TY - JOUR
T1 - Fixed Point of Rational Contractions and Its Application for Secure Dynamic Routing in Wireless Sensor Networks
AU - Asif, Awais
AU - Savas, Ekrem
AU - Alsalman, Hussain
AU - Arshad, Muahammad
AU - Gumaei, Abdu
AU - Rehman, Abdul
N1 - Publisher Copyright:
© 2021 Awais Asif et al.
PY - 2021
Y1 - 2021
N2 - Security is one of the major concerns for data communication over wireless sensor networks (WSNs). Dynamic routing algorithms can provide small similarity paths of data delivery between two consecutive transmitted packets, improving data security without adding extra information or control messages. This article illustrates the iteration of the fixed point (FP) of rational contractions and generalized Banach contractions (BC) in the setting of F-metric space (F-MS). It also describes an FP of the said mappings, while restricting the imposition of the contraction only to a subset of the F-MS, the closed ball, rather than executing it on the entire F-MS. The results have been verified and supported by concise examples. Further, the application of the functional equation proved results with randomization is given to find a solution for secure dynamic routing of data transmission in WSNs. The application is a tool to analyze and model a network structure in which sensors can be deployed with high security and low risk in a greater region (sensor field), thus boosting the accuracy.
AB - Security is one of the major concerns for data communication over wireless sensor networks (WSNs). Dynamic routing algorithms can provide small similarity paths of data delivery between two consecutive transmitted packets, improving data security without adding extra information or control messages. This article illustrates the iteration of the fixed point (FP) of rational contractions and generalized Banach contractions (BC) in the setting of F-metric space (F-MS). It also describes an FP of the said mappings, while restricting the imposition of the contraction only to a subset of the F-MS, the closed ball, rather than executing it on the entire F-MS. The results have been verified and supported by concise examples. Further, the application of the functional equation proved results with randomization is given to find a solution for secure dynamic routing of data transmission in WSNs. The application is a tool to analyze and model a network structure in which sensors can be deployed with high security and low risk in a greater region (sensor field), thus boosting the accuracy.
UR - http://www.scopus.com/inward/record.url?scp=85117362946&partnerID=8YFLogxK
U2 - 10.1155/2021/9939546
DO - 10.1155/2021/9939546
M3 - Article
AN - SCOPUS:85117362946
SN - 1939-0114
VL - 2021
JO - Security and Communication Networks
JF - Security and Communication Networks
M1 - 9939546
ER -