Some local fixed point results under $C$-class functions with applications to coupled elliptic systems
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Abstract:
The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some $C$-class functions. The results proved herein generalize, modify and unify some recent results of the existing literature. As an application, we provide an existence theorem for a coupled elliptic system subject to various two-point boundary conditions.
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Journal title
volume 07 issue 03
pages 169- 182
publication date 2018-09-01
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