Yazar "Chauhan, Varsha" seçeneğine göre listele

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    Öğe
    Common fixed point of a power graphic (F, psi)-contraction pair on partial b-metric spaces with application
    (Inst Mathematics & Informatics, 2017) Singh, Deepak; Chauhan, Varsha; Altun, Ishak
    The aim of this paper is to inaugurate power graphic (F, psi)-contraction pair and to establish fixed point results for such mappings defined on partial b-metric spaces endowed with a graph. It is mentioning that, first time, we launch a class of fixed point results in the frame of partial b-metric spaces involving a graph. Results of this paper extend and generalize known results from metric, partial metric, and partial b-metric spaces in partial b-metric spaces with a graph. Further, appropriate examples are presented to emphasize the utility of the obtained results. At the end, an attempt to correlate the given work with application is turned out as solution for an integral equation.
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    Öğe
    Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar
    (Walter De Gruyter Gmbh, 2022) Younis, Mudasir; Singh, Deepak; Altun, Ishak; Chauhan, Varsha
    The purpose of this article is to present the notion of graphical extended b-metric spaces, blending the concepts of graph theory and metric fixed point theory. We discuss the structure of an open ball of the new proposed space and elaborate on the newly introduced ideas in a novel way by portraying suitably directed graphs. We also provide some examples in graph structure to show that our results are sharp as compared to the results in the existing state-of-art. Furthermore, an application to the transverse oscillations of a homogeneous bar is entrusted to affirm the applicability of the established results. Additionally, we evoke some open problems for enthusiastic readers for the future aspects of the study.