No abstract

On grounds of the notion of simulation functions, in this manuscript, we bring in the concept of an extended C F-simulation function and conceive a few common fixed point results via such kind of contractions on complete metric spaces. These class of auxiliary functions generalize, improve and extend those of simulation functions, extended simulation functions and C F-simulation functions. However, as applications of the aforesaid results, we figure out some related consequences of it on the said spaces. Our findings are authenticated by the aid of some competent, non-trivial and constructive examples.

In this paper, we introduce a class of new auxiliary functions and establish certain fixed point theorems under (ϕ − ψ) contractive conditions in partially ordered metric-like spaces. Our work generalizes some results in the literature and assumes some as particular case. Examples are provided to support the useability of our results.