@article{Budhia_Aydi_Ansari_Gopal_2020, title={Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations}, volume={25}, url={https://www.journals.vu.lt/nonlinear-analysis/article/view/17928}, DOI={10.15388/namc.2020.25.17928}, abstractNote={<p>In this paper, we establish some new fixed point theorems for generalized <em>ϕ</em>–<em>ψ</em>-contractive mappings satisfying an admissibility-type condition in a Hausdorff rectangular metric space with the help of <em>C</em>-functions. In this process, we rectify the proof of Theorem 3.2 due to Budhia et al. [New fixed point results in rectangular metric space and application to fractional calculus, <em>Tbil. Math. J</em>., 10(1):91–104, 2017]. Some examples are given to illustrate the theorems. Finally, we apply our result (Corollary 3.6) to establish the existence of a solution for an initial value problem of a fractional-order functional differential equation with infinite delay. </p>}, number={4}, journal={Nonlinear Analysis: Modelling and Control}, author={Budhia, Lokesh and Aydi, Hassen and Ansari Arslan Hojat and Gopal, Dhananjay}, year={2020}, month={Jul.}, pages={580–597} }