Geodesic
On Meir-Keeler type contraction via rational expression
Ravindra Kishor Bisht1 ; Ravindra Kishor Bisht
1Department of Mathematics, National Defence Academy, Khadakwasla, Pune, India
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 1, pp. 93-97 
Ravindra Kishor Bisht; Ravindra Kishor Bisht. On Meir-Keeler type contraction via rational expression. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 1, pp. 93-97. http://geodesic.mathdoc.fr/item/AMUC_2021_90_1_a5/
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     author = {Ravindra Kishor Bisht and Ravindra Kishor Bisht},
     title = { On {Meir-Keeler} type contraction via rational expression},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {93--97},
     year = {2021},
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     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_1_a5/}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we show that the continuity requirement assumed in the main result of Vara Prasad and Singh [Meir-Keeler type contraction via rational expression Acta Math. Univ. Comenianae Vol. LXXXIX, 1 (2020), 19-25] can be relaxed further. As a by-product we explore some new answers to the open question posed by Rhoades [Contemporary Mathematics 72 (1988), 233-245] regarding the existence of contractive mappings that admit discontinuity at the fixed point.