Existence of fixed points of large MR-Kannan contractions in Banach spaces

Rizwan Anjum; Mujahid Abbas; Muhammad Waqar Akram; Stojan Radenović

doi:10.4995/agt.2024.20852

Existence of fixed points of large MR-Kannan contractions in Banach spaces

Rizwan Anjum
, Mujahid Abbas
, Muhammad Waqar Akram
, Stojan Radenović

Construction Management and Quantity Surveying

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

Abstract

The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.

Original language	English
Pages (from-to)	423-439
Number of pages	17
Journal	Applied General Topology
Volume	25
Issue number	2
DOIs	https://doi.org/10.4995/agt.2024.20852
Publication status	Published - 2024

Keywords

Kannan contraction; enriched Kannan
and MR Kannan contractions
large Kannan

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2024.20852

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abstract = "The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.",

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author = "Rizwan Anjum and Mujahid Abbas and Akram, \{Muhammad Waqar\} and Stojan Radenovi{\'c}",

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AU - Anjum, Rizwan

AU - Abbas, Mujahid

AU - Akram, Muhammad Waqar

AU - Radenović, Stojan

N1 - Publisher Copyright: © AGT, UPV, 2024.

PY - 2024

Y1 - 2024

N2 - The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.

AB - The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.

KW - Kannan contraction; enriched Kannan

KW - and MR Kannan contractions

KW - large Kannan

UR - https://www.scopus.com/pages/publications/85207282343

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DO - 10.4995/agt.2024.20852

M3 - Article

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SP - 423

EP - 439

JO - Applied General Topology

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IS - 2

ER -

Existence of fixed points of large MR-Kannan contractions in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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