Fixed point theorems for (ϕ − ψ) contractions in partially ordered metric-like spaces using new auxiliary functions


Xiaolan Liu, Mi Zhou, Arslan Hojat Ansari, Nawab Hussain




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