Fixed point results for mappings satisfying -weakly contractive condition in partially ordered metric spaces

2011 ◽  
Vol 74 (6) ◽  
pp. 2201-2209 ◽  
Author(s):  
Hemant Kumar Nashine ◽  
Bessem Samet
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Weakly Contractive Condition ◽  
Weakly Contractive

scholarly journals Coincidence and fixed point results under generalized weakly contractive condition in partially ordered G-metric spaces

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1333-1343 ◽  
Author(s):  
Kumar Nashine ◽  
Zoran Kadelburg ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Partial Order ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Partially Ordered ◽  
Weakly Contractive Condition ◽  
Weakly Contractive

We deduce coincidence and fixed point theorems under generalized weakly contractive conditions in G-metric spaces equipped with partial order. We furnish examples to demonstrate the usage of the results and to distinguish them from the known ones.

scholarly journals Common Fixed Point of (ψ, β)-Generalized Contractive Mappings in Partially Ordered Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
M. Abbas ◽  
I. Zulfaqar ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Necessary Conditions ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings

Gordji et al. (2012) gave a generalization of Geraghty’s theorem. The aim of this paper is to study the necessary conditions for the existence of coincidence and common fixed point of four mappings satisfying (ψ, β)-generalized contractive condition in the setup of partial ordered metric spaces. Some examples are given to validate the definitions and results presented herein.

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.

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