What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications

Optimum Shape Design of a Radiant Oven by the Conjugate Gradient Method and a Grid Regularization Approach

This study presents an optimization problem for shape design of a 2-D radiant enclosure with transparent medium and gray-diffuse surfaces. The aim of the design problem is to find the optimum geometry of a radiant enclosure from the knowledge of temperature and heat flux over some parts of boundary surface, namely the design surface. The solution of radiative heat transfer is based on the net r...

Parleda: a Library for Parallel Processing in Computational Geometry Applications

ParLeda is a software library that provides the basic primitives needed for parallel implementation of computational geometry applications. It can also be used in implementing a parallel application that uses geometric data structures. The parallel model that we use is based on a new heterogeneous parallel model named HBSP, which is based on BSP and is introduced here. ParLeda uses two main lib...

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

Social Media in Public Libraries: Recognition of Applications, Obstacles and Problems of Use

Background and Aim: Social media because of its interactive nature and the fact that it is   being free of charge is widely used in libraries. Web 2.0 is a tool that offers permanent connection every time and offers educational programs without limitations of place and time. But what is included in social media application in public libraries and what obstacles and problems are there in the way...

On fixed points of fundamentally nonexpansive mappings in Banach spaces

We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and con...