COMMON FIXED POINT THEOREMS FOR (φ, F)-CONTRACTION MAPPINGS IN CONE b-METRIC SPACES OVER BANACH ALGEBRA WITH APPLICATION

Maheshwaran Kanthasamy; Stojan N. Radenovic; Manoj Karuppasamy; Mohammad Saeed Khan; Huseyin Isik

doi:10.28919/afpt/8373

COMMON FIXED POINT THEOREMS FOR (φ, F)-CONTRACTION MAPPINGS IN CONE b-METRIC SPACES OVER BANACH ALGEBRA WITH APPLICATION

Maheshwaran Kanthasamy^*, Stojan N. Radenovic, Manoj Karuppasamy, Mohammad Saeed Khan, Huseyin Isik

^*Corresponding author for this work

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

Abstract

In this study, the notion of the common fixed point theorem on contraction mappings is established using the class functions. The primary result is a generalization of the common fixed point theorems for (φ, F)-contraction mappings on cone b-metric spaces over Banach algebra A. Investigated are the common fixed points criteria for existence and uniqueness. Suitable examples are provided an illustrate the validity of our results. At the end of this article the existence of common solution for a class of functional equations arising in dynamic programming are demonstrated with the help of our main results.

Original language	English
Article number	7
Journal	Advances in Fixed Point Theory
Volume	14
DOIs	https://doi.org/10.28919/afpt/8373
Publication status	Published - 2024
Externally published	Yes

Keywords

Banach algebra
common fixed point
cone b-metric space

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10.28919/afpt/8373

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title = "COMMON FIXED POINT THEOREMS FOR (φ, F)-CONTRACTION MAPPINGS IN CONE b-METRIC SPACES OVER BANACH ALGEBRA WITH APPLICATION",

abstract = "In this study, the notion of the common fixed point theorem on contraction mappings is established using the class functions. The primary result is a generalization of the common fixed point theorems for (φ, F)-contraction mappings on cone b-metric spaces over Banach algebra A. Investigated are the common fixed points criteria for existence and uniqueness. Suitable examples are provided an illustrate the validity of our results. At the end of this article the existence of common solution for a class of functional equations arising in dynamic programming are demonstrated with the help of our main results.",

keywords = "Banach algebra, common fixed point, cone b-metric space",

author = "Maheshwaran Kanthasamy and Radenovic, {Stojan N.} and Manoj Karuppasamy and Khan, {Mohammad Saeed} and Huseyin Isik",

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AU - Kanthasamy, Maheshwaran

AU - Radenovic, Stojan N.

AU - Karuppasamy, Manoj

AU - Khan, Mohammad Saeed

AU - Isik, Huseyin

PY - 2024

Y1 - 2024

N2 - In this study, the notion of the common fixed point theorem on contraction mappings is established using the class functions. The primary result is a generalization of the common fixed point theorems for (φ, F)-contraction mappings on cone b-metric spaces over Banach algebra A. Investigated are the common fixed points criteria for existence and uniqueness. Suitable examples are provided an illustrate the validity of our results. At the end of this article the existence of common solution for a class of functional equations arising in dynamic programming are demonstrated with the help of our main results.

AB - In this study, the notion of the common fixed point theorem on contraction mappings is established using the class functions. The primary result is a generalization of the common fixed point theorems for (φ, F)-contraction mappings on cone b-metric spaces over Banach algebra A. Investigated are the common fixed points criteria for existence and uniqueness. Suitable examples are provided an illustrate the validity of our results. At the end of this article the existence of common solution for a class of functional equations arising in dynamic programming are demonstrated with the help of our main results.

KW - Banach algebra

KW - common fixed point

KW - cone b-metric space

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SN - 1927-6303

VL - 14

JO - Advances in Fixed Point Theory

JF - Advances in Fixed Point Theory

M1 - 7

ER -

COMMON FIXED POINT THEOREMS FOR (φ, F)-CONTRACTION MAPPINGS IN CONE b-METRIC SPACES OVER BANACH ALGEBRA WITH APPLICATION

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Keywords

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