TY - JOUR
T1 - CONE C-CLASS FUNCTIONS USING (CLRΓL)-PROPERTY ON CONE b-NORMED SPACES WITH APPLICATION
AU - Maheshwaran, K.
AU - Ansari, Arslan Hojat
AU - Radenovic, Stojan N.
AU - Khan, M. S.
AU - Singh, Yumnam Mahendra
N1 - Publisher Copyright:
© The Kangwon-Kyungki Mathematical Society, 2024.
PY - 2024/9/30
Y1 - 2024/9/30
N2 - In this article, we demonstrate the conditions for the existence of common fixed points (CFP ) theorems for four self-maps satisfying the common limit range (CLR)-property on cone b-normed spaces (CbNS) via C-class functions. Furthermore, we have a unique common fixed point for two weakly compatible (WC) pairings. Towards the end, the existence and uniqueness of common solutions for systems of functional equations arising in dynamic programming are discussed as an application of our main result.
AB - In this article, we demonstrate the conditions for the existence of common fixed points (CFP ) theorems for four self-maps satisfying the common limit range (CLR)-property on cone b-normed spaces (CbNS) via C-class functions. Furthermore, we have a unique common fixed point for two weakly compatible (WC) pairings. Towards the end, the existence and uniqueness of common solutions for systems of functional equations arising in dynamic programming are discussed as an application of our main result.
KW - common limit range property
KW - cone b-metric space
KW - cone metric space
KW - nored space
UR - http://www.scopus.com/inward/record.url?scp=85206574915&partnerID=8YFLogxK
U2 - 10.11568/kjm.2024.32.3.561
DO - 10.11568/kjm.2024.32.3.561
M3 - Article
AN - SCOPUS:85206574915
SN - 1976-8605
VL - 32
SP - 561
EP - 591
JO - Korean Journal of Mathematics
JF - Korean Journal of Mathematics
IS - 3
ER -