{'fraction_non_alphanumeric': 0.013953488372093023, 'fraction_numerical': 0.0, 'mean_word_length': 4.5256410256410255, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Existence theory for the complex nonlinear complementarity problem

The main result in this paper is an existence theorem for the following complex nonlinear complementarity problem: find z such that where S is a polyhedral cone in Cn, S* the polar cone, and g is a mapping from Cn into itself. It is shown that the above problem has a unique solution if the mapping g is continuous and strongly monotone on the polyhedral cone S.