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Fixed points and sets of multivalued contractions: an advanced survey with some new results

Fixed points and sets of multivalued contractions: an advanced survey with some new results

The existence of fixed points and, in particular, coupled fixed points is investigated for multivalued contractions in complete metric spaces. Multivalued coupled fractals are furthermore explored as coupled fixed points of certain induced operators in hyperspaces, i.e. as coupled compact subsets of the original spaces. The structure of fixed point …