In the paper‎, ‎some new existence theorems of maximal elements for‎ ‎$mathscr{F}_{C,theta}$-mappings and $mathscr{F}_{C,theta}$-majorized mappings are established‎. ‎As applications, ‎some new existence theorems of equilibrium points for‎ ‎one-person games‎, ‎qualitative games and generalized games are obtained‎. ‎Our results unify and generalize most known results‎ ‎in recent literature‎.

In this paper we define intuitionistic fuzzy metric and normedspaces. We first consider finite dimensional intuitionistic fuzzy normed spacesand prove several theorems about completeness, compactness and weak convergencein these spaces. In section 3 we define the intuitionistic fuzzy quotientnorm and study completeness and review some fundamental theorems. Finally,we consider some properties of...

In the mathematical analysis, there are some theorems and definitions that established for both real and fuzzy numbers. In this study, we try to prove  Bernoulli's inequality in fuzzy real numbers with some of its applications. Also, we prove two other theorems in fuzzy real numbers which are proved before, for real numbers.

In this paper‎, ‎strong convergence theorems of Ishikawa type implicit iteration‎ ‎process with errors for a finite family of asymptotically‎ ‎nonexpansive in the intermediate sense and asymptotically‎ ‎quasi-pseudocontractive type mappings in normed linear spaces are‎ ‎established by using a new analytical method‎, ‎which essentially‎ ‎improve and extend some recent results obtained by Yang‎ ‎...

A common goal in marketing research is to understand how one evaluates products that have been filtered through some type of screening or selection process. Typical examples include post-choice satisfaction ratings, certain free recall tasks, or the development of consideration sets followed by brand choice. In such situations, behavior is contingent not only on the alternatives being evaluated...

Let X be a complete hyperbolic surface, perhaps the hyperbolic plane H , and let X denote the unit tangent bundle T (X) to X (and H = T H). There are three flows on X which will concern us here. They are realized by three cars, as represented in Figure 1. The cars all have their steering wheels locked in position: the first car drives straight ahead, the second one steers to the left so as to f...

Let R a be countable ergodic equivalence relation of type II1 on a standard probability space (X,μ). The group Out R of outer automorphisms of R consists of all invertible Borel measure preserving maps of the space which map R-classes to R-classes modulo those which preserve almost every R-class. We analyze the group Out R for relations R generated by actions of higher rank lattices, providing ...

The intent of this chapter is to familiarize readers with the principles and constructs of an approach to learning and mental development known as Sociocultural Theory.1 Sociocultural Theory (SCT) has its origins in the writings of the Russian psychologist L. S. Vygotsky and his colleagues. SCT argues that human mental functioning is fundamentally a mediated process that is organized by cultura...

In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of R...