Fixed point theorems for compatible maps along with weak compatible maps satisfying weak contraction

R. Kumar, S. Kumar, C. Park

In this paper, we prove common fixed point theorems using the notions of both compatibility and weak compatibility for pairs of mappings satisfying a weak contraction involving cubic terms of distance function in metric space. Our result generalizes and extends the result of Kumar al. [10]. At the end, we provide an application for integral type contraction condition. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 19(1) (2026), pp. 1-15