Let $S$ be an ordered semigroup. A fuzzy subset of $S$ is anarbitrary mapping   from $S$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. In this paper,  the concept of fuzzygeneralized bi-ideals of an ordered semigroup $S$ is introduced.Regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.Finally, two m...

The aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadratic functional equation$$fleft(sqrt[3]{ax^{3}+by^{3}}right)+fleft(sqrt[3]{ax^{3}-by^{3}}right)=2a^{2}f(x)+2b^{2}f(y),;; x,yinmathbb{R},$$for a mapping $f$ from $mathbb{R}$ into a vector space. We also investigate some stability and hyperstability results for...

The purpose of this paper is to establish a general existence of equilibrium for generalized game in abstract convex space, where the preference correspondence has unionly open lower section and the constraint correspondence is transfer open valued. New notions of UA-mapping and UAmajorized mapping are introduced, in which the lower sections are unionly open. We first prove some new fixed point...

Many fixed point theorems for mapping satisfies a generalized weak contractive condition is already established. In this paper we also give a result on fixed point for mapping satisfying a weakly contractive condition of integral type.

A generalized form of vectorial equilibria is proposed, and, using an abstract monotonicity condition, an existence result is demonstrated. K e y Words: Equilibrium problem, multivalued mapping, pseudomonotone mapping.

and Applied Analysis 3 Theorem 1.3 see 26–28 . Let X, d be a complete generalized metric space and let J : X → X be a strictly contractive mapping with Lipschitz constant L < 1. Then for each given element x ∈ X, either d ( Jx, J 1x ) ∞ 1.7 for all nonnegative integers n or there exists a positive integer n0 such that 1 d Jx, J 1x < ∞, for all n ≥ n0; 2 the sequence {Jnx} converges to a fixed p...

In this paper, by means of the concept of attractive points of a nonlinear mapping, we prove strong convergence theorem of the Ishikawa iteration for an (α, β)−generalized hybrid mapping in a uniformly convex Banach space, and obtain weak convergence theorem of the Ishikawa iteration for such a mapping in a Hilbert space.

In this paper, mapping algorithm has been mainly studied. The main work and contribution have been generalized as follows: Through the research of existing onchip network mapping algorithm and global optimization algorithm, a multi-step mapping algorithm for low-power consumption have been designed, which is combined with the task allocation and the task scheduling. Compared with the traditiona...