scholarly journals Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
Hemant Kumar Nashine ◽  
Hassen Aydi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Common Fixed Points ◽  
Distance Functions ◽  
Ordered Metric Spaces ◽  
System Of Integral Equations ◽  
Common Solution ◽  
Altering Distance

Coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence of a common solution to a system of integral equations.

scholarly journals Common Fixed Points of Locally Contractive Mappings in Multiplicative Metric Spaces with Application

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Mujahid Abbas ◽  
Bashir Ali ◽  
Yusuf I. Suleiman
Keyword(s):  
Fixed Point ◽  
Boundary Value Problem ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Common Fixed Points ◽  
Closed Ball ◽  
Common Solution ◽  
Contractive Mappings ◽  
Multiplicative Metric Spaces

The aim of this paper is to present common fixed point results of quasi-weak commutative mappings on a closed ball in the framework of multiplicative metric spaces. Example is presented to support the result proved herein. We also study sufficient conditions for the existence of a common solution of multiplicative boundary value problem. Our results extend and improve various recent results in the existing literature.

scholarly journals Common Fixed Points for Weakψ-Contractive Mappings in Ordered Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sumit Chandok ◽  
Simona Dinu
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Contractive Mappings ◽  
Common Fixed Point Theorems

We obtain some new common fixed point theorems satisfying a weak contractive condition in the framework of partially ordered metric spaces. The main result generalizes and extends some known results given by some authors in the literature.

scholarly journals Fixed Point Theorems for a Class ofα-Admissible Contractions and Applications to Boundary Value Problem

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Hamed H. Alsulami ◽  
Selma Gülyaz ◽  
Erdal Karapınar ◽  
İncı M. Erhan
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Boundary Value ◽  
Periodic Boundary Conditions ◽  
Distance Functions ◽  
Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Altering Distance

A class ofα-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.

scholarly journals Common Fixed Point Results Using Generalized Altering Distances on Orbitally Complete Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Hemant Kumar Nashine ◽  
Zoran Kadelburg ◽  
Zorana Golubović
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Asymptotically Regular

We prove the existence of common fixed points for three relatively asymptotically regular mappings defined on an orbitally complete ordered metric space using orbital continuity of one of the involved maps. We furnish a suitable example to demonstrate the validity of the hypotheses of our results.

scholarly journals Some fixed and common fixed point results in G-metric spaces which can't be obtained from metric spaces

2019 ◽  
Vol 38 (6) ◽  
pp. 43-52
Author(s):  
Wasfi Shatanawi ◽  
Kamaleldin Abodayeh
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Distance Functions ◽  
Altering Distance

In this paper, we use the concepts of (A;B)-weakly increasing mappings and altering distance functions to establish new contractive conditions for the pair of mappings in the setting of G-metric spaces. Many Fixed and common Fixed point results in the setting of G{metric spaces are formulated. Note that our new contractive conditions can't be reduces to contractive conditions in standard metric spaces.

scholarly journals ON COMMON FIXED POINTS THEOREMS FOR ORDERED $F$-CONTRACTIONS WITH APPLICATION

2018 ◽  
pp. 125
Author(s):  
Muhammad Nazam ◽  
Ozlem Acar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Partial Metric ◽  
Common Solution ◽  
Partial Metric Spaces ◽  
Ordered Partial Metric Space

We study the conditions for existence of a unique common fixed point of ordered $F$-contractions defined on an ordered partial metric space; in particular, we present a common fixed point result for a pair of ordered $F$-contractions satisfying a generalized rational type contractive condition and discuss its consequences. It is remarked that the notion of an $F$-contraction in partial metric spaces is more general than that in metric spaces. As application of our findings, we demonstrate the existence of common solution of the system of Volterra type integral equations.

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