Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation
Author(s) -
ManhHung Nguyen,
Erdal Karapınar,
Nguyen Van Luong
Publication year - 2012
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 - 10.1155/2012/796964
Subject(s) - mathematics , coincidence , coincidence point , metric space , monotone polygon , relation (database) , property (philosophy) , monotonic function , point (geometry) , pure mathematics , fixed point theorem , metric (unit) , discrete mathematics , mathematical analysis , geometry , medicine , philosophy , operations management , alternative medicine , epistemology , pathology , database , computer science , economics
We prove a coupled coincidence point theorem for mappings F : ×→ andg : →, where F has the mixed g-monotone property, in partially ordered metric spaces viaimplicit relations. Our result extends and improves several results in the literature. Examples arealso given to illustrate our work
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