava[1] have established the existence of equilibria for economies with infinitely countable consumers when commodity space is L∞(M,M,μ). However, most Banach Lattices as commodity spaces haven't interior points in their positive cones, so their result can't be applied to many cases. We here consider a general Banach Lattice as commodity space and introduce a concept of equiproperness on preferences. Under the assumption the existence of equilibrium for economy is established. Finally, we examine the existence of equilibria for production economies.展开更多
基金Supported by the Natural Science Foundation of Guizhou Province (Grant No.[2011]2093)the Natural Science Research Foundation of Guizhou Provincial Education Department (Grant No.2008072)
文摘In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and systems of quasiequilibrium problems in noncompact L-convex spaces are obtained.
基金Supported by the Guizhou Province Natural Science Foundation of China([2011]2093)the Natural Scientific Research Foundation of Guizhou Provincial Education Department((2012)058)
基金This work was supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department(2008072)the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)~~
文摘By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure. These theorems improve and generalize a number of important results in recent literature.
文摘This paper examines the existence of equilibria for double infinite eonomies. S.F. Richardand S. Srivastava[1] have established the existence of equilibria for economies with infinitely countable consumers when commodity space is L∞(M,M,μ). However, most Banach Lattices as commodity spaces haven't interior points in their positive cones, so their result can't be applied to many cases. We here consider a general Banach Lattice as commodity space and introduce a concept of equiproperness on preferences. Under the assumption the existence of equilibrium for economy is established. Finally, we examine the existence of equilibria for production economies.
