Dr Rakesh Batra

Assistant Professor | Department of Mathematics Contact (Off.): 9868000827 Contact (Res. / Mob.): 9868000827 Email Address : rakeshbatra.30@gmail.com

Specialization

Analysis and Topology

Educational Qualifications B.Sc.(H) Mathematics , 2000 , Rajdhani College, University of Delhi
M.Sc. Mathematics , 2002 , Hans Raj College, University of Delhi
M.Phil. Mathematics , 2005 , Department of Mathematics, University of Delhi
Ph.D. Mathematics , 2016 , Department of Mathematics, University of Delhi

Career Profile

1. Worked as a lecturer(ad-hoc) in Bhaskaryacharya College of Applied Sciences, Dwarka, Delhi University from September 15, 2004 to July 15, 2005.

2. Worked as a lecturer(ad-hoc) in S.G.T.B. Khalsa College, Delhi University from July 16, 2005 to December 31, 2006.

3. Worked as an Assistant Professor(ad-hoc) in S.G.T.B. Khalsa College, Delhi University from January 01, 2006 to July 15, 2006.

4. Worked as an Assistant Professor(temporary) in Deen Dayal College, Delhi University from July 16, 2006 to August 28, 2006.

5. Worked as an Assistant Professor(Permanent) in Hans Raj College from August 28, 2006 till date.

6. Worked as a guest faculty in Guru Nanak Institute of Management Indraprastha University, Delhi.

7. Worked as a guest faculty in Saheed Sukhdev College of Business Studies, Deshbandhu College, Ramjas College, Hindu College, Motilal Nehru College, Keshav Mahavidalya, Institute Of Home Economics, Delhi University.

8. Worked as a guest faculty in Non Collegiate Women's Education Board, University of Delhi to teach M.Sc. students.

9. Worked as a guest faculty in the Department of Geology, University of Delhi to teach M.Sc.(Integrated)Earth Sciences students.

Subjects taught

Calculus, Analysis, Abstract Algebra,Discrete Mathematics, Boolean Algebra, Probability theory, Statistics, Differential Equations, Numerical Methods,Operational Research, Inventory Control, Algebraic Topology, Module Theory, Geostatistics

Administrative Assignments

Member in Portal Development Committee,

Garden Committee,

Canteen Committee,

Student Welfare Committee,

Departmental Admission Committee

Teacher In-Charge: Mathematics Department

Thesis

Coincidences and Fixed Point Theorems on Metric Spaces, Registered(November 22, 2012), Awarded(December 14, 2016)

Books

Chapter titled "Taylor’s Theorem and its Applications" published by Institute of Lifelong Learning, Delhi University with ISSN 2349-154X

Journals Articles

1. R. Batra and S. Vashistha, Coupled coincidence point theorems for nonlinear contractions under c-distance in cone metric spaces, Ann. Funct. Anal. 4(1) (2013), 138-148.

2. R. Batra and S. Vashistha, Coupled coincidence point theorems for nonlinear contractions under (F, g)-invariant set in cone metric spaces, J. Nonlinear Sci. Appl. 6(2) (2013), 86-96.

3. R. Batra and S. Vashistha, Some coupled coincidence point results under c-distance in cone metric spaces, Eng. Math. Lett. 2(2) (2013), 90--114.

4. R. Batra and S. Vashistha, Fixed point theorem for Fw-contractions in complete metric spaces, J. Nonlinear Analysis Appl. 2013 (2013), 1--6.

5. R. Batra and S. Vashistha, Fixed points of an F-contraction on metric spaces with a graph, Int. J. Comput. Math. 91(2014), no. 12, 2483--2490.

6. Rakesh Batra, Sachin Vashistha, Rajesh Kumar , “Coincidence Point Theorem for a New Type of Contraction on Metric Spaces”, Int. Journal of Math. Analysis, Vol. 8, 2014, no. 27, 1315 --1320, HIKARI Ltd, www.m-hikari.com, http://dx.doi.org/10.12988/ijma.2014.45147.

7. Rakesh Batra, Sachin Vashistha, Rajesh Kumar, “Coupled coincidence point theorems for mappings without mixed monotone property under c-distance in cone metric spaces”, J. Nonlinear Sci. Appl. 7 (2014), 345--358.

8. Rakesh Batra, Sachin Vashistha, Rajesh Kumar, “A coincidence point therem for F -contractions on metric spaces equipped with an altered distance”, J. Math. Comput. Sci. 4 (2014), no. 5, 826—833.

9. Rakesh Batra, Sachin Vashistha, Rajesh Kumar, "Fixed point theorems under w-distance on a metric space endowed with a graph", Journal of Nonlinear Analysis and Application, Volume 2015, No. 1 (2015), 57-65. http://dx.doi.org/10.5899/2015/jnaa-00258.

10.  Rakesh Batra, Sachin Vashistha, Rajesh Kumar , “Fixed point theorems for F type contractions under w-distance on a metric space with a graph”,  (Communicated in 2015).

11. Rakesh Batra, “A global optimal approximate solution for proximally F-dominated mappings” (Communicated in 2016).

12. Rakesh Batra, Sachin Vashistha, Rajesh Kumar, "Fixed points for (G,φ)-contractions in vector metric spaces endowed with a graph”, FILOMAT, Volume 31, No. 7 (2017), 2093-2101.

13. Rakesh Batra, “Common fixed points for F-dominated mappings”, Global Journal of Pure and Applied Mathematics, Volume 13, No. 3 (2017), 885–892.

14. Rakesh Batra, Sachin Vashistha, “A generalized contraction principle under w-distance for a partially ordered metric space”,  Bulletin of the Malaysian Mathematical Sciences Society, Volume 40, No. 3 (2017), 1159-1174.

Conference/ Symposium etc. Paper Presented

Rakesh Batra, Common fixed points for F-dominated mappings, National Seminar on Recent Developments in Mathematics, Kalindi College, University of Delhi, January 12-13, 2017.

Talks

1. Invited as a resource person at workshop for T.G.T. in govt. schools of Delhi organised by SCERT, Delhi.

2. Workshop on LATEX organized by Department of Mathematics, Hans Raj College, University of Delhi.

Workshop/ Conference/ Symposium ATTENDED

(i) One day workshop on "Mathematica" on December 8, 2010.

(ii) “National workshop on Analysis” from September 27, 2008 to September 28, 2008.

(iii) National seminar on Transformation in Technology & Life From April 2,2007 to April 4,2007.

(iv) 13th Annual Conference of Jammu Mathematical Society from February 21-23, 2007.

(v) 17th Annual Conference of Jammu Mathematical Society from March 31,2007 to April 3,2007.

(vi) International Congress and 8th Conference of Indian Society of Industrial and Applied Mathematics on Certain Emerging Areas in Applicable Mathematics, Department of Mathematics, University of Jammu, from March 31,2007 to April 3,2007.

(vii) International Conference on Operator Theory and Related Areas, Department of Mathematics, University of Delhi, January 9-12, 2008.

(viii) Advance Training in Mathematics School (ATML) in Geometric Complex Analysis held at Department of Mathematics , University of Delhi from March 21,2011 to April 2,2011.

(ix) Advance Training in Mathematics School (ATML) in Real Analysis and Measure Theory held at Institute of Life Long Learning, University of Delhi from March 26, 2012 to April 7, 2012.

(x) International Conference “The Legacy of Srinivasa Ramanujan” University of Delhi, 17-22 December, 2012.

(xi) Level II of Mathematics Training and Talent Search Programme (Funded by NBHM) held at R.I.E.,Mysore from May 26, 2003 to June 14, 2003.

(xii) RMS-UGTE Workshop on “Finite Group And Applications” from 7th-9th February 2014 at Deshbandhu College, University of Delhi.

(xiii) Ramanujan College Sponsored Faculty Development Programme on Computational, Mathematical and Statistical Techniques (CMST-2014) from 31st October 2014 to 1st November 2014.

(xiv) Workshop on Human Rights from 06 July 2015 to 11 July 2015 organised by Human Resource Development Centre and Centre for Professional Development in Higher Education, University of Delhi, Delhi.

Others

1.  Participated in Selection Committees to appoint lecturers in D.A.V. College Jalandhar.

2. Participated in Selection Committees of D.A.V. School Mukherjee Nagar to appoint P.R.T. teachers.

3. Participated in Selection Committe of D.A.V. School, Ashok Vihar to appoint P.G.T. Mathematics.

4. Participated in Curriculum Development Committee to frame syllabus for B.Sc. Programme CBCS of I.G.N.O.U.

5. Acted as a reviewer of research papers in international journals.

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