We prove a strong convergence theorem by using a hybrid method for finding a common element of the set of solutions for generalized mixed equilibrium problems, the set of fixed points of a family of quasi-φ-asymptotically nonexpansive mappings in strictly convex reflexive Banach space with the Kadec-Klee property and, a Fréchet differentiable norm under weaker conditions. The method of the proo...

Noninterference is a high-level security property that guarantees the absence of illicit information flow at runtime. Noninterference can be enforced statically using information flow type systems; however, these are criticized for being overly conservative and rejecting secure programs. More precision can be achieved by using program logics, but such an approach lacks its own verification tool...

* Correspondence: changss@yahoo. cn; [email protected] Department of Mathematics, Yibin university, Yibin, Sichuan 644007, China Department of Mathematics, College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China Full list of author information is available at the end of the article Abstract The purpose of this article is to introduc...

We give a characterization of uniformly convex Banach spaces in terms of a uniform version of the Kadec-Klee property. As an application we prove that if (xn) is a bounded sequence in a uniformly convex Banach space X which is ε-separated for some 0 < ε ≤ 2, then for all norm one vectors x ∈ X there exists a subsequence (xn j) of (xn) such that inf j =k x − (xn j − xn k) ≥ 1 + δ X (2 3 ε), wher...

We investigate the behavior of randomized simplex algorithms on special linear programs. For this, we develop combinatorial models for the Klee-Minty cubes [17] and similar linear programs with exponential decreasing paths. The analysis of two most natural randomized pivot rules on the Klee-Minty cubes leads t o (nearly) quadratic lower bounds for the complexity of linear programming with rando...

This article reports on the disease that afflicted Paul Klee, the famous artist. He died before the disease that killed him could be properly diagnosed. There was some conjecture afterwards that he may have suffered from scleroderma. The thorough and diligent research the author of this article has carried out over many years allows him to argue that Paul Klee was suffering from this autoimmune...

In the paper there are considered the topologies defined in real linear spaces: the core topology, the topology generated by the family of directionally continuous functions, and the topology defined by Klee in [7]. The notion of the last one is extended to infinite dimensional case by means of the finite topology investigated by Kakutani and Klee [5]. Some properties of the finite topology are...

Ernst Klee: Persilscheine und falsche Pässe. Wie die Kirchen den Nazis halfen. - Frankfurt am Main: Fischer Taschenbuch, 1991. 191 S., zahlr. Abb.