Some KKM theorems in modular function spaces
Author(s) -
Nasrin Karamikabir,
A. Razani
Publication year - 2014
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1407307k
Subject(s) - mathematics , minimax , generalization , modular design , coincidence point , fixed point theorem , coincidence , function (biology) , pure mathematics , discrete mathematics , mathematical analysis , mathematical economics , medicine , alternative medicine , pathology , evolutionary biology , computer science , biology , operating system
In this paper, a coincidence theorem is obtained which is general- ization of Ky Fan's fixed point theorem in modular function spaces. A modular version of Fan's minimax inequality is proved. Moreover, some best approximation theorems are presented for multi-valued mappings.
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