We introduce a contractive condition involving new auxiliary function and prove a fixed point theorem for closed multivalued maps on complete metric spaces. An example and an application to integral equation are given in support of our findings.
Ali, M.U., Vetro, C. (2017). Fixed point theorems for multivalued maps via new auxiliary function. NONLINEAR ANALYSIS, 22(1), 84-98 [10.15388/NA.2017.1.6].
Fixed point theorems for multivalued maps via new auxiliary function
VETRO, Calogero
2017-01-01
Abstract
We introduce a contractive condition involving new auxiliary function and prove a fixed point theorem for closed multivalued maps on complete metric spaces. An example and an application to integral equation are given in support of our findings.
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