TY - JOUR
AU - Lokesh Budhia
AU - Hassen Aydi
AU - Arslan Hojat Ansari
AU - Dhananjay Gopal
PY - 2020/07/01
Y2 - 2022/10/03
TI - Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations
JF - Nonlinear Analysis: Modelling and Control
JA - NAMC
VL - 25
IS - 4
SE - Articles
DO - 10.15388/namc.2020.25.17928
UR - https://www.journals.vu.lt/nonlinear-analysis/article/view/17928
AB - In this paper, we establish some new fixed point theorems for generalized ϕ–ψ-contractive mappings satisfying an admissibility-type condition in a Hausdorff rectangular metric space with the help of C-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, Tbil. Math. J., 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.
ER -