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REMARKS ON CERTAIN NOTED COINCIDENCE THEOREMS: A UNIFYING AND ENRICHING APPROACH
Aftab Alam,Mohd. Hasan,Mohammad Imdad 경남대학교 수학교육과 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 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.
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,Pardeep Singh,Pankaj Raizada,Abdullah M. Asiri 한국공업화학회 2021 Journal of Industrial and Engineering Chemistry Vol.98 No.-
In this work, a dual Z-scheme Ag3PO4/CdS/Fe-g-C3N4 (AP/CdS/FeCN) photocatalyst was prepared byprecipitation- deposition method. AP/CdS/FeCN photocatalyst was converted into the heterogenousphoto-Fenton system with the addition of H2O2. The synergistic coupling between AP/CdS/FeCN andH2O2 resulted in enhanced for phenol degradation, with a rate constant of constant 6.2 10 4 s-1, which is1.31 and 1.61 times than that of AP/CdS/FeCN and Fe2O3/H2O2. The enhancement in photodegradationwas attributed to (i) more regeneration of Fe2+ ions, (ii) enhanced visible light absorption, (iii) elevatedredox potential due to more hydroxyl radical’s formation, and (iv) low Fe leaching in the reactionsolution. As indicated by EIS, PL, and trapping experiments, photoinduced CB electrons of g-C3N4 and CdSwere transferred entirely to Fe3+ to regenerate Fe2+ ions to accelerate the Fenton cycle. In comparison tothe conventional Fe2O3/H2O2 Fenton process, Fe ion leaching in AP/CdS/FeCN/H2O2 catalytic system wasalmost negligible. It confirmed strong chemical interaction of Fe3+ with g-C3N4. AP/CdS/FeCN/H2O2displayed significant catalytic efficacy andfirmness forfive successive catalytic cycles. Moreover, the AP/CdS/FeCN/H2O2 nanocomposite exhibited substantial mineralization perfomance for other phenolicpollutants. The results demonstrate that AP/CdS/FeCN/H2O2 catalytic system has the potential for waterpurification.
Aftab, Bilal,Cho, Jinwoo,Shin, Hyun Sang,Hur, Jin Elsevier 2020 Waste management Vol.102 No.-
<P><B>Abstract</B></P> <P>Pretreatment processes substantially modify the organic composition of landfill leachate, which affect the fouling behavior in the post-treatment of membrane filtration. In this study, the changes in the chemical composition of stabilized landfill leachate upon various pretreatments, which encompassed coagulation/flocculation (C/F), ion exchange resins (MIEX), granular activated carbon (GAC) adsorption, and their combinations, were tracked via excitation emission matrix - parallel factor analysis (EEM-PARAFAC), and the membrane fouling potentials were assessed in the subsequent processes of nanofiltration (NF). Fluorescence components, fulvic-like (C1), protein-like (C2), and humic-like (C3), were identified and validated using EEM-PARAFAC. MIEX and C/F pretreatments were not effective to remove C1 and C2, which were associated with relatively small sized and hydrophilic molecules. GAC adsorption did not show any preference with the removal towards different components. These differences in the chemical heterogeneity among the variously pretreated leachates led to the discrepancies in membrane fluxes at a similar leachate concentration. The result also signified the importance of probing the chemical composition of pretreated leachate for the optimization of the post membrane filtration. The sum of C2 and C3 in the pretreated leachate showed a good correlation with reversible membrane fouling resistance (r = 0.93; p < 0.05), while C1 was highly correlated with irreversible membrane resistance (r = 0.872; P < 0.05). These findings provided a new insight into the applicability of fluorescence spectroscopy for tracking the changes in the membrane fouling potential of stabilized landfill leachate after various pretreatments.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Removal extent was different depending on fluorescent components. </LI> <LI> Pretreatment using different options led to dissimilar membrane fluxes in NF. </LI> <LI> Tryptophan- and humic-like components are small and large molecules, respectively. </LI> <LI> Fluorescent components can be suggested as the surrogates for membrane foulants. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>
Monotone generalized contractions in ordered metric spaces
Aftab Alam,Mohammad Imdad 대한수학회 2016 대한수학회보 Vol.53 No.1
In this paper, we prove some existence and uniqueness results on coincidence points for $g$-monotone mappings satisfying linear as well as generalized nonlinear contractivity conditions in ordered metric spaces. Our results generalize and extend two classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. {\bf 132} (2004), no. 5, 1435--1443) and Nieto and Rodr\'{\i}guez-L\'{o}pez (Acta Math. Sin. {\bf 23} (2007), no. 12, 2205--2212) besides similar other ones. Finally, as an application of one of our newly proved results, we establish the existence and uniqueness of solution of a first order periodic boundary value problem.
\'{C}iri\'{c} type Alpha-Psi ${F}-$Contraction
Aftab Hussain 호남수학회 2019 호남수학학술지 Vol.41 No.1
The article is written with a view to introducing the new idea of an $F$% -contraction on a closed ball and have new \'{C}iri\'{c} type fixed point theorems in the framework of a complete metric space. That is why this outcome becomes useful for the contraction of the mapping on a closed ball instead of the whole space. At the same time, some comparative examples are constructed which establish the superiority of our results. It can be stated that the results that have come into being give proof of extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.