Is there any result in fixed point theory which will give the existence of a fixed point for a continuous function defined on a non-compact, closed and bounded convex set?
2026-03-27 22:52:43.1774651963
When does a continuous function defined on a non-compact closed and bounded convex set has a fixed point?
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The contraction mapping theorem seems to do the job, without needing closedness nor convexity.