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 -