Extended b-metric spaces and the related approximate fixed point results

Theivaraman R, Srinivasan P. S

Abstract


In this paper, we investigate some approximate fixed point results in extended b-metric spaces using several contraction mappings such as the Mohseni-Saheli contraction, the B-contraction, and their consequences. Additionally, we prove some ϵ-fixed point results by using rational type contraction mappings, which were discussed mainly in Dass and Gupta [1975] and Jaggi [1977]. Also, a few examples are included to illustrate the results. Finally, we discuss some applications that support our main results in the field of applied mathematics

Keywords


fixed point, b-metric space, approximate fixed point, rational contraction

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References


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DOI: http://dx.doi.org/10.23755/rm.v49i0.1431

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