In this paper, we introduce two new types of enriched contractions, viz., A-contraction and A-contraction. Then obtain fixed points mappings satisfying such contractions using the point property average operator mappings. Further, study well-posedness limit shadowing problem involving give some examples to validate results proved. Our work improves Berinde P?curar?s recent on different kinds we...

This paper proposes a semiring formulation for reasoning about an agent’s changing beliefs: a dynamic epistemic semiring (DES). A DES is a modal semiring extended with a revision operator. The revision operator is given a relational interpretation and a basic calculus is developed – based on the revision operator a contraction operator is also defined. A DES only models actions on an agent’s be...

Let T be a block lower triangular contraction, i.e., a contractive operator T = (ti,j) ∞ i,j=−∞ acting from a doubly infinite Hilbert space direct sum ⊕∞ j=−∞Kj into a doubly infinite Hilbert space direct sum ⊕∞ j=−∞ Lj . The operator ti,j , which maps Kj into Li, is the (i, j)-th entry in the operator matrix representation of T relative to the natural Hilbert space direct sum decompositions. I...

In this note, we define an operator on a space of Itô processes, which call Caputo-Itô derivative, then considerer Cauchy problem for stochastic fractional differential equation with derivative. We demonstrate the existence and uniqueness by contraction mapping argument some examples are given.

In this paper, we prove a fixed point theorem for the sum of a nonlinear contraction mapping and compact operator. The fixed point theorem obtained here resembles that of Krasnoselskii in which the mapping function is a combination of contraction and compact operators. It also takes the form of Schaefer’s fixed point theorem of continuation type. Criteria on periodicity and control in integral ...

In many database applications, designers can easily provide at least some information about the relative importance of the information to be stored and manipulated. While of potentially high value, the ordering information is typically only partial. Here we address the issue of updates in such partially ordered situations, which we call epistemically stratiied databases. In the current database...

Physical contact established during interaction between a human operator and a haptic device creates a coupled system with stability and performance characteristics different than its individual subsystems taken in isolation. Proper incorporation of operator dynamics in physical human-robot interaction (pHRI) conditions requires knowledge of system variables and parameters, some of which are no...