TY - EJOU
AU - Zoto, Kastriot
AU - Vardhami, Ilir
AU - Bajović, Dušan
AU - Mitrović, Zoran D.
AU - Radenović, Stojan
TI - On Some Novel Fixed Point Results for Generalized -Contractions in -Metric-Like Spaces with Application
T2 - Computer Modeling in Engineering \& Sciences
PY - 2023
VL - 135
IS - 1
SN - 1526-1506
AB - The focus of our work is on the most recent results in fixed point theory related to contractive mappings. We describe variants of -contractions that expand, supplement and unify an important work widely discussed in the literature, based on existing classes of interpolative and -contractions. In particular, a large class of contractions in terms of and *F* for both linear and nonlinear contractions are defined in the framework of -metric-like spaces. The main result in our paper is that --weak contractions have a fixed point in -metric-like spaces if function *F* or the specified contraction is continuous. As an application of our results, we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations.
KW - (ϕ
KW - F)-contraction; (s
KW - q
KW - ϕ
KW - F)-contraction; *b*-metric-like space; fixed point
DO - 10.32604/cmes.2022.022878