Browsing by Author "Bindu, V. M. L. Hima"
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Article Citation - WoS: 3Discussions on the Almost Z-Contraction(de Gruyter Poland Sp Z O O, 2020) Bindu, V. M. L. Hima; Karapinar, ErdalIn this paper, we introduce a new contraction, namely, almost Z contraction with respect to zeta is an element of Z, in the setting of complete metric spaces. We proved that such contraction possesses a fixed point and the given theorem covers several existing results in the literature. We consider an example to illustrate our result.Article Citation - WoS: 4Citation - Scopus: 5On Pata-Suzuki Contractions(Mdpi, 2020) Bindu, V. M. L. Hima; Karapinar, ErdalIn this manuscript, we introduce two notions, Pata-Suzuki Z-contraction and Pata Z-contraction for the pair of self-mapping g,f in the context of metric spaces. For such types of contractions, both the existence and uniqueness of a common fixed point are examined. We provide examples to illustrate the validity of the given results. Further, we consider ordinary differential equations to apply our obtained results.

