TY - JOUR
T1 - A Numerical Scheme and Application to the Fractional Integro-Differential Equation Using Fixed-Point Techniques
AU - Gnanaprakasam, Arul Joseph
AU - Ramalingam, Balaji
AU - Mani, Gunaseelan
AU - Ege, Ozgur
AU - George, Reny
N1 - Publisher Copyright:
© 2024 by the authors.
PY - 2024/1
Y1 - 2024/1
N2 - In this paper, we introduce the notion of orthogonal (Formula presented.) –F–convex contraction mapping and prove some fixed-point theorems for self-mapping in orthogonal complete metric spaces. The proven results generalize and extend some of the well-known results in the literature. Following the derivation of these fixed-point results, we propose a solution for the fractional integro-differential equation, utilizing the fixed-point technique within the context of orthogonal complete metric spaces.
AB - In this paper, we introduce the notion of orthogonal (Formula presented.) –F–convex contraction mapping and prove some fixed-point theorems for self-mapping in orthogonal complete metric spaces. The proven results generalize and extend some of the well-known results in the literature. Following the derivation of these fixed-point results, we propose a solution for the fractional integro-differential equation, utilizing the fixed-point technique within the context of orthogonal complete metric spaces.
KW - fixed point
KW - orthogonal complete metric space
KW - orthogonal continuous
KW - orthogonal preserving
KW - orthogonal set
KW - orthogonally α-admissible
UR - http://www.scopus.com/inward/record.url?scp=85183177325&partnerID=8YFLogxK
U2 - 10.3390/fractalfract8010034
DO - 10.3390/fractalfract8010034
M3 - Article
AN - SCOPUS:85183177325
SN - 2504-3110
VL - 8
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 1
M1 - 34
ER -