In Chapter 7 we discussed the situation in which one cannot find linking sets that separate the functional, i.e., satisfy (7.1). Are there sets such that the opposite of (7.1) will imply (3.31)? More precisely, are there sets A, B such that (7.3) implies that there is a sequence satisfying (7.4)? This was answered in the affirmative in Chapter 7. Such pairs exist. This has led to.
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Schechter, M. (2009). Weak Sandwich Pairs. In: Minimax Systems and Critical Point Theory. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4902-9_15
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DOI: https://doi.org/10.1007/978-0-8176-4902-9_15
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