Set Contractions and KKM Mappings in Banach Spaces
Author(s) -
A. Razani,
Nasrin Karamikabir
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 - 10.1155/2013/346094
Subject(s) - mathematics , contraction (grammar) , banach space , coincidence point , coincidence , set (abstract data type) , pure mathematics , type (biology) , fixed point theorem , discrete mathematics , mathematical analysis , computer science , medicine , ecology , alternative medicine , pathology , biology , programming language
Some fixed point theorems for generalized set contraction maps and KKM type ones in Banach spaces are presented. Moreover, a new generalized set contraction is introduced. As an application, some coincidence theorems for KKM type set contractions are obtained
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