COINCIDENCE THEOREMS INVOKING COMPOSITES OF ACYCLIC MAPPINGS AND APPLICATIONS  

作　　者：丁协平 

出　　处：《Acta Mathematica Scientia》1999年第1期53-61,共9页数学物理学报（B辑英文版）

摘　　要：Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elements and solutions of abstract variational inequalities, and best approximation theorems are proved. These theorems improve and generalize a number of known results in recent literature.Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elements and solutions of abstract variational inequalities, and best approximation theorems are proved. These theorems improve and generalize a number of known results in recent literature.

关 键 词：Coincidence theorem maximal element variational inequality best approximation contractible space composites of acyclic mappings 

分 类 号：O157[理学—数学]