As important applications of minimax-type inequalities for a family of functions in [3], in the present paper there are given a number of existence theorems on simultaneous solutions to fixed point and minimax-type in...As important applications of minimax-type inequalities for a family of functions in [3], in the present paper there are given a number of existence theorems on simultaneous solutions to fixed point and minimax-type inequality problems and to fixed point and variational-type inequality problems. not only abolishing the paracompactness hypothesis on the underlying space and weak- ening the others in the results in[1], but also making them still nicer in form with still more concise and straightforward proofs.展开更多
In this paper we give 4 futher generalization of the KKM theorem in tying up with a strongly decomposable mapping, hence some equivalent forms such as KKM-type theorems, matching theorems and coincidence theorems.
In the present paper there are given a number of minimax-type inequalities for a family of functions,involving two multivalued mappings,one being strongly decomposable and the other monotone.Hence some applications to...In the present paper there are given a number of minimax-type inequalities for a family of functions,involving two multivalued mappings,one being strongly decomposable and the other monotone.Hence some applications to the variational-type inequality theory and to the fixed point theory.展开更多
基金Supported both by the National Natural Science Foundation of Chinaby the Institute of Mathematics. Academia Sinica
文摘As important applications of minimax-type inequalities for a family of functions in [3], in the present paper there are given a number of existence theorems on simultaneous solutions to fixed point and minimax-type inequality problems and to fixed point and variational-type inequality problems. not only abolishing the paracompactness hypothesis on the underlying space and weak- ening the others in the results in[1], but also making them still nicer in form with still more concise and straightforward proofs.
文摘In this paper we give 4 futher generalization of the KKM theorem in tying up with a strongly decomposable mapping, hence some equivalent forms such as KKM-type theorems, matching theorems and coincidence theorems.
基金Supported both by the National Natural Science Foundation of China and by the Institute of Mathematics,Academia Sinica
文摘In the present paper there are given a number of minimax-type inequalities for a family of functions,involving two multivalued mappings,one being strongly decomposable and the other monotone.Hence some applications to the variational-type inequality theory and to the fixed point theory.
