Abstract and Applied Analysis

Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 604578, 7 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393442127

Digital Object Identifier
doi:10.1155/2013/604578

Mathematical Reviews number (MathSciNet)
MR3147786

Zentralblatt MATH identifier
06285585

Citation

Klanarong, Chalongchai; Suantai, Suthep. Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 604578, 7 pages. doi:10.1155/2013/604578. https://projecteuclid.org/euclid.aaa/1393442127

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