On common fixed points that belong to the zero set of a certain function

Erdal Karapinar, Bessem Samet, Priya Shahi
2017 Journal of Nonlinear Science and its Applications  
We provide sufficient conditions under which the set of common fixed points of two self-mappings f, g : X → X is nonempty, and every common fixed point of f and g is the zero of a given function ϕ : X → [0, ∞). Next, we show the usefulness of our obtained result in partial metric fixed point theory.
doi:10.22436/jnsa.010.07.09 fatcat:in452lviovawfj36wc3usxncea