A fixed point theorem for smooth extension maps

• Main Authors: Nirattaya Khamsemanan, Robert F. Brown, Catherine Lee, Sompong Dhompongsa
• Format: Journal
• Published: 2018
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84899815709&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/45783
• Institution: Chiang Mai University

Let X be a compact smooth n-manifold, with or without boundary, and let A be an (n - 1)-dimensional smooth submanifold of the interior of X. Let φ: A→A be a smooth map and f: (X, A)→(X, A) be a smooth map whose restriction to A is φ. If p ş̌ A is an isolated fixed point of f that is a transversal fi...