Coupled coincidence point theorems for new types of mixed monotone multivalued mappings in partially ordered metric spaces

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...

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Bibliographic Details
Main Authors: Klanarong C., Suantai S.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-84893809659&partnerID=40&md5=fff52f8fd37c69ac0c390f3563998e02
http://cmuir.cmu.ac.th/handle/6653943832/4769
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Institution: Chiang Mai University
Language: English
Description
Summary: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. © 2013 Chalongchai Klanarong and Suthep Suantai.