A fixed point theorem for contractions of rational type in partially ordered metric spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 251-258 ◽  
Author(s):  
I. Cabrera ◽  
J. Harjani ◽  
K. Sadarangani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Rational Type

scholarly journals A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space

2010 ◽  
Vol 2010 ◽  
pp. 1-8 ◽  
Author(s):  
J. Harjani ◽  
B. López ◽  
K. Sadarangani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
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 in the context of partially ordered metric spaces.

scholarly journals Triple fixed point theorems for mixed monotone Presic-Kannan and Presic-Chatterjea mappings in partially ordered metric spaces

2014 ◽  
Vol 23 (2) ◽  
pp. 223-234
Author(s):  
MADALINA PACURAR ◽  
◽  
VASILE BERINDE ◽  
MARIN BORCUT ◽  
MIHAELA PETRIC ◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Tripled Fixed Point ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

The aim of this paper is to extend the Kannan fixed point theorem from single-valued self mappings T : X → X to mappings F : X3 → X satisfying a Presiˇ c-Kannan type contractive condition: ... or a Presiˇ c-Chatterjea type contractive condition: ... The obtained tripled fixed point theorems extend and unify several related results in literature.

scholarly journals Fixed point theorems for multivalued generalized contractions of rational type in complete metric spaces

2014 ◽  
Vol 23 (1) ◽  
pp. 99-106
Author(s):  
ANCA M. OPREA ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Multivalued Operators ◽  
Multivalued Contractions ◽  
Rational Type

The purpose of this paper is to present some fixed point theorems for multivalued contractions of rational type. We extend the results of I. Cabrera, J. Harjani and K. Sadarangan, A fixed point theorem for contractions of rational type in partially ordered metric spaces, Annali dellUniversita di Ferrara, DOI 10.1007/s11565-013-0176-x, to the case of multivalued operators.

scholarly journals A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Xiangbing Zhou ◽  
Wenquan Wu ◽  
Hongjiang Ma
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fractional Derivatives ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Partially Ordered ◽  
Fractional Differential ◽  
Multipoint Boundary Value Problem

We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. Amini-Harandi and H. Emami (2010). We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives.

scholarly journals A Fixed Point Theorem in Orbitally Complete Partially Ordered Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
G. V. R. Babu ◽  
P. D. Sailaja ◽  
K. T. Kidane
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Ordered Set ◽  
Partially Ordered Sets ◽  
Contractive Condition ◽  
Ordered Sets ◽  
Ordered Metric Spaces ◽  
Partially Ordered

Let (X,⪯) be a partially ordered set and T:X→X be a mapping. We prove a fixed point theorem for the map T satisfying a contractive condition in orbits, when X is T-orbitally complete. Our result extends and generalizes the results of Samet et al. (2013) to partially ordered sets. Also, we generalize the results of Ran and Reurings (2004).

scholarly journals On a fixed point theorem with application to functional equations

2019 ◽  
Vol 17 (1) ◽  
pp. 1724-1736
Author(s):  
Muhammad Nazam ◽  
Muhammad Arshad ◽  
Choonkil Park ◽  
Hasan Mahmood
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Partial Metric ◽  
Ordered Metric Spaces ◽  
Partial Metric Spaces ◽  
Rational Type ◽  
Type Contraction

Abstract The purpose of this paper is to study behavior of a rational type contraction introduced in [A fixed point theorem for contractions of rational type in partially ordered metric spaces, Ann. Univ. Ferrara, 2013, 59, 251–258] in context of ordered dualistic partial metric spaces and to investigate sufficient conditions for the existence of a fixed point in this space. These results extend various comparable results, existing in the literature. We give examples to explain our findings. We apply our result to prove the existence of the solution of functional equation.

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