Our main target in this paper is to present some operator mean inequalities via operator monotone and operator mono- tone decreasing functions. In particular, with the help of these we generalize the Klamkin-McLenaghan inequality for every operator mean σν where !ν≤σν≤ν and 0 ≤ν≤ ...
There exists an affine order isomorphism between the class of connections and the class of positive operator monotone functions f defined on (0,∞) via f(t)Iℋ=Iℋσf(tIℋ)(t>0). In addition, AσfB=A12f(A−12BA−12)A12 for all A,B∈B(ℋ)+. The operator monotone funct...
We have the following data about the functions 1∕xandψ(x): Analogue of Bohr-Mollerup’s Theorem The digamma function can be characterized as follows. All eventually monotone solutionsto the equation [Math Processing Error] are of the formf(x) = c + ψ(x),where. It is notewo...
Using the cone and partial theory and non-symmetry iteration method,this paper studies the existence and uniqueness of solutions of a class of anti-mixed monotone operator system of equations in Banach spaces.The iteration sequences which converge to solution of operator equations and the error esti...
by making the ansatz thatare quadratic functions of the states. Here, we look for conditions on the solvability of such system, and we focus in particular on properties that arestableas the number of players goes to infinity, with the aim of addressing the limit problem with infinitely many ...
The perception process is composed of distinctive steps and various functions which are classified in the following three groups: reception and selection (emotional perception); organization and preservation (imaginary perception); and interpretation and signification (rational perception). In addition, ...
It is well known [2, 3, 16] that if \\\(\\\bar T:R^n o R^n\\\) is a Lipschitz continuous, strongly monotone operator and X is a closed conve... XZ Yuan - 《Nonlinear Analysis Theory Methods & Applications》 被引量: 202发表: 1999年 Mann-Type Steepest-Descent and Modified Hyb...
Commutative, associative and monotone functions on horizontal sum of chains 2024, Fuzzy Sets and Systems Show abstract On a representation of t-norms on bounded meet semilattices 2023, Information Sciences Citation Excerpt : Interior operators can be found in constructions of t-norms with the help ...
This operator is monotone in the sense that, whenever S ⊆ S ′, then Γ(S)⊆Γ(S ′). Let us inductively define \(I^{0}_{\varphi }=\emptyset \) \(I^{\alpha +1}_{\varphi }=\Gamma _{\varphi }(I^{\alpha }_{\varphi })\) \(I^{\gamma }_{\varphi }=\bigcup...
Using some potential theory tools and the Schauder fixed point theorem, we prove the existence of positive bounded continuous solutions with a precise global behavior for the semilinear elliptic system Δu = p(x)u αν r in domains D of ℝn, n ≥ 3, w