Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ ∨q)-fuzzy ideals, (∈,∈ ∨q)-fuzzy bi-ideals and (∈,∈ ∨q)-fuzzy generalized bi-ideals of an ordered semigroup S, and investigate their related properties. Furthermore, we also define the upper and lower parts of fuzzy subsets of an ordered semigroup S, and investigate the properties of (∈,∈ ∨q)-fuzzy ideals of S....

This paper focuses on the relationships between stratified $L$-conver-gence spaces, stratified strong $L$-convergence spaces and stratifiedlevelwise  $L$-convergence spaces. It has been known that: (1) astratified $L$-convergence space is precisely a left-continuousstratified levelwise $L$-convergence space; and (2) a  stratifiedstrong $L$-convergence space is naturally a stratified $L$-converg...

‎We present some existence and convergence results for a general class of nonexpansive mappings in partially ordered hyperbolic metric spaces‎. ‎We also give some examples to show the generality of the mappings considered herein.

Quantum Logic: A logic (血,←, þ), where the proof-theoretic and the semantic-consequence relations violate some characteristic classical principles like the distributivity of conjunction and disjunction. Adjoint: If A is a bounded operator on a Hilbert space , then the adjoint of A is the unique bounded operator A食 that satisfies (A~ φ) = (ψIA* φ) for all vectors ψ, φin the space. Algebraic Mode...

Abstract We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the L q -norm of solution and p -Laplace operator. prove multiplicity positive solutions for problem, where number doubles “positive bumps” term. The are also ordered according to their -norms.

We analyze the order of convergence for operator splitting methods applied to conservation laws with stii source terms. We suppose that the source term q(u) is dissipative. It is proved that the L 1 error introduced by the time-splitting can be bounded by O((tkq(u 0)k L 1 (R)), which is an improvement of the O(Qt) upper bound, where t is the splitting time step, Q is the Lipschitz constant of q...

We determine the interface free energy Fo.d. between disordered and ordered phases in the q=10 and q=20 2-d Potts models using the results of multicanonical Monte Carlo simulations on L lattices, and suitable finite volume estimators. Our results, when extrapolated to the infinite volume limit, agree to high precision with recent analytical calculations. At the transition point βt the probabili...