A wide variety of stability and performance questions about linear dynamical systems can be reformulated as convex optimization problems involving linear matrix inequalities (LMIs). These techniques have been recently extended to nonlinear systems with polynomial or rational dynamics through the use of sum of squares (SOS) programming. In this paper we further extend the class of systems that c...

Agents need to be able to change their beliefs; in particular, they should be able to contract or remove a certain belief in order to restore consistency to their set of beliefs, and revise their beliefs by incorporating a new belief which may be inconsistent with their previous beliefs. An influential theory of belief change proposed by Alchourron, Gärdenfors and Makinson (AGM) [1] describes p...

Objective: The purpose of this paper is to prove some common fixed-point theorems satisfying the rational type contractive condition in frame work complex valued b metric spaces. Methodology: Some well-known result we studied –metric spaces and replaced constant by control function obtain new fixed point also proving uniqueness for a pair mappings. Findings: Results based on are derived context...

Let C v be a complete, algebraically closed non-archimedean field, and let f ∈ ( z ) rational function of degree d ≥ 2 . If satisfies bounded contraction condition on its Julia set, we prove that small perturbations have dynamics conjugate to those their sets.

An intelligent agent must be able to change its beliefs in a rational manner and with a plausible outcome. While the central belief change theories have well-developed formal characterisations, there has been limited work on applying these theories in a practical setting. In this paper we examine belief base contraction, specifically kernel contraction, in the framework of the description logic...

Part 4. Biregular geometry 28 4.1. Fano-Mori contractions on a smooth n-fold with n ≤ 4 29 4.2. Fano-Mori contractions on a smooth n-fold with fibers of small dimension 34 4.3. The fibers of a Fano-Mori contraction 35 4.3.1. Using the vanishing theorem 35 4.3.2. Existence of a ladder for a fiber of a F-M contraction; horizontal slicing 37 4.3.3. Rational curves on the fiber of F-M contractions ...

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...

The purpose of this paper is to study common fixed points in complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions.