TY - CHAP
T1 - On Parametric (b, θ) -Metric Space and Some Fixed Point Theorems
AU - Mahendra Singh, Yumnam
AU - Saeed Khan, Mohammad
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2021
Y1 - 2021
N2 - The primary aim of this chapter is to introduce the notion of parametric (b, θ) -metric space as an extended form of parametric b-metric space and establish some theorems on the existence and uniqueness of fixed point for a class of admissible mapping, satisfying a certain contractive condition. Finally, the result obtained is applied to establish the existence of a solution of an integral equation.
AB - The primary aim of this chapter is to introduce the notion of parametric (b, θ) -metric space as an extended form of parametric b-metric space and establish some theorems on the existence and uniqueness of fixed point for a class of admissible mapping, satisfying a certain contractive condition. Finally, the result obtained is applied to establish the existence of a solution of an integral equation.
UR - http://www.scopus.com/inward/record.url?scp=85122482029&partnerID=8YFLogxK
U2 - 10.1007/978-981-16-4896-0_7
DO - 10.1007/978-981-16-4896-0_7
M3 - Chapter
AN - SCOPUS:85122482029
T3 - Forum for Interdisciplinary Mathematics
SP - 135
EP - 157
BT - Forum for Interdisciplinary Mathematics
PB - Springer
ER -