scholarly journals Fixed point theorems on orthogonal metric spaces via altering distance functions

2019 ◽  
Author(s):  
Nurcan Bilgili Gungor ◽  
Duran Turkoglu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Distance Functions ◽  
Altering Distance

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 Unique Fixed Point Theorems for Generalized Contractive Mappings in Partial Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Lakshmi Narayan Mishra ◽  
Shiv Kant Tiwari ◽  
Vishnu Narayan Mishra ◽  
Idrees A. Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Distance Functions ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Altering Distance ◽  
Partial Metric Spaces

We establish some unique fixed point theorems in complete partial metric spaces for generalized weaklyS-contractive mappings, containing two altering distance functions under certain assumptions. Also, we discuss some examples in support of our main results.

scholarly journals Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1432
Author(s):  
Alireza Pourmoslemi ◽  
Shayesteh Rezaei ◽  
Tahereh Nazari ◽  
Mehdi Salimi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Distance Functions ◽  
Complete Metric Spaces ◽  
Altering Distance

In this paper, first, using interpolative Kannan type contractions, a new fixed point theorem has been proved. Then, by applying sequentially convergent mappings and using subadditive altering distance functions, we generalize contractions in complete metric spaces. Finally, we investigate some fixed point theorems which are generalizations of Kannan and Reich fixed points.

scholarly journals Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions

2017 ◽  
Vol 15 (1) ◽  
pp. 111-125 ◽  
Author(s):  
Kanokwan Sawangsup ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Matrix Equation ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Distance Functions ◽  
Nonlinear Matrix Equation ◽  
Altering Distance ◽  
Nonlinear Matrix ◽  
Transitive Binary Relation ◽  
Definite Solution

Abstract The aim of this work is to introduce the notion of weak altering distance functions and prove new fixed point theorems in metric spaces endowed with a transitive binary relation by using weak altering distance functions. We give some examples which support our main results where previous results in literature are not applicable. Then the main results of the paper are applied to the multidimensional fixed point results. As an application, we apply our main results to study a nonlinear matrix equation. Finally, as numerical experiments, we approximate the definite solution of a nonlinear matrix equation using MATLAB.

Some fixed point results for (β-ψ1-ψ2)-contractive conditions in ordered b-metric-like spaces

Filomat ◽  
2017 ◽  
Vol 31 (14) ◽  
pp. 4587-4612 ◽  
Author(s):  
S.K. Padhan ◽  
Rao Jagannadha ◽  
Hemant Nashine ◽  
R.P. Agarwal
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Existence Of Solution ◽  
Distance Functions ◽  
Point Boundary ◽  
Contractive Mappings ◽  
Altering Distance

This paper extends and generalizes results of Mukheimer [(?,?,?)-contractive mappings in ordered partial b-metric spaces, J. Nonlinear Sci. Appl. 7(2014), 168-179]. A new concept of (?-?1-?2)-contractive mapping using two altering distance functions in ordered b-metric-like space is introduced and basic fixed point results have been studied. Useful examples are illustrated to justify the applicability and effectiveness of the results presented herein. As an application, the existence of solution of fourth-order two-point boundary value problems is discussed and rationalized by a numerical example.

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 Fixed and common fixed point theorems in frame of quasi metric spaces under contraction condition based on ultra distance functions

2018 ◽  
Vol 23 (5) ◽  
pp. 724-748 ◽  
Author(s):  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Distance Function ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Distance Functions ◽  
Type I ◽  
Type Ii ◽  
Contraction Condition ◽  
Common Fixed Point Theorems

In this paper, we introduce the notion of ultra distance function. Based on the notion of ultra distance function, we introduce the definitions of (k, ψ, L)-quasi contractions of type (I) and type (II) in the frame of quasi metric spaces. We employ our new definitions to construct and prove many fixed and common fixed point results in the frame of quasi metric spaces. Our results extend and improve many exciting results in the literatures. Also, we introduce some examples and some applications in order to support the usability of our work.

scholarly journals Φ,Ψ-Weak Contractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Wadei F. Al-Omeri ◽  
Saeid Jafari ◽  
Florentin Smarandache
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Weak Contraction ◽  
Cone Metric Spaces ◽  
Altering Distance ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of Φ,Ψ-weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.

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