Multivalued Hardy-Rogers type $\mathfrak{Z}_{\Theta}$-contraction and generalized simulation functions

Ahsan Ali, Azhar Hussain, Zoran D. Mitrovic


The purpose of this paper is to introduce the notion of multivalued Hardy-Rogers $\mathfrak{Z}_{\Theta}$-contraction in the sense of generalized simulation functions and to present the corresponding fixed point results with some examples. Moreover, we study the strict fixed point and well-posedness, data dependence, as well as, the Ulam-Hyres stability of the fixed point problem.


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