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.

In the present paper we study the weak lower semicontinuity of the functional

We prove a semicontinuity theorem for an integral functional made up by a polyconvex energy and a surface term. Our result extends to the BV framework a well known result by John Ball.

This paper presents a partial solution to the long standing open problem of termination of one rule string rewriting Overlaps between the two sides of the rule play a central role in existing termination criteria We characterize termination of all one rule string rewriting systems that have one such overlap at either end This both completes a result of Kurth and generalizes a result of Shikishi...