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

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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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Acknowledgements

The authors are thankful to the reviewer for his/her constructive comments and suggestions that have been useful for the improvement of this paper. The second acknowledges the support from the GES 4.0 fellowship, University of Johannesburg, South Africa.

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  1. Department of Mathematics and Applied Mathematics, University of Johannesburg, Kingsway Campus, Auckland Park, 2006, South Africa

    Rajendra Pant & Rahul Shukla

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  1. Rajendra Pant
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  2. Rahul Shukla
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Correspondence to Rajendra Pant.

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Pant, R., Shukla, R. New fixed point results for Proinov–Suzuki type contractions in metric spaces. Rend. Circ. Mat. Palermo, II. Ser 71, 633–645 (2022). https://doi.org/10.1007/s12215-021-00649-z

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  • DOI: https://doi.org/10.1007/s12215-021-00649-z

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