CONE C-CLASS FUNCTIONS USING (CLRΓL)-PROPERTY ON CONE b-NORMED SPACES WITH APPLICATION

K. Maheshwaran; Arslan Hojat Ansari; Stojan N. Radenovic; M. S. Khan; Yumnam Mahendra Singh

doi:10.11568/kjm.2024.32.3.561

CONE C-CLASS FUNCTIONS USING (CLR_ΓL)-PROPERTY ON CONE b-NORMED SPACES WITH APPLICATION

K. Maheshwaran^*
, Arslan Hojat Ansari
, Stojan N. Radenovic
, M. S. Khan
, Yumnam Mahendra Singh

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	561-591
Number of pages	31
Journal	Korean Journal of Mathematics
Volume	32
Issue number	3
DOIs	https://doi.org/10.11568/kjm.2024.32.3.561
Publication status	Published - 30 Sept 2024
Externally published	Yes

Keywords

common limit range property
cone b-metric space
cone metric space
nored space

Access to Document

10.11568/kjm.2024.32.3.561

Cite this

@article{1ee57ea47e0b489990fc44028abf6d49,

title = "CONE C-CLASS FUNCTIONS USING (CLRΓL)-PROPERTY ON CONE b-NORMED SPACES WITH APPLICATION",

abstract = "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.",

keywords = "common limit range property, cone b-metric space, cone metric space, nored space",

author = "K. Maheshwaran and Ansari, \{Arslan Hojat\} and Radenovic, \{Stojan N.\} and Khan, \{M. S.\} and Singh, \{Yumnam Mahendra\}",

note = "Publisher Copyright: {\textcopyright} The Kangwon-Kyungki Mathematical Society, 2024.",

year = "2024",

month = sep,

day = "30",

doi = "10.11568/kjm.2024.32.3.561",

language = "English",

volume = "32",

pages = "561--591",

journal = "Korean Journal of Mathematics",

issn = "1976-8605",

publisher = "Kangwon Kyungki Mathematical Society",

number = "3",

}

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 - https://www.scopus.com/pages/publications/85206574915

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 -

CONE C-CLASS FUNCTIONS USING (CLR_ΓL)-PROPERTY ON CONE b-NORMED SPACES WITH APPLICATION

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this