Point island dynamics under fixed rate deposition

Coupled Fixed Point Theorems under Weak Contractions

Coarse Dynamics and Fixed Point Property

We investigate the fixed point property of the group actions on a coarse space and its Higson corona. We deduce the coarse version of Brouwer’s fixed point theorem.

The Szlenk Index and the Fixed Point Property under Renorming

Assume that X is a Banach space such that its Szlenk index Sz X is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R X < 2, where R · is the Garcı́a-Falset coefficient. This leads us to prove that if X is a Banach space which can be continuously embedded in a Banach space Y with Sz Y ≤ ω, then, X can be re...

High-Level Synthesis under Fixed-Point Accuracy Constraint

Implementing signal processing applications in embedded systems generally requires the use of fixed-point arithmetic. The main problem slowing down the hardware implementation flow is the lack of high-level development tools to target these architectures from algorithmic specification language using floating-point data types. In this paper, a new method to automatically implement a floating-poi...

A Hybrid Common Fixed Point Theorem under Certain Recent Properties

We prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings via common limit range property. Our result improves some results from the existing literature, especially the ones contained in Sintunavarat and Kumam (2009). Some illustrative and interesting examples to highlight the realized improvements are also furnished.