Abstract
We obtain a contractive condition for the existence and uniqueness of fixed points for a generalized contraction-type map**. The present study focuses on providing a method for the existence of fixed points for nonlinear map**s. Sufficient conditions for the existence and uniqueness of such points are obtained using Ishikawa iteration process. Moreover, an example is given.
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Acknowledgements
The author is thankful to his Phd coordinator, professor dr. Adrian Petruşel from Babeş - Bolyai University, for his support and useful suggestions throughout the entire article.
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This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.
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Alecsa, C.D. Approximating fixed points for nonlinear generalized map**s using Ishikawa iteration. Rend. Circ. Mat. Palermo, II. Ser 68, 163–191 (2019). https://doi.org/10.1007/s12215-018-0349-7
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DOI: https://doi.org/10.1007/s12215-018-0349-7