New approximate fixed point results for rational contraction mappings

Saravanan K, Piramanantham V

Abstract


In this paper, we investigate approximate fixed point results for ratio[1]nal contraction mappings in a metric space. This manuscript’s inten[1]tion is to demonstrate approximate fixed point results and the diam[1]eter of the approximate fixed point results on metric spaces. Particu[1]larly, we use some rational contraction mappings, which were mainly discussed in Dass and Gupta [1975] and Jaggi [1977]. A few ex[1]amples are included to illustrate our results. Also, we discuss some applications of approximate fixed point results in the field of mathe[1]matics rigorously.


Keywords


fixed point, approximate fixed point, rational contraction, diameter approximate fixed point

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References


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DOI: http://dx.doi.org/10.23755/rm.v49i0.1430

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.