NIELSEN COINCIDENCE POINT THEORY

2009 ◽  
Vol 12 (3) ◽  
pp. 161-166
Author(s):  
Ban Jaffar AL-Ta'iy ◽  
Keyword(s):  
Coincidence Point ◽  
Point Theory

scholarly journals On Approximate Coincidence Point Properties and Their Applications to Fixed Point Theory

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Wei-Shih Du
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Cone Metric Spaces ◽  
Fixed Point Properties ◽  
Contractive Maps

We first establish some existence results concerning approximate coincidence point properties and approximate fixed point properties for various types of nonlinear contractive maps in the setting of cone metric spaces and general metric spaces. From these results, we present some new coincidence point and fixed point theorems which generalize Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and some well-known results in the literature.

scholarly journals Partial S-metric spaces and coincidence points

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4613-4626
Author(s):  
Asil Simkhah ◽  
Shaban Sedghi ◽  
Zoran Mitrovic
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Coincidence Points

In this paper, the concept partial S-metric space is introduced as a generalization of S-metric space. We prove certain coincidence point theorems in partial S-metric spaces. The results we obtain generalize many known results in fixed point theory. Also, some examples show the e_ectiveness of this approach.

scholarly journals The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Wei-Shih Du ◽  
Erdal Karapınar ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Coincidence Points ◽  
Complete Metric Spaces

The basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well-known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi-Takahashi type, Berinde-Berinde type, Du type, and other types from the class of self-maps to the class of non-self-maps in the framework of the metric fixed point theory. We establish some fixed/coincidence point theorems for multivalued non-self-maps in the context of complete metric spaces.

scholarly journals Coupled coincidence point results for contraction of $C$-class mappings in ordered uniform spaces

2019 ◽  
Vol 11 (1) ◽  
pp. 3-13
Author(s):  
A.H. Ansari ◽  
D. Binbasioglu ◽  
D. Turkoglu
Keyword(s):  
Coincidence Point ◽  
Fixed Point Theory ◽  
Order Relation ◽  
Point Theory ◽  
Monotonicity Property ◽  
Coupled Coincidence Point ◽  
Function Concept ◽  
Uniform Spaces ◽  
Class Function ◽  
Coupled Coincidence

In the literature there is a lot of works related to fixed point theory. The theory has many applications and some authors are interested in these applications in various spaces. In 2009, Altun I. and Imdad M. defined the order relation on uniform spaces and the concept of compatibility of mappings. Later Ansari A.H. defined the $C$-class function concept. In this paper, we take some ultra altering distance and $C$-class functions, then we prove some coupled coincidence point theorems for a mapping providing mixed $g$-monotonicity property in ordered uniform spaces. We also give the appropriate examples.

A Rapture of the Nerds? A Comparison between Transhumanist Eschatology and Christian Parousia

2019 ◽  
Vol 24 (2) ◽  
pp. 343-367
Author(s):  
Roberto Paura
Keyword(s):  
Human Brain ◽  
Point Theory ◽  
The Body ◽  
Christian Theology ◽  
Human Beings ◽  
Human Species ◽  
The Future ◽  
The Creation ◽  
The Universe

Transhumanism is one of the main “ideologies of the future” that has emerged in recent decades. Its program for the enhancement of the human species during this century pursues the ultimate goal of immortality, through the creation of human brain emulations. Therefore, transhumanism offers its fol- lowers an explicit eschatology, a vision of the ultimate future of our civilization that in some cases coincides with the ultimate future of the universe, as in Frank Tipler’s Omega Point theory. The essay aims to analyze the points of comparison and opposition between transhumanist and Christian eschatologies, in particular considering the “incarnationist” view of Parousia. After an introduction concern- ing the problems posed by new scientific and cosmological theories to traditional Christian eschatology, causing the debate between “incarnationists” and “escha- tologists,” the article analyzes the transhumanist idea of mind-uploading through the possibility of making emulations of the human brain and perfect simulations of the reality we live in. In the last section the problems raised by these theories are analyzed from the point of Christian theology, in particular the proposal of a transhuman species through the emulation of the body and mind of human beings. The possibility of a transhumanist eschatology in line with the incarnationist view of Parousia is refused.

scholarly journals Existence and uniqueness of positive solutions for nonlinear fractional mixed problems

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alberto Cabada ◽  
Om Kalthoum Wanassi
Keyword(s):  
Existence And Uniqueness ◽  
Fixed Point Theory ◽  
Mixed Boundary ◽  
Point Theory ◽  
Uniqueness Of Solutions ◽  
Nonlinear Part ◽  
Banach Contraction ◽  
Fractional Differential ◽  
Exhaustive Study ◽  
The Banach Contraction Principle

Abstract This paper is devoted to study the existence and uniqueness of solutions of a one parameter family of nonlinear Riemann–Liouville fractional differential equations with mixed boundary value conditions. An exhaustive study of the sign of the related Green’s function is carried out. Under suitable assumptions on the asymptotic behavior of the nonlinear part of the equation at zero and at infinity, and by application of the fixed point theory of compact operators defined in suitable cones, it is proved that there exists at least one solution of the considered problem. Moreover, the method of lower and upper solutions is developed and the existence of solutions is deduced by a combination of both techniques. In particular cases, the Banach contraction principle is used to ensure the uniqueness of solutions.

scholarly journals On a nonlinear system of Riemann-Liouville fractional differential equations with semi-coupled integro-multipoint boundary conditions

2021 ◽  
Vol 19 (1) ◽  
pp. 760-772
Author(s):  
Ahmed Alsaedi ◽  
Bashir Ahmad ◽  
Badrah Alghamdi ◽  
Sotiris K. Ntouyas
Keyword(s):  
Nonlinear System ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Numerical Examples ◽  
Multipoint Boundary ◽  
Multipoint Boundary Conditions ◽  
Fractional Differential

Abstract We study a nonlinear system of Riemann-Liouville fractional differential equations equipped with nonseparated semi-coupled integro-multipoint boundary conditions. We make use of the tools of the fixed-point theory to obtain the desired results, which are well-supported with numerical examples.

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