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People : Dr. Arvind Bhatt

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

Dr.Arvind Bhatt is working as an Associate Professor of Department of Mathematics at Uttarakhand Open University, Haldwani. He has to his credit more than 20 research papers in different journals and 02 refereed books. His current area of interests is Fixed point theory,  Optimization,  Functional analysis, Applied  Mathematics. .Dr. Bhatt has worked in the area of fixed point theory. Dr.Bhatt Worked as an Assistant Professor of Mathematics in Applied science Department, Bipin Chandra Tripathi Kumaon Institute of Technology (Formally called kumaon engineering college Dwarahat, Almora, Uttarakhand Technical University, Dehradune. Worked as an Assistant Professor of Mathematics in Moradabad Institute of Technology, UP Technical University, Lucknow. Dr Bhatt worked as a lecturer of Mathematics in Krishna Institute of Management and Technology, Moradabad.

Dr. Bhatt has been reviewer for several archived journals at the International level. indagationes Mathematicae, Journal  of Computational and Applied Mathematics, Journal of Linear and Topological Algebra (JLTA), Gazi University Journal of Science are to name a few of them. He is a member of several academic and professional bodies in the area of Mathematics.

Research Areas : Fixed point theory, Optimization theory, Functional analysis..
Award and Fellowship: Awarded fellowship during school level. Awarded UGC-DST central university fellowship.

List of publications:

 S. No.

Title

Journal

DOI/ISSN/ ISBN No.

Volume and page no

Authors

  1.  

Common fixed point theorems for OWC maps under Relaxed condition

 Nonlinear Analysis Theory Methods and Applications,

 ISSN: 0362-546X 

73 (1), 176-182

A Bhatt, H Chandra, DR Sahu

  1.  

Fixed point theorems for
pairs of Multivalued mappings

Kochi Journal of Mathematics

 ISSN: 1880-5515

4(2009),101-108

H Chandra, A Bhatt

  1.  

Fixed point theorems for occasionally weakly compatible maps in probabilistic
semi - metric space

International journal of Mathematical Analysis

 ISSN: 1314-7579

3 (12), 563-570

H Chandra, A Bhatt

  1.  

Some fixed point theorems for set-valued maps in symmetric spaces

International journal of Mathematical Analysis

 ISSN: 1314-7579

3 (17), 839-846

H Chandra, A Bhatt

  1.  

 fixed point theorems in fuzzy metric spaces

Kochi Journal of Mathematics

 ISSN: 1880-5515

5(2010),37-43

V.Pant,
A Bhatt

  1.  

Common Fixed Points of Weakly Compatible Maps
in Symmetric Spaces

Applied Mathematical Sciences

ISSN: 133-1124

6 (55), 2703-2710

H Chandra, A Bhatt, S Pant

  1.  

Occasionally Weakly Compatible Mapping
in Cone Metric Space

Applied Mathematical Sciences,

ISSN: 2278-1684

6 (55), 2711-2717

A Bhatt, H Chandra

  1.  

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

A Bhatt, H Chandra

  1.  

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)

R.U. Joshi,
R K. Bisht  A. Bhatt

  1.  

g-reciprocal continuity in symmetric spaces

American Journal of Mathematical Analysis

ISSN: 2278-0181

1 (3), 39-41

A Bhatt

  1.  

A Study of D-Operator on Probabilistic
Metric Space

Gazi University Journal of Science

ISSN 1339-2972

27 (3), 917-921

A Bhatt

  1.  

Common Coupled Fixed Point Theorems in
Metric Spaces With W-Distance

Indian Journal Of Applied Research

ISSN 2229-5518

Volume : 4 | Issue : 9 | September 2014

A.Bhatt,
S.Bhatt,
S.Chaukiyal

  1.  

The Study of Common Fixed Points in Complex Valued Symmetric

International journal of scientific research

ISSN 2454-695X

Volume : III, Issue : X, October - 2014

 

A.Bhatt

  1.  

Common Fixed Points for 𝑷𝑫− Operator on
Probabilistic Metric Space

Gazi University Journal of Science

ISSN: 2278-0181

28(3):457-463 (2015)

A.Bhatt

  1.  

 𝒈−Reciprocal Continuity in Probabilistic
MetricSpaces

Gazi University Journal of Science

ISSN: 2250-1371

28(4):645-649 (2015)

A.Bhatt

  1.  

A Study of generalized PD-Operators on Probabilistic metric space

Nonlinear Functional Analysis and Applications

ISSN: 2454-6410

21(1)2016

A.Bhatt

  1.  

Fixed point in fuzzy metric space

International Journal of Research and Analytical Reviews (IJRAR

ISSN: 2348-1269

6(2)410-417(2019)

A.Bhatt

  1.  

Mathematical modelling 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

 

 

A.Bhatt

  1.  

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

 

A.Bhatt

  1.  

A Short Survey of the Development of Fixed Point Theory in Different Spaces

Proceeding of the 2nd
National Conference on
Recent Advances in Sciences
& Technology at SIT Pithoragarh,

ISBN:978-93-85777-96-7

 

A.Bhatt

Books published as author:

S.N.

Title with page no.

Type of Book & Authorship

Publisher & ISSN/ISBN No.

No. of Co-author  & Date of Publication

1

Existence of common Fixed Points in Generalized Metric Spaces, 120

LAMBERT academic publishing

ISSN: 978-3-659-25380-5

October-2012

2

Engineering Mathematics Volume-I

Jagdumba Publishing Company

ISBN:9385437236

2,January-2021

Delivered Lecture:
Delivered a lecture entitled “fixed point in metric space” in the 2nd National conference on Recent Trends in Mathematics with Applications “in the NCRTMA -20 organized by Shri Ramswaroop memorial university, Lucknow during 30 -31 January, 2020.

 Online Training Programme:
Qualified Eight week online training programme of NPTEL( free online education SWAYAM)   entitled course  “Introduction to research” in the year 2019.
Programme Organized:
1:            Organized a One week workshop on “Advantages of New Education policy  in the indian Context” at Applied Science Department, Bipin Triphati Kumaon Institute of   Technology, Dwarahat, Almora, Uttarakhand, India on 21-25 October 2020.
2:            Organized a One day workshop on “National workshop on Teaching & Learning Methodology” at Applied Science Department, Bipin Triphati Kumaon Institute of   Technology, Dwarahat, Almora, Uttarakhand, India on 21-25 October 2020.
3:            Organized a Three days workshop on “Workshop on NBA and AICTE Mandate” at Computer Science Department, Bipin Triphati Kumaon Institute of   Technology, Dwarahat, Almora, Uttarakhand, India on 21-25 October 2020.
 National/International Seminars/Conferences:

1:    Actively participated and presented a Paper entitled “fixed point theorems for pairs of   multivalued maps” in the National meet of research scholar in the NMRSMS -2008 organized by IIT, Kanpur during 6 -10 December, 2008.

2:    Actively participated and presented a Paper entitled “common fixed point theorems of owc maps under relaxed condition” in the International conference organized by G.B.Pant.Agriculture and Technology, Pantnagar during 19-22 December, 2007.

3:    Actively participated and presented a research paper in the International symposium of rock mechanic and geo environment in mining and allied industries, RGMA-09 department of Mining engineering, Institute of technology, Banaras Hindu University during 12th-14th February, 2009.

4:    Actively participated and presented a Paper entitled “fixed point theorems in fuzzy metric space for discontinuous mappings” in national conference organized by department of Mathematics, Faculty of Science, Banaras Hindu University during 19th -21st March, 2009.

5:  Actively participated and presented a Paper entitled “A Study of PD-operators on Probabilistic metric space ” in national conference organized by department of Mathematics, department of Mathematics & Astronomy, Lucknow University during 29th November-1st December, 2013.

6:    Actively participated in the scientific deliberations in the section Mathematical Sciences during 91st session of Indian science congress association held at Punjab University Chandigarh from January 3- 7, 2004.

7: Actively participated in the XXI National conference organized by The Mathematical society Banaras Hindu University, Varanasi during March, 2006.
8:    Actively participated in the XXIV National conference organized by The Mathematical society Banaras Hindu University, Varanasi during 30-31 December, 2008.
9:    Actively participated in the conference on Mathematics – 2006 held on Nov 2006 at the department of Mathematics & Astronomy, Lucknow University.
10:  Actively participated in the National conference on modern analysis and allied areas organized by Banaras Hindu University, Varanasi during Feb, 2007.
11:  Actively participated in the “Instructional workshop on Wavelet Analysis” organized in the Department of Mathematics, Banaras Hindu University, Varanasi during Oct, 2007.
12:  Actively participated in the National conference on “High performence and computer application” – 2009 held on Feb, 2009 at the department of Computer science, Banaras Hindu University.
13:  Actively participated in the National conference on “moderen analysis and it’s applications” organized by Banaras Hindu University, Varanasi during March, 2009.               
14: Actively participated in the 6th Uttarakhand state Science & Technology Congress-2011 organized by  S.S.J.Campus , Kumaun University, Nainital during14-16November, 2011.
15:  Actively participated in the National webinar entitled “Human Diseases : A Mathematical Approach” organized by by Faculty of Mathematical & Statistical Sciences, Institute of Natural Sciences & Humanities, Shri Ramswaroop memorial university, Lucknow during 14-15 June, 2020.
16:   Actively participated in the National webinar entitled “Recent trends in Physics” organized by Nanhi Pari Seemant Engineering Institute, Pithoragarh during 18-19 August, 2020.
17:  Actively participated in the One week International E-Faculty Development Programme on  “Fixed point theory and applications” organized by Department of Mathematics and Statistics, School of Basic Sciences, Manipal University Jaipur during 15-19 September, 2020.
18: Actively participated in the One week Faculty Development Programme on  “Advanced Research Trends in Artificial Inteiligence, Pattern Recognition and image processing” organized by Computer Science and Engineering Department, Bipin Triphati Kumaon Institute of   Technology, Dwarahat during 25-30 September, 2020.
19:  Actively participated in the Professional development training under TEQUIP-III organized by by IIM Kashipur during 28-30 October, 2020

For Administrative enquiries:

Uttarakhand Open University

Behind Transport Nagar, Vishwavidyalaya Marg,
Haldwani (Nainital) 263139 Uttarakhand

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