Fixed point results for generalized almost contractions and application to a nonlinear matrix equation

K.N.V.V.V. Prasad; V. Mishra; Z.D. Mitrović; Ahmad Aloqaily; N. Mlaiki

doi:10.3934/math.2024600

Fixed point results for generalized almost contractions and application to a nonlinear matrix equation

K.N.V.V.V. Prasad, V. Mishra, Z.D. Mitrović, Ahmad Aloqaily, N. Mlaiki

Western Sydney University

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

1 Citation (Scopus)

Abstract

The goal of this paper was to improve some known results of fixed points by using wdistances and properties of locally symmetric H-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.

Original language	English
Pages (from-to)	12287-12304
Number of pages	18
Journal	AIMS Mathematics
Volume	9
Issue number	5
DOIs	https://doi.org/10.3934/math.2024600
Publication status	Published - 2024

Open Access - Access Right Statement

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)

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10.3934/math.2024600

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title = "Fixed point results for generalized almost contractions and application to a nonlinear matrix equation",

abstract = "The goal of this paper was to improve some known results of fixed points by using wdistances and properties of locally symmetric H-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.",

author = "K.N.V.V.V. Prasad and V. Mishra and Z.D. Mitrovi{\'c} and Ahmad Aloqaily and N. Mlaiki",

year = "2024",

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AU - Prasad, K.N.V.V.V.

AU - Mishra, V.

AU - Mitrović, Z.D.

AU - Aloqaily, Ahmad

AU - Mlaiki, N.

PY - 2024

Y1 - 2024

N2 - The goal of this paper was to improve some known results of fixed points by using wdistances and properties of locally symmetric H-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.

AB - The goal of this paper was to improve some known results of fixed points by using wdistances and properties of locally symmetric H-transitivity of binary relations. Also, we gave the application of the obtained results for finding the solution of nonlinear matrix equations. Finally, we gave a numerical example to demonstrate the applicability of our results.

UR - https://hdl.handle.net/1959.7/uws:77451

U2 - 10.3934/math.2024600

DO - 10.3934/math.2024600

M3 - Article

SN - 2473-6988

VL - 9

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EP - 12304

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 5

ER -

Fixed point results for generalized almost contractions and application to a nonlinear matrix equation

Abstract

Open Access - Access Right Statement

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