{'fraction_non_alphanumeric': 0.02925531914893617, 'fraction_numerical': 0.02526595744680851, 'mean_word_length': 4.340425531914893, '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}}
Common Fixed Point Theorem in Partially Ordered L-Fuzzy Metric Spaces

The Banach fixed point theorem for contractionmappings has been generalized and extended in many directions 1–43 . Recently Nieto and Rodriguez-Lopez 27–29 and Ran and Reurings 33 presented some new results for contractions in partially ordered metric spaces. The main idea in 27–33 involves combining the ideas of iterative technique in the contraction mapping principle with those in the monotone technique. Recall that if X,≤ is a partially ordered set and F : X → X is such that for x, y ∈ X, x ≤ y implies F x ≤ F y , then a mapping F is said to be nondecreasing. The main result of Nieto and Rodriguez-Lopez 27–33 and Ran and Reurings 33 is the following fixed point theorem.