Geodesic
Fixed points in $b$-metric spaces via simulation function
Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2 Cet article a éte moissonné depuis la source Novi sad journal of mathematics website

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We introduce the concept of generalized $\alpha$-$\eta $-$Z$-contraction mapping with respect to a simulation function $\zeta$ in $b$-metric spaces and study the existence of fixed points for such mappings in complete $b$-metric spaces. Further, we extend it to partially ordered complete $b$-metric spaces. We provide examples in support of our results. Our results extend the fixed point results of Olgun, Bicer and Alyildiz [Olgun, M., Bicer, O., Alyildiz, T., A new aspect to Picard operators with simulation functions. Turk. J. Math. 40 (2016), 832-837.].
Publié le :
DOI : 10.30755/NSJOM.05964
Classification : 47H10, 54H25
Keywords: $\alpha$-$\eta$-continuous mapping, triangular $\alpha$-orbital admissible mapping with respect to $\eta$, generalized $\alpha$-$\eta $-$Z$-contraction mapping 
@article{10.30755/NSJOM.05964,
     author = {Gutti Venkata Ravindranadh Babu and Dula Tolera Mosissa},
     title = {Fixed points in $b$-metric spaces via simulation function},
     journal = {Novi Sad Journal of Mathematics},
     pages = {133 - 147},
     year = {2017},
     volume = {47},
     number = {2},
     doi = {10.30755/NSJOM.05964},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.05964/}
}
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Gutti Venkata Ravindranadh Babu; Dula Tolera Mosissa. Fixed points in $b$-metric spaces via simulation function. Novi Sad Journal of Mathematics, Tome 47 (2017) no. 2. doi: 10.30755/NSJOM.05964

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