A RESOLVENT APPROACH FOR SOLVING A SET-VALUED VARIATIONAL INCLUSION PROBLEM USING WEAK-RRD SET-VALUED MAPPING

Ahmad, Iqbal,Ahmad, Rais,Iqbal, Javid The Kangwon-Kyungki Mathematical Society 2016 한국수학논문집 Vol.24 No.2

The resolvent operator approach of [2] is applied to solve a set-valued variational inclusion problem in ordered Hilbert spaces. The resolvent operator under consideration is called relaxed resolvent operator and we demonstrate some of its properties. To obtain the solution of a set-valued variational inclusion problem, an iterative algorithm is developed and weak-RRD set-valued mapping is used. The problem as well as main result of this paper are more general than many previous problems and results available in the literature.

Kinetic and Thermodynamic Studies of Brilliant Green Adsorption onto Carbon/Iron Oxide Nanocomposite

Ahmad, Rais,Kumar, Rajeev Korean Chemical Society 2010 대한화학회지 Vol.54 No.1

본 연구에서는 수용액 중에서 유해한 brilliant green (BG) 제거를 위한 탄소와 산화철 나노복합재료의 흡착특성을 살펴보았다. 탄소와 산화철 나노복합재료는 화학침전법과 $750^{\circ}C$에서 질산 철과 탄소를 열처리 함으로서 합성하였다. 그 생성물은 TEM, XRD, 그리고 TGA를 이용하여 확인하였다. 나노복합재료에 대한 BG의 흡착 연구는 열역학적 인자와 반응속도론적인자들을 이용하여 수행하였다. 흡착 속도식은 준 이차 속도식이 준 일차 속도식에 비해 잘 들어맞는다고 보여준다. 실험 결과는 Langmuir 과 Freundlich 흡착 등온선을 이용하여 분석하였다. 평형 데이터는 Langmuir모델에 잘 들어맞으며 최대 단일 층 흡착 용량 64.1 mg/g 을 갖는다. 열역학적 인자들은 나노복합재료에 BG의 흡착 으로부터 유도하며 흡착은 자발적이며 흡열 과정임을 확인하였다. In the present work, we have investigated the adsorption efficiency of carbon/iron oxide nanocomposite towards removal of hazardous brilliant green (BG) from aqueous solutions. Carbon/iron oxide nanocomposite was prepared by chemical precipitation and thermal treatment of carbon with ferric nitrate at $750^{\circ}C$. The resulting material was thoroughly characterized by TEM, XRD and TGA. The adsorption studies of BG onto nanocomposite were performed using kinetic and thermodynamic parameters. The adsorption kinetics shows that pseudo-second-order rate equation was fitted better than pseudo-first-order rate equation. The experimental data were analyzed by the Langmuir and Freundlich adsorption isotherms. Equilibrium data was fitted well to the Langmuir model with maximum monolayer adsorption capacity of 64.1 mg/g. The thermodynamic parameters were also deduced for the adsorption of BG onto nanocomposite and the adsorption was found to be spontaneous and endothermic.

System of mixed variational inequalities in reflexive Banach spaces

Rais Ahmad,Farhat Usman 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.3

In this paper, we introduce and study a system of mixed vari- ational inequalities in Banach spaces. By using J-proximal mapping and its Lipschitz continuity for a nonconvex, lower semicontinuous, subdifferen- tiable, proper functional, an iterative algorithm for computing the approx- imate solutions of system of mixed variational inequalities is suggested and analyzed. The convergence criteria of the iterative sequences generated by iterative algorithm is also discussed. In this paper, we introduce and study a system of mixed vari- ational inequalities in Banach spaces. By using J-proximal mapping and its Lipschitz continuity for a nonconvex, lower semicontinuous, subdifferen- tiable, proper functional, an iterative algorithm for computing the approx- imate solutions of system of mixed variational inequalities is suggested and analyzed. The convergence criteria of the iterative sequences generated by iterative algorithm is also discussed.

SOLVING A VARIATIONAL INCLUSION PROBLEM WITH ITS CORRESPONDING RESOLVENT EQUATION PROBLEM INVOLVING XOR-OPERATION

Ahmad Rais,Iqbal Javid,Ahmed Shakeel,Husain Saddam 경남대학교 수학교육과 2019 Nonlinear Functional Analysis and Applications Vol.24 No.3

In this paper, we consider a variational inclusion problem involving XOR-operation with its resolvent equation problem involving XOR-operation. We suggest separate iterative algorithms for solving both the problems. The existence and convergence results are proved for variational inclusion problem and for corresponding resolvent equation problem in ordered Hilbert spaces. We claim that results of this paper are new and refinement of previously known results.

SYSTEM OF MIXED VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES

Ahmad, Rais,Usman, Farhat The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.3

In this paper, we introduce and study a system of mixed variational inequalities in Banach spaces. By using J-proximal mapping and its Lipschitz continuity for a nonconvex, lower semicontinuous, subdifferentiable, proper functional, an iterative algorithm for computing the approximate solutions of system of mixed variational inequalities is suggested and analyzed. The convergence criteria of the iterative sequences generated by iterative algorithm is also discussed.

Gas sensing properties of single crystalline ZnO nanowires grown by thermal evaporation technique

Rai, P.,Khan, R.,Ahmad, R.,Hahn, Y.B.,Lee, I.H.,Yu, Y.T. Elsevier 2013 Current Applied Physics Vol.13 No.8

The ZnO NWs were applied as effective material for the fabrication of ethanol (C<SUB>2</SUB>H<SUB>5</SUB>OH) and carbon monoxide (CO) gas sensor. The ZnO NWs were grown by thermal evaporation techniques on non-catalytic Si (100) substrates. The average width and length of ZnO NWs was 60 nm and 20 μm, respectively and they were single crystalline in nature. The maximum response was 51.64 at 300 <SUP>o</SUP>C for 1000 ppm of CO gas, while 104.23 at 400 <SUP>o</SUP>C for 250 ppm of ethanol gas. The response of ZnO NWs was very high for ethanol compared to the CO, whereas the recovery time for ethanol was very poor compare to CO gas. The response of ZnO NWs was about 25 times higher for ethanol compare to CO, at 400 <SUP>o</SUP>C for 100 ppm of each gas. The high response for ethanol is related to electron donating effect of ethanol (10e<SUP>-</SUP>) which was higher than the CO gas (2e<SUP>-</SUP>). The high response of ZnO NWs was attributed to large contacting surface area for electrons, oxygen, target gas molecule, and abundant channels for gas diffusion.

Naringenin suppresses aluminum-induced experimental hepato-nephrotoxicity in mice through modulation of oxidative stress and inflammation

Rai Ravina,Ahmad Zaved,Jain Subodh Kumar,Jat Deepali,Mishra Siddhartha Kumar 한국독성학회 2024 Toxicological Research Vol.40 No.1

Aluminum is a widely used metal substance in daily life activities that has been shown to cause severe hepato-nephrotoxicity with long-term exposure. Natural dietary flavonoids are being utilized as a newer pharmaceutical approach against various acute and chronic diseases. Naringenin (NAR) has shown efficient therapeutic properties, including effects against metal toxicities. However, the protective efficacy of NAR on aluminum chloride ( AlCl3)-induced hepato-renal toxicity needs investigation as aluminum has shown serious environmental toxicity and bioaccumulation behavior. In this study, mice were treated with AlCl3 (10 mg/kg b.w./day) to assess toxicities, and a group of mice were co-treated with NAR (10 mg/kg b.w./ day) to assess the protective effects of NAR against hepato-nephrotoxicity. The levels of blood serum enzymes, oxidative stress biomarkers, inflammatory cytokines, and the apoptosis marker caspase-3 were measured using histological examinations. NAR treatment in AlCl3- treated mice resulted in maintained levels of liver and kidney function enzymes and lipid profiles. NAR treatment attenuated oxidative stress by regulating the levels of nitric oxide, advance oxidation of protein products, protein carbonylation, and lipid peroxidation. NAR also replenished reduced antioxidant enzymes such as superoxide dismutase, catalase, glutathione peroxidase, glutathione reductase and reduced the levels of glutathione and oxidized glutathione. NAR regulated the levels of pro-inflammatory cytokines (IL-1β, IL-6, and TNF-α) and elevated the levels of anti-inflammatory cytokines (IL-4, IL-10, and IFN-γ). The histological study further confirmed the protective effects of NAR against AlCl3- induced hepato-renal alterations. NAR decreased the expression of caspase-3 as a mechanism of protective effects against apoptotic damage in the liver and kidney of AlCl3- treated mice. In summary, this study demonstrated the antioxidant and anti-inflammatory properties of NAR, leading to the suppression of AlCl3- triggered hepato-renal apoptosis and histological alterations. The results suggest that aluminum toxicity needs to be monitored in daily life usage, and supplementation of the natural dietary flavonoid naringenin may help maintain liver and kidney health.

Gas sensing properties of single crystalline ZnO nanowires grown by thermal evaporation technique

Prabhakar Rai,리쥔찬,Rafiq Ahmad,한윤봉,이인환,유연태 한국물리학회 2013 Current Applied Physics Vol.13 No.8

The ZnO NWs were applied as effective material for the fabrication of ethanol (C2H5OH) and carbon monoxide (CO) gas sensor. The ZnO NWs were grown by thermal evaporation techniques on non-catalytic Si (100) substrates. The average width and length of ZnO NWswas 60 nmand 20 mm, respectively and they were single crystalline in nature. The maximumresponsewas 51.64 at 300 ℃ for 1000 ppm of CO gas, while 104.23 at 400 ℃ for 250 ppm of ethanol gas. The response of ZnO NWswas very high for ethanol compared to the CO, whereas the recovery time for ethanol was very poor compare to CO gas. The response of ZnO NWs was about 25 times higher for ethanol compare to CO, at 400 ℃ for 100 ppm of each gas. The high response for ethanol is related to electron donating effect of ethanol (10e-) which was higher than the CO gas (2e-). The high response of ZnO NWs was attributed to large contacting surface area for electrons,oxygen, target gas molecule, and abundant channels for gas diffusion.

Serum Cytokine Profile in Patients with Chronic Rhinosinusitis with Nasal Polyposis Infected by Aspergillus flavus

Gargi Rai,Mohammad Ahmad Ansari,Sajad Ahmad Dar,Shyama Datt,Neelima Gupta,Sonal Sharma,Shafiul Haque,Vishnampettai Ganapathysubramanian Ramachandran,Arpeeta Mazumdar,Shivprakash Rudramurthy,Arunaloke 대한진단검사의학회 2018 Annals of Laboratory Medicine Vol.38 No.2

Background: Fungi, especially Aspergillus flavus, can cause chronic rhinosinusitis with nasal polyposis and modulate host innate immune components. The objective of this study was to examine the serum levels of T helper (Th) cell subset Th1, Th2, and Th17 cytokines and total IgE in patients having chronic rhinosinusitis with nasal polyposis and Aspergillus flavus infection.

Relative Expression of Apocarotenoid Biosynthetic Genes in Developing Stigmas of Crocus sativus L.

Javid IqbaLMzr,Raies Ahmad Qadri,Nazeer Ahmed,Tassem Ahmad Mokhdomi,Asrar Hussain Wafai,Sajad Hassan Wani,Shoiab Bukhari,Asif Amin 한국작물학회 2013 Journal of crop science and biotechnology Vol.16 No.3

Saffron, the desiccated stigmas of Crocus sativus, is recognized for its attractive color, flavor, and aroma which are due to the accumulation of crocin, picrocrocin, and safranal, respectively. HPLC analysis demonstrated maximum apocarotenoid accumulation during the fully developed scarlet stage of stigma development followed by the orange and yellow stages of stigma development. Reverse Transcription-PCR analysis revealed a concurrent expression pattern of CsZCD and CsLYC genes in a developmental stagespecific manner. However, CsBCH and CsGT2 genes were specifically expressed during the mature, scarlet stage of stigma development. Real-Time PCR analysis showed a sharp increase in gene expression of CsLYC gene during stigma development indicative of its possible regulatory role in apocarotenoid biosynthesis or stigma development. Results suggest that genetic manipulation of this gene can help to improve the quality of stigma in saffron; besides highlighting its potential to monitor stigma development during in vitro experimentation