scholarly journals A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations

2012 ◽  
Vol 2012 (1) ◽  
pp. 152 ◽  
Author(s):  
Fangfang Yan ◽  
Yongfu Su ◽  
Qiansheng Feng
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Contraction Mapping Principle ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

scholarly journals Existence and Uniqueness of Fixed Point Theorems in Partially Ordered Metric Spaces

2014 ◽  
Vol 9 ◽  
pp. 12-17
Author(s):  
A. Muraliraj ◽  
R. Jahir Hussain
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mapping Principle ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Rational Type

The purpose of this paper is to present a fixed point theorem using a contractive condition of rational type and involves combining the ideas of an iterative technique in the contraction mapping principle with those in the monotone technique in the context of partially ordered metric spaces.

scholarly journals Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Hassen Aydi ◽  
Wasfi Shatanawi ◽  
Mihai Postolache ◽  
Zead Mustafa ◽  
Nedal Tahat
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

We give some fixed point results using an ICS mapping and involving Boyd-Wong-type contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable theorems in the literature. Also, we present some examples to support our results.

Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces

2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Jamshaid Ahmad ◽  
Muhammad Arshad ◽  
Pasquale Vetro
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings ◽  
Coupled Coincidence

Abstract.In this paper, we extend the coupled coincidence point theorems for a mixed

Sign in / Sign up

Export Citation Format

Share Document