M. Eshaghi Gordji
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran, and, Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Iran
[ 1 ] - Automatic continuity of surjective $n$-homomorphisms on Banach algebras
In this paper, we show that every surjective $n$-homomorphism ($n$-anti-homomorphism) from a Banach algebra $A$ into a semisimple Banach algebra $B$ is continuous.
[ 2 ] - Functionally closed sets and functionally convex sets in real Banach spaces
Let $X$ be a real normed space, then $C(subseteq X)$ is functionally convex (briefly, $F$-convex), if $T(C)subseteq Bbb R $ is convex for all bounded linear transformations $Tin B(X,R)$; and $K(subseteq X)$ is functionally closed (briefly, $F$-closed), if $T(K)subseteq Bbb R $ is closed for all bounded linear transformations $Tin B(X,R)$. We improve the Krein-Milman theorem ...
[ 3 ] - A fixed point method for proving the stability of ring $(alpha, beta, gamma)$-derivations in $2$-Banach algebras
In this paper, we first present the new concept of $2$-normed algebra. We investigate the structure of this algebra and give some examples. Then we apply a fixed point theorem to prove the stability and hyperstability of $(alpha, beta, gamma)$-derivations in $2$-Banach algebras.
[ 4 ] - Fixed point theory in generalized orthogonal metric space
In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.
[ 5 ] - Cone normed spaces
In this paper, we introduce the cone normed spaces and cone bounded linear mappings. Among other things, we prove the Baire category theorem and the Banach--Steinhaus theorem in cone normed spaces.
[ 6 ] - Hyper-Rational Choice and Economic Behaviour
In this paper, with help of the concept of hyper-rationality, we model the interaction between two investment companies by an important game as trickery game that has special equilibrium which called hyper-equilibrium. In trickery game, one company can choose cooperation with another company until the last moment and finally changes his action to non-cooperation which incur more loss to an oppo...
[ 7 ] - Best proximity point theorems in 1/2−modular metric spaces
In this paper, first we introduce the notion of $frac{1}{2}$-modular metric spaces and weak $(alpha,Theta)$-$omega$-contractions in this spaces and we establish some results of best proximity points. Finally, as consequences of these theorems, we derive best proximity point theorems in modular metric spaces endowed with a graph and in partially ordered metric spaces. We present an ex...
[ 8 ] - The Results of the Dictator Game among Divorced Children
Divorce and separation of parents are the main causes of mental illness in children. Therefore, it has been decided to examine the degree of fairness and justice of divorced children as one of these variables according to the following models and in the game the Dictator. Economic analysis is usually based on the assumption that people are completely interested in themselves and that they are ...
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