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Dr. Arvind Bhatt

Designation Professor
School / Department School of Sciences , Mathematics
Qualification PhD (Mathematics), M.Sc.(Mathematics)

Professor.Arvind Bhatt is working in Department of Mathematics, School of Science, Uttarakhand Open University, Haldwani, Distt- Nainital (Uttarakhand).

Professor Bhatt has completed Ph. D. in Mathematics in 2009 from Institute of Science, Banaras Hindu University,Varanasi.

Professor. Bhatt worked as a lecturer of Mathematics in Krishna Institute of Management and Technology, Moradabad, (Krishna group) UP Technical University, Lucknow (June 2009 to Jan 2010).  Worked as an Assistant Professor of Mathematics in Moradabad Institute of Technology, UP Technical University, Lucknow (Feb 2010 тАУ July 2010). Worked as an Assistant Professor of Mathematics in Applied science Department, Bipin Tripathi Kumaon Institute of Technology (Formely known as Kumaon engineering college) Dwarahat, Almora, Uttarakhand Technical University, Dehradune (Aug 2010 тАУ Feb 2021).

After that they have worked as an Associate Professor of Mathematics in Department of Mathematics, School of Science, Uttarakhand Open University, Haldwani, Uttarakhand, India (March 2021 тАУ  28 October 2024)Presently he is working as a professor in Department of Mathematics, School of Science, Uttarakhand Open University, Haldwani, Uttarakhand, India since 29th October 2024. 

Research Areas : Fixed point theory,  Operator theory and Mathematical Modelling

LIST OF PUBLICATIONS:

  1. A Bhatt, H Chandra, DR Sahu, тАЬCommon fixed point theorems for OWC maps under Relaxed conditionтАЭ, Nonlinear Analysis Theory Methods and Applications, 73 (1), 176-182, ISSN: 0362-546X , DOI: https://doi.org/10.1016/j.na.2010.03.011.
  2. H Chandra, A Bhatt, тАЬFixed point theorems for pairs of multivalued mappingsтАЭ, Kochi Journal of Mathematics 4(2009),101-108,  ISSN: 1880-5515, DOI: http://www.math.kochi-u.ac.jp/journal/newjour4.html.
  3. H Chandra, A Bhatt, тАЬFixed point theorems for occasionally weakly compatible maps in probabilistic semi - metric spaceтАЭ, International journal of Mathematical Analysis, 3 (12), 563-570ISSN: 1314-7579, DOI: https://www.m-hikari.com/ijma/ijma-password-2009/ijma-password9-12-2009/index.html.
  4. H Chandra, A Bhatt, тАЬSome fixed point theorems for set-valued maps in symmetric spacesтАЭ, International journal of Mathematical Analysis, 3 (12), 563-570, ISSN: 1314-7579, DOI: https://www.m-hikari.com/ijma/ijma-password-2009/ijma-password9-12-2009/index.html.
  5. Pant, A Bhatt, тАЬFixed point theorems in fuzzy metric spacesтАЭ, Kochi Journal of Mathematics, ISSN: 1880-5515, 5(2010),37-43,DOI: http://www.math.kochi-u.ac.jp/journal/newjour5.html
  6. H Chandra, A Bhatt, S Pant, тАЬCommon Fixed Points of Weakly Compatible Maps in Symmetric SpacesтАЭ, Applied Mathematical Sciences, ISSN: 133-1124, 6 (55),2012, 2703-2710, DOI: https://www.m-hikari.com/ams/ams-2012/ams-53-56-2012/bhattAMS53-56-2012-1.pdf.
  7. A Bhatt, H Chandra, тАЬOccasionally Weakly Compatible Mapping in Cone Metric SpaceтАЭ, Applied Mathematical Sciences, ISSN: 2278-1684, 6 (55),2012,2711-2717, DOI: https://www.m-hikari.com/ams/ams-2012/ams-53-56-2012/index.html.
  8. U. Joshi, R K. Bisht A. Bhatt, тАЬ Common Fixed Points under Strict Contractive Condition and g-reciprocal ContinuityтАЭ, Journal of International Academy of Physical Sciences, ISSN: 2278-0181, Vol. 16 No.1 (2012) DOI: https://www.iaps.org.in/journal/index.php/journaliaps/article/ view/231.
  9. A Bhatt, H Chandra, тАЬCommon Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric SpaceтАЭ, Journal of Function Spaces and Applications, ISSN: 2278-1684, 2013. Article ID: 846315 , DOI: https://doi.org/10.1155/2013/846315.
  10. Bhatt, тАЬg-reciprocal continuity in symmetric spacesтАЭ, American Journal of Mathematical Analysis, ISSN: 2278-0181, 1 (3),2013, 39-41, DOI:10.12691/ajma-1-3-3.
  11. Bhatt, тАЬA Study of D-Operator on Probabilistic Metric SpaceтАЭ Gazi University Journal of Science, ISSN 1339-2972, 27 (3), 2014, 917-921, DOI: https://dergipark.org.tr/en/ download/ article-file/83647.
  12. Bhatt, S.Bhatt, S.Chaukiyal, тАЬCommon Coupled Fixed Point Theorems in Metric Spaces With W-DistanceтАЭ, Indian Journal Of Applied Research, ISSN 2229-5518, 4(9) September 2014, 917-921, DOI: 10.36106/IJAR.
  13. Bhatt, тАЬThe Study of Common Fixed Points in Complex Valued Symmetric SpacesтАЭ, International journal of scientific research, ISSN 2454-695X, III(X), October тАУ 2014, DOI: 10.36106/IJSR.
  14. Bhatt, тАЬCommon Fixed Points for ЁЭС╖ЁЭСлтИТ Operator on Probabilistic Metric SpaceтАЭ, Gazi University Journal of Science, ISSN 1339-2972, 28(3):457-463 (2015), DOI: https://dergipark.org.tr/en/download/article-file/83736.
  15. Bhatt, тАЬЁЭТИтИТReciprocal Continuity in Probabilistic Metric SpacesтАЭ Gazi University Journal of Science, ISSN 1339-2972, 28(4):645-649 (2015), DOI: https://dergipark.org.tr/en/download/ article-file/83740.
  16. Bhatt, тАЬЁЭТИтИТReciprocal Continuity in Probabilistic Metric SpacesтАЭ, Gazi University Journal of Science, ISSN 1339-2972, 28(4):645-649 (2015), DOI: https://dergipark.org.tr/en/download/ article-file/83740.
  17. Bhatt, тАЬA Study of generalized PD-Operators on Probabilistic metric spaceтАЭ, Nonlinear Functional Analysis and Applications, ISSN: 2454-6410, 21(1)2016, DOI: http://nfaa. kyungnam. ac.kr/journal-nfaa/index.php/NFAA/article/view/379/321
  18. Bhatt, тАЬFixed point in fuzzy metric spaceтАЭ, International Journal of Research and Analytical Reviews(IJRAR), 6(2)410-417(2019), ISSN: 2348-1269,DOI: http://www.ijrar.org/papers/ IJRAR19K7043.
  19. Kumar, A.Bhatt, P.Singh, тАЬThe Kannan Contraction Mapping Theorem for Weighted Composition transformation in Metric SpacesтАЭ, Journal of Scientific Research (BHU), ISSN: 0447-9483, 66(3)2022, 198-201.DOI: http://dx.doi.org/10.37398/JSR.2022.660324
  20. K.Sharma, A.Bhatt, P.Singh, тАЬApplications of Multi-Reverse PrimesтАЭ, Journal of Scientific Research (BHU), 67(4)2023, 58-61, ISSN: 0447-9483.

DOI: http://dx.doi.org/10.37398/JSR.2023.670410

  1. Radha, A.Bhatt and D.K.Sharma, тАЬStudy of Extended Contraction Mapping in Probabilistic Metric SpaceтАЭ Stochastic Modelling and Computational Sciences, 3(1)June, 2023, 231-236. ISSN: 2752-3829, DOI: https://zenodo.org/records/13447347.
  2. Naudiyal and A.Bhatt, тАЬComparative Study of Composition Operator and Sum of Two Composition Operators on the Banach SpaceтАЭ International Journal of Research and Analytical Reviews(IJRAR), 11(1) Jan 2024, 182-187. ISSN: 2348-1269,

DOI : http://ijrar.org/viewfull.php?&p_id=IJRAR24A1420.

  1. Bhatt and Radha, тАЬExtended Contraction Mapping and Study of Periodic Point in Symmetric SpacesтАЭ, International Journal for Multidisciplinary Research (IJFMR), 6(1) Jan-Feb 2024, E-ISSN: 2582-2160, IJFMR 240122509.

DOI: https://doi.org/10.36948/ijfmr.2024.v06i01.22509.

  1. Bhatt and Radha, тАЬStudy of Fixed point and Periodic Point Theorems in Symmetric SpacesтАЭ, International Journal for Multidisciplinary Research (IJFMR), 6(1) Jan-Feb 2024, E-ISSN: 2582-2160. IJFMR 240124010, DOI:https://doi.org/10.36948/ijfmr.2024.v06i01.24010.
  2. Bhatt, H.Chandra and M.I.Khan, тАЬAntinormal Operators and Antinormality of Composition Operators on тАЭ, Communications of Korean Mathematical Society, 39(2024), No.4, pp. 839-849. ISSN 1225-1763 (Print edition), ISSN 2234-3024 (Online edition).

DOI: https://doi.org/10.4134/CKMS.c230167.

  1. Fulara, A.Bhatt, D.K.Sharma, S.Agrawal, G.Mathpal and R.Mathpal, тАЬStatistical Analysis and Distribution of Fermat Pseudoprimes Within the Given IntervalтАЭ, International Journal of Expermental Research and Review (IJERR), ISSN:2455-4855, 44:115-120(2024).DOI: https:// doi.org/10.52756 /ijerr.2024.v44spl.010.
  2. K.Tiwari, S.K.Ravi, R.Sethi and A.Bhatt, тАЬMathematical modeling of second grade fluid in the porous material with given volume flow rate variationтАЭ, Proceeding of  international symposium of rock mechanic and geo environment in Mining and allied Industries, I.T, BHU. Feb12-14,2009.
  3. Bhatt, тАЬThe Study of Common Fixed Points for Operator On Probabilistic on Semi Metric SpaceтАЭ, Proceeding of the 1st National Conference on Recent Advances in Sciences & Technology at SIT Pithoragarh. ISBN: 978-93-85437-03-8, August 22-23, 2015
  4. Bhatt, тАЬA Short Survey of the Development of Fixed Point Theory in Different SpacesтАЭ, Proceeding of the 2ndNational Conference on Recent Advances in Sciences& Technology at SIT Pithoragarh. ISBN:978-93-85777-96-7, August29-30, 2016
  5. Bhatt and S.Upadhyay, тАЬA Survey of Fixed Point Theory and Relation with Integral EquationsтАЭ, Proceedings of the National Conference of Mathematics and itтАЩs Application in Science (NCMAS 2022),56-66. ISBN : 978-93-85777-96-7, 22 November 2022.
  6. I.Khan and A.Bhatt, тАЬSum of Composition OperatorsтАЭ, Proceedings of the National, Conference of Mathematics and itтАЩs Application in Science (NCMAS 2022), 65-68. ISBN : 978-93-85777-96-7, 22 November 2022.
  7. P.Joshi, A.Bhatt, M. Manu, A. Kumar, S. Pant, P. Joshi, тАЬAmbiguous Fuzzy Averaging Operator Based Decision-Making Approach with Application to Classification of Renewable Energy SourcesтАЭ, International Conference on Power Energy, Environment and Intelligence Control (PEEIC), IEEE, December, 2023,197-202, Electronic ISBN:979-8-3503-5776-9 Print on Demand(PoD) ISBN:979-8-3503-5777-6, DOI: 10.1109/PEEIC59336.2023.10450757.
  8. P.Joshi, A.Bhatt, M. Manu, Kumar. A. Pant. S, Giri. тАЬ Geometric Aggregation Operator for MCDM Method Based on AIFS Information: Application to Renewable-Energy-Source-Selection ProblemsтАЭ International Conference on Power Energy, Environment and Intelligence Control (PEEIC), IEEE, December, 2023, 208-213, Electronic ISBN:979-8-3503-5776-9, Print on Demand(PoD) ISBN:979-8-3503-5777-6 DOI: 10.1109/PEEIC59336.2023.10451899

 

BOOKS PUBLISHED AS AUTHOR/CHIEF EDITOR:

  1. Bhatt, Existence of common Fixed Points in Generalized Metric Spaces, 120, LAMBERT academic publishing, ISSN: 978-3-659-25380-5, October-2012.
  2. P.Joshi, N.Joshi, A.Bhatt, Engineering Mathematics Volume-I, Jagdumba Publishing Company, ISBN:9385437236, 2,January-2021.
  3. Bhatt, B.P.Joshi, A Textbook of Matrix Theory, Pacific Books International, ISBN: 978-93-92469-74-9, January -2024.
  4. Chief Editor of Proceedings of National Conference on Mathematics and itтАЩs application in Sciences at Department of Mathematics, School of Science, Uttarakhand Open University, Haldwani on 22-23 December 2022 published by pacific books international , ISBN 978-93-92469-16-9.

 

PATENT:

  • Patent application Publication, India, Application No. 202211004464 Date of filing of Application: 27/01/2022.Publication Date: 11/02/2022Title of the invention: Detection and Enhancement of Medical Mages Using Deep Learning. The Patent Office Journal No. 06/2022 Dated 11/02/2022
Title Language Audio file
National Science Day Hindi

National Science Day.mp3

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About Ramanujan part 2 with prof. Arvind.mp3

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About Ramanujan with Prof Arvind part 1.mp3

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New Year Msg.mp3