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Fixed points of multivalued nonlinear F-contractions on complete metric spaces

Fixed points of multivalued nonlinear F-contractions on complete metric spaces

We introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in …