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COMMON FIXED POINT RESULTS VIA F-CONTRACTION ON C<sup>*</sup> -ALGEBRA VALUED METRIC SPACES
Shivani Kukreti,Gopi Prasad,Ramesh Chandra Dimri The Kangwon-Kyungki Mathematical Society 2023 한국수학논문집 Vol.31 No.4
In this work, we establish common fixed point results by utilizing a variant of F-contraction in the framework of C<sup>*</sup>-algebra valued metric spaces. We utilize E.A. and C.L.R. property possessed by the mappings to prove common fixed point results in the same metric settings. To validate the applicability of these common fixed point results, we provide illustrative examples too.
FIXED POINTS OF SET-VALUED MAPPINGS IN RELATIONAL METRIC SPACES
( Gopi Prasad ),( Ramesh Chandra Dimri ),( Shivani Kukreti ) 한국수학교육학회 2021 純粹 및 應用數學 Vol.28 No.3
In this paper, we generalize the notion of comparable set-valued mappings by introducing two types of R-closed set-valued mappings and utilize these to obtain an analogue of celebrated Mizoguchi and Takahashi fixed point theorem in relational metric spaces. To annotate the claims and usefulness of such findings, we prove fixed point results for both set-valued and single-valued mappings and validate the assertions with the help of examples. In this way, these investigations extend, modify and generalize some prominent recent fixed point results obtained by Tiammee and Suantai [24], Amini-Harandi and Emami [4], Prasad and Dimri [19] and several others in the settings of relational metric spaces.
Production of nematode free plantlets in Polianthes tuberosa using in vitro culture techniques
Kanchan B. M. Singh,Jayanthi Madhavan,Raghunath Sadhukhan,Shivani Chandra,Uma Rao,Pranab Kumar Mandal 한국원예학회 2020 Horticulture, Environment, and Biotechnology Vol.61 No.5
Tuberose ( Polianthes tuberosa ) cultivation is tremendously aff ected due to Meloidogyne incognita infection. Histologicalstudy of in vitro nematode infected tuberose roots showed that the root infection initiated within 2 days post inoculation(DPI) and root gall formation occurred at 6 DPI indicating established infection on the roots. The life cycle of M. incognitain tuberose roots completed within 45 DPI evident by the formation of large number of eggs. Our study established in vitromethods like shoot tip culture and callus mediated regeneration of tubers collected from nematode infection fi elds to obtaincompletely nematode free plantlets. Tubers of diff erent varieties produced multiple shoot bud on Murashige and Skoog (MS)media containing 4 mg L −1 6-benzylaminopurine (BAP) and 0.1 mg L −1 α-naphthaleneacetic acid (NAA). Maximum numbersof plantlets were obtained for Calcutta Single (14.4 ± 2.0 per plant). Embryogenic callus was induced on MS medium supplementedwith altered concentrations of 2,4-dichlorophenoxyacetic acid (2,4-D), NAA and BAP from leaf, fl ower, root andtuber explant. The maximum callus induction was obtained on MS containing 1 mg L −1 2,4-D, 1 mg L −1 NAA and 0.5 mg L −1BAP (100%) and 1 mg L −1 2,4-D and 2.25 mg L −1 BAP (96.7%). Regeneration of tuber callus was achieved on MS with0.5 mg L −1 Kinetin (KIN) within 3 weeks. Plantlets were rooted on ½ MS with 0.5 mg L −1 Indole-3-butyric acid for 25 days. The in vitro regeneration protocol developed can thus be used for producing disease free plantlets for mass propagation.