Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of（partially） maximai element and equilibrium point are discussed as ap...Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of（partially） maximai element and equilibrium point are discussed as applications of above results.展开更多
We introduce the concept of a weakly G-quasiconvex map with respect to a map on generalized convex spaces and use the concept to prove coincidence point theorems and almost-like coincidence point theorems. As applicat...We introduce the concept of a weakly G-quasiconvex map with respect to a map on generalized convex spaces and use the concept to prove coincidence point theorems and almost-like coincidence point theorems. As applications of the above results, we derive almost fixed point theorems and fixed point theorem. These main results generalize and improve some known results in the literature.展开更多
In this paper, we study Jensen’s inequality under f-expectation, which is a nonlinear expectation generated by backward stochastic differential equations(BSDEs) with jumps. We connect f-convex functions with the visc...In this paper, we study Jensen’s inequality under f-expectation, which is a nonlinear expectation generated by backward stochastic differential equations(BSDEs) with jumps. We connect f-convex functions with the viscosity solutions of a kind of integral partial differential equations(IPDEs) with non-local terms.And find that under Lipschitz condition, the f-convex function is still convex in the usual sense, i.e., the jumps shrink the range of ‘convex’ functions.展开更多
The definitions of S-KKM property and Γ-invariable property for multi-valued map- ping are established, and by which, a new almost fixed point theorem and several fixed point theorems on Haudorff locally G-convex uni...The definitions of S-KKM property and Γ-invariable property for multi-valued map- ping are established, and by which, a new almost fixed point theorem and several fixed point theorems on Haudorff locally G-convex uniform space are obtained, and a quasi-variational inequality theorem for acyclic map on Hausdorff Φ-space is proved. Our results improve and generalize the corresponding results in recent literatures.展开更多
基金Supported by the National Natural Science Foundation of China（10361005）
文摘Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of（partially） maximai element and equilibrium point are discussed as applications of above results.
基金Supported by the Science Foundation of Education Committee of Jilin Province （20111434]）
文摘We introduce the concept of a weakly G-quasiconvex map with respect to a map on generalized convex spaces and use the concept to prove coincidence point theorems and almost-like coincidence point theorems. As applications of the above results, we derive almost fixed point theorems and fixed point theorem. These main results generalize and improve some known results in the literature.
基金Supported by the National Natural Science Foundation of China(No.11171186 11601387+1 种基金 11601386)National Key R&D Program of China(No.2018YFA0703900)
文摘In this paper, we study Jensen’s inequality under f-expectation, which is a nonlinear expectation generated by backward stochastic differential equations(BSDEs) with jumps. We connect f-convex functions with the viscosity solutions of a kind of integral partial differential equations(IPDEs) with non-local terms.And find that under Lipschitz condition, the f-convex function is still convex in the usual sense, i.e., the jumps shrink the range of ‘convex’ functions.
基金the National Natural Science Foundation of China (No.10361005)
文摘The definitions of S-KKM property and Γ-invariable property for multi-valued map- ping are established, and by which, a new almost fixed point theorem and several fixed point theorems on Haudorff locally G-convex uniform space are obtained, and a quasi-variational inequality theorem for acyclic map on Hausdorff Φ-space is proved. Our results improve and generalize the corresponding results in recent literatures.
