TY - JOUR
ID - 6614
TI - Solution and stability of a fixed point problem for mappings without continuity
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Choudhury, Binayak S
AU - Chakraborty, Priyam
AU - Kundu, Amaresh
AD - Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India
AD - Department of Mathematics, Chanchal College, Chanchal, Malda- 732123, West Bengal, India
Y1 - 2022
PY - 2022
VL - 13
IS - 2
SP - 2109
EP - 2119
KW - Kannan type mapping
KW - Geraghty type mapping
KW - Binary relation
KW - Hyers-UlamRassias stability
KW - Integral equation
DO - 10.22075/ijnaa.2021.21698.2287
N2 - In this paper by taking into account three trends prevalent in metric fixed point theory, namely, use of control functions instead of contraction constants, consideration of relational structure in the metric space and fixed point studies of discontinuous functions, we formulate and solve a new problem in relational metric fixed point theory. Our result extends the well known result of Kannan. The theorems are illustrated with examples. Further the proble is shown to have Hyers-Ulam-Rassias stability property. We make an application of our main result to a problem of a nonlinear integral equation.
UR - https://ijnaa.semnan.ac.ir/article_6614.html
L1 - https://ijnaa.semnan.ac.ir/article_6614_90ed9bf0c1abeaadf3f230f4d1ead2ae.pdf
ER -