The paper defines multivalued λ-contracting perimeters of triangles and the property of forming a triangle to prove fixed point theorems for multivalued mappings.
Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012 (2012), 74
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Petrov type extension for multivalued contraction mappings
The paper defines multivalued λ-contracting perimeters of triangles and the property of forming a triangle to prove fixed point theorems for multivalued mappings.