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Vol.26 No.3
Abstract
We introduce (CLRg) property for hybrid pair <TEX>$F:X{\times}X{\rightarrow}2^X$</TEX> and <TEX>$g:X{\rightarrow}X$</TEX>. We also introduce joint common limit range (JCLR) property for two hybrid pairs <TEX>$F,G:X{\times}X{\rightarrow}2^X$</TEX> and <TEX>$f,g:X{\rightarrow}X$</TEX>. We also establish some common coupled fixed point theorems for hybrid pair of mappings under generalized (<TEX>${\psi},{\theta},{\varphi}$</TEX>)-contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. As an application, we study the existence and uniqueness of the solution to an integral equation. We also give an example to demonstrate the degree of validity of our hypothesis. The results we obtain generalize, extend and improve several recent results in the existing literature.
Abstract
The aim of this paper is to model North Korea and USA relationship since past until now. To this end, we have used game theory. The weakness of the existing models is that they have a static nature and can't analyze the changes of processes, strategies and results. The dynamic system of strategic games of which we have used in this article is a proper method to solve this problem. We have shown that South Korea and China play an important role in resolving the crisis.
Abstract
In this paper we define higher-order Stieltjes derivatives, and using Schaefer's fixed point theorem we investigate the existence of solutions for a class of differential equations involving second-order Stieltjes derivatives with two-point boundary conditions. The equations include ordinary and impulsive differential equations, and difference equations.
Abstract
Suppose G is a molecular graph with edge set E(G). The hyper-Zagreb index of G is defined as <TEX>$HM(G)={\sum}_{uv{\in}E(G)}[deg_G(u)+deg_G(v)</TEX><TEX>]</TEX><TEX>^2$</TEX>, where <TEX>$deg_G(u)$</TEX> is the degree of a vertex u in G. In this paper, all chemical trees of order <TEX>$n{\geq}12$</TEX> with the first twenty smallest hyper-Zagreb index are characterized.
Abstract
In this paper we obtain some new inequalities for the weighted chaotically geometric mean of two positive operators on a complex Hilbert space.
Abstract
A necessary and sufficient condition in terms of lower cut sets is given for the insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that whose <TEX>$F_{\sigma}$</TEX>-kernel of sets are <TEX>$F_{\sigma}$</TEX>-sets.
Abstract
We investigate all kinds of the Hilbert function of the Artinian quotient of the coordinate ring of a linear star configuration in <TEX>${\mathbb{P}}^n$</TEX> of type (n+1) (or (n+1)-general points in <TEX>${\mathbb{P}}^n$</TEX>), which generalizes the result [7, Theorem 3.1].