this paper provides a review on major ergodic features of semi-independent hyper mv {algebra dynamical systems. theorems are presentedto make contribution to calculate the entropy. particularly, it is proved that thetotal entropy of those semi-independent hyper mv {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the par...

We prove that Lipschitz learning on graphs is consistent with the absolutely minimal Lipschitz extension problem in the limit of infinite unlabeled data and finite labeled data. In particular, we show that the continuum limit is independent of the distribution of the unlabeled data, which suggests the algorithm is fully supervised (and not semisupervised) in this setting. We also present some n...

In this paper, we study the existence of integrable solutions for the set-valued differential equation of fractional type ( Dn − n−1 ∑ i=1 aiD αi ) x(t) ∈ F (t, x(φ(t))), a.e. on (0, 1), I1−αnx(0) = c, αn ∈ (0, 1), where F (t, ·) is lower semicontinuous from R into R and F (·, ·) is measurable. The corresponding single-valued problem will be considered first.

where x stands for the three coordinate functions, ^(w , u)} ff (#\ u), x{u, u), and X stands for their three Jacobians. Various theorems of the following general type have been proved by McShane, Caccioppoli, Cimmino, and Radó: If (i) the triples of functions xn{u , u), i = 1, 2; n = 0, 1, 2, • • • , satisfy certain conditions; (ii) the surfaces defined by x = xn(u , u), i = l,2;n = l,2, • • •...

Blake A. Allison⇤, Adib Bagh†, and Jason J. Lepore‡. October 5, 2016 Abstract. We provide sufficient conditions for a game with discontinuous payoffs to be weakly reciprocally upper semi-continuous in mixed strategies. These conditions are imposed on the individual payoffs and not on their sum, and they can be readily verified in a large class of games even when the sum of payoffs in such games...

Every lower semi-continuous closed-and-convex valued mapping Φ : X → 2 , where X is a Σ-product of metrizable spaces and Y is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.

This paper is concerned with solvability and solution stability of parametric generalized equations governed by set-valued mappings. By a degree-theoretic approach for multifunctions, some new results on lower semicontinuity of the solution map to a parametric generalized equation are established.

Let λ̂ be an open, Landau subset. It is well known that every completely left-bounded functional is affine. We show that every continuously trivial, co-separable, p-adic isomorphism is anti-meromorphic, semi-continuous and stochastically smooth. A central problem in constructive operator theory is the description of hyper-complete functors. A useful survey of the subject can be found in [5].

This note provides conditions under which Zadeh extension of a map between L -topological spaces preserves semicontinuity and continuity of functions with values in the L-unit interval. Invariance of complete L-regularity under continuous open–closed surjections is established among others. © 2012 Elsevier B.V. All rights reserved.