@Article{Marappan2018,
author="Marappan, Sathish Kumar
and V, Ganesan
and S, Janaki
and Moaaz, Osama",
title="Nonlinear oscillation of certain third-order neutral differential equation with distributed delay",
journal="Journal of Mahani Mathematical Research Center",
year="2018",
volume="7",
number="1",
pages="1-12",
abstract="The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicability of these results.",
issn="2251-7952",
doi="10.22103/jmmrc.2018.11248.1052",
url="http://jmmrc.uk.ac.ir/article_1952.html"
}
@Article{AhmadiBaseri2018,
author="Ahmadi Baseri, Marzieh
and Mazaheri, H.
and Narang, T. D",
title="Some results on convergence and existence of best proximity points",
journal="Journal of Mahani Mathematical Research Center",
year="2018",
volume="7",
number="1",
pages="13-24",
abstract="In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces",
issn="2251-7952",
doi="10.22103/jmmrc.2018.10747.1045",
url="http://jmmrc.uk.ac.ir/article_2055.html"
}
@Article{ERMİŞ2018,
author="ERMİŞ, Temel
and Gelişgen, Ozcan
and Ekici, Aybuke",
title="A TAXICAB VERSION OF A TRIANGLE' S APOLLONIUS CIRCLE",
journal="Journal of Mahani Mathematical Research Center",
year="2018",
volume="7",
number="1",
pages="25-36",
abstract="One of the most famous problems of classical geometry is the Apollonius' problem asks construction of a circle which is tangent to three given objects. These objects are usually taken as points, lines, and circles. This well known problem was posed by Apollonius of Perga ( about 262 - 190 B.C.) who was a Greek mathematician known as the great geometer of ancient times after Euclid and Archimedes. The Apollonius' problem can be reduced specically to the question \Is there the circle that touches all three excircles of given triangle and encompasses them? " when all three objects are circles. In literature, altough there are a lot of works on the solution of this question in the Euclidean plane, there is not the work on this question in different metric geometries. In this paper, we give that the conditions of existence of Apollonius taxicab circle for any triangle.",
issn="2251-7952",
doi="10.22103/jmmrc.2018.2073",
url="http://jmmrc.uk.ac.ir/article_2073.html"
}