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REMARKS ON CERTAIN NOTED COINCIDENCE THEOREMS: A UNIFYING AND ENRICHING APPROACH
Aftab Alam,Mohd. Hasan,Mohammad Imdad 경남대학교 기초과학연구소 2021 Nonlinear Functional Analysis and Applications Vol.26 No.5
In this paper, we unify and enrich the well-known classical metrical coincidence theorems on a complete metric space due to Machuca, Goebel and Jungck. We further extend our newly proved results on a subspace Y of metric space X, wherein X need not be complete. Finally, we slightly modify the existing results involving (E.A)-property and (CLR_g)-property and apply these results to deduce our coincidence and common fixed point theorems.
Aftab Ahmad Khan,김종오 한국공업화학회 2021 Journal of Industrial and Engineering Chemistry Vol.96 No.-
This study aimed to prepare a membrane by engineering a “slippery” surface on a polyethersulfone (PES)membrane for long-term, direct-contact membrane distillation (DCMD). Membrane surfaces andwettability were analyzed usingfield-emission scanning electron microscopy, atomic force microscopy,and attenuated total reflection–Fourier-transform infrared spectroscopy. Contact angles and liquid entrypressures also were measured. The wetting and fouling-resistance competence of the modified PESmembrane (PES-M) in DCMD was assessed using two hypersaline feed solutions, i.e., multiple salts(2000 mg L 1 [CaSO4 + CaCO3 + CaCl2 2H2O + NaCl]) + 20 mg L 1 humic acid (MSHA-F) and Busan seawaterfeed. The effectiveness of the PES-M membrane against the MSHA-F solution was evaluated over multiplecycles. The membrane was cleaned after each 50-h cycle and successfully reused for three consecutivecycles after cleaning with a clean-in-place method. The PES-M membrane displayed robust performanceagainst both feeds, particularly against MSHA-F for 150 h, during which it lost only 20%flux and showed afinal conductivity of 68.8 mS/cm. The PES-M membrane is a resilient candidate that can resist fouling andwetting.
Aftab Aslam Parwaz Khan,Abdullah M. Asiri,Anish Khan,Naved Azum,Malik Abdul Rub,Mohammed M. Rahman,Sher Bahadar Khan,K. S. Siddiqi,Khalid A. Alamry 한국공업화학회 2013 Journal of Industrial and Engineering Chemistry Vol.19 No.2
The reactions of Cefuroxime (CFA) by hexacyanoferrate (III) (HCF(III)) in alkaline medium at a constant ionic strength has been studied spectrophotometrically. It is a first order reaction, but fractional order in both CFA and alkali. Decrease in dielectric constant of the medium decreases the rate of reaction. The effect of added products and ionic strength has also been investigated. A mechanism involving free radicals is proposed. In a composite equilibrium step, CFA binds to HCF(III) to form a complex that subsequently decomposes to the products. The main two products were separated and identified by column chromatography, TLC and FT-IR. There is good agreement between the observed and calculated rate constants under different experimental conditions. The reaction was studied at different temperatures and activation parameters were computed with respect to the slow step of the proposed mechanism.
Aftab Aslam Parwaz Khan,Anish Khan,Abdullah M. Asiri,Malik Abdul Rub 한국공업화학회 2014 Journal of Industrial and Engineering Chemistry Vol.20 No.5
In this paper provides the mechanistic investigation of Mn(II)-catalyzed oxidative of biotin (BTN) has been studied by peroxomonosulphate (PMS) in alkaline medium at 293–308 K with a constant ionic strength. Such studies are much helpful in gaining an insight into the interaction of metal ions through the study of the mechanistic pathway of biotin in redox reactions. The stoichiometry of the reaction is 1:1 in the presence of catalyst. The reaction shows polymerization in the presence of acrylonitrile under the experimental conditions employed. Influence of dielectric constant and ionic strength of the medium on the reaction rate have been done. Manganese peroxide was proposed as the intermediate to explain the experimental observations. Temperature effect is noticeable in all these reactions and activation parameters have been determined. The effect of temperature was evaluated by Arrhenius equation and transition state theory, a mechanism was proposed based on the observation of the experimental results. It involves the formation of an activated complex, which decomposes to give the product. It is identified with the help of FTIR and TLC.
Optogenetics Applications for Treating Spinal Cord Injury
Aftab Ahmad,Sadia Ashraf,Shoji Komai 대한척추외과학회 2015 Asian Spine Journal Vol.9 No.2
Cases of spinal cord injury (SCI) are increasing all over the world; and in USA alone, there are 273,000 patients, which not only leads to morbidity and mortality but also results in a great economic burden. Many approaches are being used at the pre-clinical and clinical level to treat SCI including therapeutic agents, surgical decompression, stem cell therapy etc. Recently, a new approach called optogenetics has emerged in which light sensitive proteins are used to switch neurons on and off, and this approach has great potential to be used as therapy due to its specificity and rapid response in milliseconds. Few animal studies have been performed so far in which the respiratory and bladder function of rats was restored through the use of optogenetics. On the basis of promising results obtained, in the future, this approach can prove to be a valuable tool to treat patients with SCI.
r-notion of conjugacy in partial transformation semigroup
Aftab Hussain Shah,Mohd Rafiq Parray 강원경기수학회 2022 한국수학논문집 Vol.30 No.1
In this paper, we present a new definition of conjugacy that can be applied to an arbitrary semigroup and it does not reduce to the universal relation in semigroups with a zero. We compare the new notion of conjugacy with existing notions, characterize the conjugacy in subsemigroups of partial transformations through digraphs and restrictive partial homomorphisms.