We discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem. Finally, we present sufficient conditions for well-posedness of a fixed point problem. Our results generalize, complement and extend classical theorems in metric and partial metric spaces.
Jleli, M., Nashine, H., Samet, B., Vetro, C. (2015). On multivalued weakly Picard operators in partial Hausdorff metric spaces. FIXED POINT THEORY AND APPLICATIONS, 2015(1), 1-25 [10.1186/s13663-015-0293-6].
On multivalued weakly Picard operators in partial Hausdorff metric spaces
VETRO, Calogero
2015-01-01
Abstract
We discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem. Finally, we present sufficient conditions for well-posedness of a fixed point problem. Our results generalize, complement and extend classical theorems in metric and partial metric spaces.
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