MMN-2077

On {$\alpha _{\,\beta }$}-contractive and admissible mappings

S. Chandok; A. H. Ansari; T. Dosenovic; S. Radenovic;

Abstract

In this paper, we introduce concept of a pair $(f,h)$ called upper class of type $II$ and $\alpha _{\,\beta }$-contractive mappings. We obtain that all the corresponding established results of Hussain et al. [J. Inequal. Appl. 2013, 2013:114] are immediately consequences of our main result. Our main result generalizes and modifies several existing results in literature. Also, an example is given to support main result.


Vol. 19 (2018), No. 2, pp. 787-793
DOI: https://doi.org/10.18514/MMN.2018.2077


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