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GRAPH TOPOLOGY ON FINITE DIGITAL IMAGES
(NOV)
The main goal of this work is to present a topology, called a graph topology, on finite digital images. We deal with some properties of this topology such as k-connectivity and digital continuous mapping. We finally show ...
Nielsen fixed point theory for digital images
(MAY)
In this paper, we introduce the Nielsen fixed point theory in digital images. We also deal with some important properties of the Nielsen number and calculate the Nielsen number of some digital images. We get some new results ...
Digital Fibrations
(MAR)
In this paper, digital fibrations were introduced. Theorems related to digital fibrations were proved. Homology properties of digital fibrations with counter examples were studied and an application for digital fibrations ...
Fixed point theorems and an Application in Parametric Metric Spaces
(JAN)
In this paper, we give concepts of coupled fixed and coupled coincidence point in parametric metric spaces. We also prove a coupled fixed point theorem in this space and give a corollary and an example about the main result. ...
Digital homotopy fixed point theory
(NOV)
In this paper, we construct a framework which is called the digital homotopy fixed point theory. We get new results associating digital homotopy and fixed point theory. We also give an application on this theory. (C) 2015 ...
Some properties of digital H-spaces
(2016)
In this paper, we study certain properties of digital H-spaces. We prove that a digital image that has the same digital homotopy type with any digital H-space is also a digital H-space. We show that the digital fundamental ...
Banach fixed point theorem for digital images
(2015)
In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle. Finally, we deal with an application of Banach fixed ...
SOME RESULTS OF THE NILPOTENCE IN THE MOD P STEENROD ALGEBRA
(2014)
In this paper, we deal with a collection of left and right ideals of A(p) which is the mod p Steenrod algebra. We also prove that for all odd prime numbers p, the nilpotence heights of P-2P and P2P+1 are p and p - 1, respectively.
Lefschetz fixed point theorem for digital images
(NOV 7)
In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property. We conclude that ...
Cohomology Theory for Digital Images
(2013)
In this paper we propose a mathematical framework that can be used for de fining cohomology of digital images. We state the Eilenberg-Steenrod axioms and the Universal Coefficient Theorem for this cohomology theory. We ...