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 <i>F</i> 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 <i>F</i> 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; <i>b</i>-metric-like space; fixed point

DO  - 10.32604/cmes.2022.022878