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Common fixed point theorems for left reversible and near-commutative semigroups and applications
Author(s) -
Zeqing Liu,
Shin Min Kang
Publication year - 2005
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/jia.2005.175
Subject(s) - mathematics , commutative property , uniqueness , fixed point theorem , pure mathematics , fixed point , class (philosophy) , metric space , nonlinear system , schauder fixed point theorem , mathematical analysis , discrete mathematics , picard–lindelöf theorem , physics , quantum mechanics , artificial intelligence , computer science
We prove some common fixed point theorems for left reversible and near-commutative semigroups in compact and complete metric spaces, respectively. As applications, we get the existence and uniqueness of solutions for a class of nonlinear Volterra integral equations.

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