TY - JOUR
T1 - Fixed Points for (ξ,ω)-Weakly Cyclic Type Generalized Contraction Condition in Metric Spaces with an Application
AU - Murthy, Penumarthy Parvateesam
AU - Sahu, Pusplata
AU - Elsonbaty, Amr
AU - Khan, Khizar Hyatt
AU - Ramaswamy, Rajagopalan
AU - Radenović, Stojan
N1 - Publisher Copyright:
© 2022 by the authors.
PY - 2023/1
Y1 - 2023/1
N2 - In the present work, we have introduced a new type of (Formula presented.) -weakly cyclic generalized contraction in the setting of metric spaces and established some fixed-point results. Fixed-point results are useful in establishing the existence of unique solution to differential equations. We have supplemented the derived results with suitable non-trivial examples with an application to the Boundary Value Problem, generalizing some known results. The analytical result has been verified with numerical simulation.
AB - In the present work, we have introduced a new type of (Formula presented.) -weakly cyclic generalized contraction in the setting of metric spaces and established some fixed-point results. Fixed-point results are useful in establishing the existence of unique solution to differential equations. We have supplemented the derived results with suitable non-trivial examples with an application to the Boundary Value Problem, generalizing some known results. The analytical result has been verified with numerical simulation.
KW - (ξ,ω)-weakly cyclic generalized contraction
KW - altering distance function
KW - boundary value problem
KW - cyclic representation
KW - fixed point
UR - http://www.scopus.com/inward/record.url?scp=85145930699&partnerID=8YFLogxK
U2 - 10.3390/math11010166
DO - 10.3390/math11010166
M3 - Article
AN - SCOPUS:85145930699
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 1
M1 - 166
ER -