A Note on Arcwise Connected Sets and Functions

Abstract

Following Ortega and Rheinboldt ([2]), Avriel and Zang ([I]) expanded the classes of generalized convex functions. They extended the concepts of convexity, quasiconvexity and pseudoconvexity for functions to corresponding forms of arcwise connectedness and characterized their localglobal minimum properties. Singh [3] discussed some basic properties for arcwise connected sets and functions. In the present note we introduce another type of generalized class of arcwise connected (GCN) functions and discuss some of their basic properties. We give an example to support our generalization of arcwise connected functions. Also we include an application of the GCN class of functions in the field of nonlinear programming.

Cite this paper

@inproceedings{Yadav2008ANO, title={A Note on Arcwise Connected Sets and Functions}, author={Shri Ram Yadav and Shri Ram Yadva}, year={2008} }