In the present paper, we prove some fixed point theorems by using non-decreasing mapping \(\kappa :\mathbb{R}^+\to \mathbb{R}^+\) known as altering distance function or control function, in context of \(S\)-metric space. Further, explore property \(P\) for these contractive mappings.

In this paper, we give (?,?)-weak Pata contractive mapping by using the simulation function and multivalued contractions establish some fixed point results for such contractions. Also, an example related to mappings via function. Our generalize Pata-type Banach Consequently, obtained encompass several in literature.