A New Fixed Point Theorem and Applications
Author(s) -
Min Fang,
Xie Ping Ding
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/432402
Subject(s) - mathematics , convexity , fixed point theorem , minimax , kakutani fixed point theorem , minimax theorem , brouwer fixed point theorem , type (biology) , space (punctuation) , fixed point , pure mathematics , fixed point property , point (geometry) , schauder fixed point theorem , discrete mathematics , mathematical analysis , mathematical economics , geometry , ecology , linguistics , philosophy , financial economics , economics , biology
A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained under suitable conditions. Our results are different from known results in the literature
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom