Many problems arising in different areas of mathematics, such as optimization, variational analysis, and differential equations, can be modeled as equations of the form Tx=x, where T is a given mapping in the framework of a metric space. However, such equation does not necessarily possess a solution if T happens to be nonself-mapping. In such situations, one speculates to determine an approximate solution x (called a best proximity point) that is optimal in the sense that the distance between x and Tx is minimum. The aim of best proximity point analysis is to provide sufficient conditions that assure the existence and uniqueness of a best proximity point.

This special issue is focused on the latest achievements in best proximity point analysis and the related applications. Potential topics include, but are not limited to:

• Existence theorems for best proximity points involving single-valued mappings
• Existence theorems for best proximity points involving multivalued mappings
• Algorithms for best proximity points
• The study of best proximity points in partially ordered sets
• Best proximity points involving cyclic mappings

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/bppa/ according to the following timetable: