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ISSN : 1226-0657
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Vol.29 No.3
Abstract
In this article, we investigate several aspects of (R, S)-hyper bi-modules and describe some their properties. The concepts of fundamental relation, completes part and complete closure are studied regarding to (R, S)-hyper bi-modules. In particular, we show that any complete (R, S)-hyper bi-module has at least an identity and any element has an inverse. Finally, we obtain a few results related to the heart of (R, S)-hyper bi-modules.
Abstract
In this paper, we introduce the notion of rational g-h-ϕ-weak contractions in tripled metric-like spaces and demonstrate common fixed point results for each mappings in 0-σ complete tripled metric-like spaces and some examples and application are given.
Abstract
In this paper, we use some theta-function identities involving certain parameters to show how to evaluate Rogers-Ramanujan continued fraction R(<TEX>$e^{-2{\pi}\sqrt{n}}$</TEX>) and S(<TEX>$e^{-{\pi}\sqrt{n}}$</TEX>) for <TEX>$n=\frac{1}{5.4^m}$</TEX> and <TEX>$\frac{1}{4^m}$</TEX>, where m is any positive integer. We give some explicit evaluations of them.