Some existence and uniqueness results for a solution of a system of equations

Deepak Khantwal; Rajendra Pant

doi:10.4995/agt.2024.19798

Some existence and uniqueness results for a solution of a system of equations

Deepak Khantwal
, Rajendra Pant

University of Johannesburg

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

Abstract

This paper presents some existence and uniqueness results for a solution of a system of equations. Our results extend and generalize the well-known and celebrated results of Boyd and Wong [Proc. Amer. Math. Soc. 20 (1969)], Matkowski [Dissertations Math. (Rozprawy Mat.) 127 (1975)], Proinov [Nonlinear Anal. 64 (2006)], Ri [Indag. Math. (N. S.) 27 (2016)] and many others. We also present some illustrative examples to validate our results.

Original language	English
Pages (from-to)	159-174
Number of pages	16
Journal	Applied General Topology
Volume	25
Issue number	1
DOIs	https://doi.org/10.4995/agt.2024.19798
Publication status	Published - 2 Apr 2024
Externally published	Yes

Keywords

Matkowski’s contraction
control function
metric space
system of equations

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2024.19798

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AB - This paper presents some existence and uniqueness results for a solution of a system of equations. Our results extend and generalize the well-known and celebrated results of Boyd and Wong [Proc. Amer. Math. Soc. 20 (1969)], Matkowski [Dissertations Math. (Rozprawy Mat.) 127 (1975)], Proinov [Nonlinear Anal. 64 (2006)], Ri [Indag. Math. (N. S.) 27 (2016)] and many others. We also present some illustrative examples to validate our results.

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Some existence and uniqueness results for a solution of a system of equations

Abstract

Keywords

ASJC Scopus subject areas

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