Some remarks about a multifunction approach to geodesic-type problems via image space analysis

Key Points

• The aim is to revisit geodesic-type problems through the lens of image space analysis.
• Develop a multifunction approach to associate finite dimensional images with geodesic problems.
• Provide interpretations of classical Euler-Lagrange multipliers in this context.
• Illustrate the approach with a simple numerical example.
• Proposed approach offers new interpretations of classic multipliers.
• Numerical example demonstrates the effectiveness of this method.