Abstract
Notations. The interior, boundary and closure of a set S in Euclidean r-space Er are denoted by int S, bd S and cl S respectively. If xES, yES, then xy denotes the closed line segment joining x and y. The symbols UJ, n and -- denote set union, set intersection and set difference respectively. The symbol 0 is used to denote the empty set. The convex hull of a set SCEr is indicated by conv S. DEFINITION 1. A set S is called an Ln set if each pair of points in S can be joined by a polygonal arc of S containing at most n segments. DEFINITION 2. A point xES is a point of local convexity of S if there exists a neighborhood N of x such that NnS is convex; otherwise, x is called a point of local nonconvexity of S. DEFINITION 3. A set S is starshaped relative to a point p if for
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
