SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS

Mujahid Abbas; Rizwan Anjum; Shakeela Riasat

doi:10.58715/bangmodjmcs.2023.9.1

SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS

Mujahid Abbas
, Rizwan Anjum
, Shakeela Riasat

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

6 Citations (Scopus)

Abstract

The purpose of this paper is to introduce the class of interpolative enriched cyclic Kannan contraction mappings defined on an Banach space and to prove the existence and uniqueness of fixed point of the such mappings. An example is presented to support the concept introduced herein. Moreover, an application of the main result to solve nonlinear integral equations is also given. Our result extend and generalize various results in the existing literature.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Bangmod International Journal of Mathematical and Computational Science
Volume	9
DOIs	https://doi.org/10.58715/bangmodjmcs.2023.9.1
Publication status	Published - 31 Dec 2023
Externally published	Yes

Keywords

Fixed point
enriched cyclic contraction
integral equation
interpolative Kannan contraction

ASJC Scopus subject areas

Mathematics (miscellaneous)
Applied Mathematics
Computational Mathematics
Control and Optimization

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10.58715/bangmodjmcs.2023.9.1

Cite this

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abstract = "The purpose of this paper is to introduce the class of interpolative enriched cyclic Kannan contraction mappings defined on an Banach space and to prove the existence and uniqueness of fixed point of the such mappings. An example is presented to support the concept introduced herein. Moreover, an application of the main result to solve nonlinear integral equations is also given. Our result extend and generalize various results in the existing literature.",

keywords = "Fixed point, enriched cyclic contraction, integral equation, interpolative Kannan contraction",

author = "Mujahid Abbas and Rizwan Anjum and Shakeela Riasat",

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year = "2023",

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doi = "10.58715/bangmodjmcs.2023.9.1",

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T1 - SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS

AU - Abbas, Mujahid

AU - Anjum, Rizwan

AU - Riasat, Shakeela

PY - 2023/12/31

Y1 - 2023/12/31

N2 - The purpose of this paper is to introduce the class of interpolative enriched cyclic Kannan contraction mappings defined on an Banach space and to prove the existence and uniqueness of fixed point of the such mappings. An example is presented to support the concept introduced herein. Moreover, an application of the main result to solve nonlinear integral equations is also given. Our result extend and generalize various results in the existing literature.

AB - The purpose of this paper is to introduce the class of interpolative enriched cyclic Kannan contraction mappings defined on an Banach space and to prove the existence and uniqueness of fixed point of the such mappings. An example is presented to support the concept introduced herein. Moreover, an application of the main result to solve nonlinear integral equations is also given. Our result extend and generalize various results in the existing literature.

KW - Fixed point

KW - enriched cyclic contraction

KW - integral equation

KW - interpolative Kannan contraction

UR - https://www.scopus.com/pages/publications/85201280665

U2 - 10.58715/bangmodjmcs.2023.9.1

DO - 10.58715/bangmodjmcs.2023.9.1

M3 - Article

AN - SCOPUS:85201280665

SN - 2408-154X

VL - 9

SP - 1

EP - 9

JO - Bangmod International Journal of Mathematical and Computational Science

JF - Bangmod International Journal of Mathematical and Computational Science

ER -

SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS

Abstract

Keywords

ASJC Scopus subject areas

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