People : Dr. Arvind Bhatt

Name: Dr. Arvind Bhatt
Designation: Professor
School : School of Sciences, Mathematics
Qualification: PhD (Mathematics), M.Sc.(Mathematics)
Phone : 8979067260
Email : [email protected]

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 – 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 – 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 –  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, “Common fixed point theorems for OWC maps under Relaxed condition”, 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, “Fixed point theorems for pairs of multivalued mappings”, 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, “Fixed point theorems for occasionally weakly compatible maps in probabilistic semi - metric space”, 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, “Some fixed point theorems for set-valued maps in symmetric spaces”, 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, “Fixed point theorems in fuzzy metric spaces”, 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, “Common Fixed Points of Weakly Compatible Maps in Symmetric Spaces”, 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, “Occasionally Weakly Compatible Mapping in Cone Metric Space”, 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, “ Common Fixed Points under Strict Contractive Condition and g-reciprocal Continuity”, 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, “Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space”, Journal of Function Spaces and Applications, ISSN: 2278-1684, 2013. Article ID: 846315 , DOI: https://doi.org/10.1155/2013/846315.
  10. Bhatt, “g-reciprocal continuity in symmetric spaces”, American Journal of Mathematical Analysis, ISSN: 2278-0181, 1 (3),2013, 39-41, DOI:10.12691/ajma-1-3-3.
  11. Bhatt, “A Study of D-Operator on Probabilistic Metric Space” 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, “Common Coupled Fixed Point Theorems in Metric Spaces With W-Distance”, Indian Journal Of Applied Research, ISSN 2229-5518, 4(9) September 2014, 917-921, DOI: 10.36106/IJAR.
  13. Bhatt, “The Study of Common Fixed Points in Complex Valued Symmetric Spaces”, International journal of scientific research, ISSN 2454-695X, III(X), October – 2014, DOI: 10.36106/IJSR.
  14. Bhatt, “Common Fixed Points for 𝑷𝑫− Operator on Probabilistic Metric Space”, 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, “𝒈−Reciprocal Continuity in Probabilistic Metric Spaces” 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, “𝒈−Reciprocal Continuity in Probabilistic Metric Spaces”, 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, “A Study of generalized PD-Operators on Probabilistic metric space”, 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, “Fixed point in fuzzy metric space”, 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, “The Kannan Contraction Mapping Theorem for Weighted Composition transformation in Metric Spaces”, 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, “Applications of Multi-Reverse Primes”, 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, “Study of Extended Contraction Mapping in Probabilistic Metric Space” 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, “Comparative Study of Composition Operator and Sum of Two Composition Operators on the Banach Space” 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, “Extended Contraction Mapping and Study of Periodic Point in Symmetric Spaces”, 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, “Study of Fixed point and Periodic Point Theorems in Symmetric Spaces”, 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, “Antinormal Operators and Antinormality of Composition Operators on ”, 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, “Statistical Analysis and Distribution of Fermat Pseudoprimes Within the Given Interval”, 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, “Mathematical modeling of second grade fluid in the porous material with given volume flow rate variation”, Proceeding of  international symposium of rock mechanic and geo environment in Mining and allied Industries, I.T, BHU. Feb12-14,2009.
  3. Bhatt, “The Study of Common Fixed Points for Operator On Probabilistic on Semi Metric Space”, 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, “A Short Survey of the Development of Fixed Point Theory in Different Spaces”, 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, “A Survey of Fixed Point Theory and Relation with Integral Equations”, Proceedings of the National Conference of Mathematics and it’s Application in Science (NCMAS 2022),56-66. ISBN : 978-93-85777-96-7, 22 November 2022.
  6. I.Khan and A.Bhatt, “Sum of Composition Operators”, Proceedings of the National, Conference of Mathematics and it’s 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, “Ambiguous Fuzzy Averaging Operator Based Decision-Making Approach with Application to Classification of Renewable Energy Sources”, 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. “ Geometric Aggregation Operator for MCDM Method Based on AIFS Information: Application to Renewable-Energy-Source-Selection Problems” 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 it’s 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
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