Open AccessCoupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces
Author(s) -
Chalongchai Klanarong,
Suthep Suantai
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 - 10.1155/2013/604578
Subject(s) - mathematics , coincidence point , monotone polygon , metric space , fixed point theorem , fixed point , pure mathematics , type (biology) , coincidence , metric (unit) , point (geometry) , discrete mathematics , mathematical analysis , medicine , ecology , operations management , geometry , alternative medicine , pathology , economics , biology
We introduce and study new types of mixed monotone multivalued mappings in partially ordered complete metric spaces. We give relationships between those two types of mappings and prove their coupled fixed point and coupled common fixed point theorems in partially ordered complete metric spaces. Some examples of each type of mappings satisfying the conditions of the main theorems are also given. Our main result includes several recent developments in fixed point theory of mixed monotone multivalued mappings
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