Hossein Monfared
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
[ 1 ] - $C$-class and $F(psi,varphi)$-contractions on $M$-metric spaces
Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and {it et al.} [New Extension of $p$-Metric Spaces with Some fixed point Results on $M$-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to $M$-metric spaces. In this work, we introduce the class of $F(psi,varphi)$-contrac...
[ 2 ] - New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application
In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions via $alpha$-admissible simulation mappings, as well. Our results can be viewed as extension of the corresponding results in this area. Moreover, some examples and an application to funct...
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