## Abstract and Applied Analysis

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

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

Chalongchai Klanarong and Suthep Suantai

#### 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

**Permanent link to this document**

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