New fixed point results for Proinov–Suzuki type contractions in metric spaces

Rajendra Pant; Rahul Shukla

doi:10.1007/s12215-021-00649-z

New fixed point results for Proinov–Suzuki type contractions in metric spaces

Rajendra Pant, Rahul Shukla

University of Johannesburg

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

14 Citations (Scopus)

Abstract

We consider two new classes of contractions and obtain some new fixed point results in complete metric spaces. The mapping considered herein are not necessarily continuous on their domains. Many, well-known generalizations and extensions of the classical Banach contraction theorem have been extended and generalized. We present some illustrative examples to show the genuineness of our results. Finally, an application of our results to nonlinear integral equations is discussed.

Original language	English
Pages (from-to)	633-645
Number of pages	13
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	71
Issue number	2
DOIs	https://doi.org/10.1007/s12215-021-00649-z
Publication status	Published - Aug 2022
Externally published	Yes

Keywords

Banach contraction
Fixed point
Metric space
Proinov–Suzuki contraction
Quasi-contraction

ASJC Scopus subject areas

General Mathematics

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10.1007/s12215-021-00649-z

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abstract = "We consider two new classes of contractions and obtain some new fixed point results in complete metric spaces. The mapping considered herein are not necessarily continuous on their domains. Many, well-known generalizations and extensions of the classical Banach contraction theorem have been extended and generalized. We present some illustrative examples to show the genuineness of our results. Finally, an application of our results to nonlinear integral equations is discussed.",

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AU - Shukla, Rahul

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AB - We consider two new classes of contractions and obtain some new fixed point results in complete metric spaces. The mapping considered herein are not necessarily continuous on their domains. Many, well-known generalizations and extensions of the classical Banach contraction theorem have been extended and generalized. We present some illustrative examples to show the genuineness of our results. Finally, an application of our results to nonlinear integral equations is discussed.

KW - Banach contraction

KW - Fixed point

KW - Metric space

KW - Proinov–Suzuki contraction

KW - Quasi-contraction

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ER -

New fixed point results for Proinov–Suzuki type contractions in metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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