academic excellence-driven educator ram u. verma ... · a textbook of abstract algebra, chand &...
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ACADEMIC EXCELLENCE-DRIVEN EDUCATOR
Ram U. Verma3433 Mission Bay Blvd, Suite 331Orlando, FL 32817(407) 951 - 6920, (407) 406 - 4887 (cell)[email protected]
Citizenship Status: United States Citizen
OBJECTIVE
Bring excellence to teaching and learning through positive communication, inspiration and innovation.Develop innovative programs at undergraduate and graduate levels in applied mathematics.Common-sense-use of technology to enhance teaching and learning, especially for calculus and othergraphic calculator-oriented courses. Also use of computer-based programs, especially Mymathlabin classrooms for prealgebra, intermediate algebra, and college algebra.Organize and lead "Research Group" for collaborative research with faculty and students onapplied/computational mathematics, financial mathematics, and optimization theory.Organize and lead "Research Group" for collaborative research on numerical analysis/generalizedNewton's method and applications.Organize and lead "Research Group" for collaborative research on variational problems,complementarity problems, operations research, and management and decision sciences.Organize and lead "Research Group" for collaborative research on nonlinear functional analysis.Advise student research projects at undergraduate as well as graduate levels leading to M.S. andPh.D .
. .RECENT EMPLOYMENTS
University of Toledo, Visiting Assistant Professor (2000 - 2003)University of Akron, Senior Lecturer (2004 - 2005)University of Toledo, Temporary Facuhy (2005 - 2007)Seminole State College of Fk;>rida,Temporary Faculty (2009 - 2010)
EDUCATIONPH. D., UNIVERSITY OF LUCKNOWWES: WORLD EDUCATION SERVICE, NEW YORKU.S. DOCTORATE EQUIVALENCY (2006) - EARNED DOCTORATE ( PH. D.)
RESEARCH INTERESTS
Optimization and control theory, Variatonal problems and applications, NonlinearDifferential equations, Computational mathematics, Generalized Newton's method,Numerical analysis, Operator theory, Functional analysis, and Evolution equations.
BOOK PUBLICATION
A textbook of abstract algebra, Chand & Company
Excerpts from Zentralblatt fUr Mathematik: "This book is self-contained. Thepresentation is very clear and the text is full of well-chosen examples. At the end of eachchapter a list of supplementary problems is given." - L. Crivei
COLLOQUIA AND CONFERENCE PRESENTATIONS
Organized a Special Session at AMS Annual Meeting/ Washington, DC, January 5,2009I-Hour Speaker at WCNA (World Congress on Nonlinear Analysis)/Orlando, July 3, 2008Presented Paper at Special Session: Nonsmooth Optimization, 32nd SIAM SAS Conference,University of Central Florida, Orlando, March 15,2008.Organized a Special Session at AMS Annual Meeting! San Diego, January 9, 2008Organized a Special Session at AMS Annual Meeting/ New Orleans, January 7,2007Colloquium talk at University of Central Florida, Orlando, November 21, 2006Colloquium talk at University of Tennessee at Chattanooga, October 16, 2005Organized a Special Session - Nonlinear Analysis- at the International Conference on Differential andDifference Equations & Applications, August 1-5, 2005, Florida Inst of Technology.Colloquium talk at Ohio University, Athens, Ohio, March 25, 2004Presented a paper at AMS Special Session on Differential Equations and Control Theory, Ohio University,Athens, March 26, 2004Chaired the AMS Session on "Calculus of Variations and Control Theory," Phoenix (2004)
Presented 2 papers at AMS Annual Meeting, Phoenix, 2004Colloquium at Ohio University, Athens, Ohio, 2003Colloquium at University of Toledo, 2001Colloquium Prize (2001) on Differential Equations, Plovdiv, Bulgaria
SCIENTIFIC ORGANIZATIONS
American Ma1J1ematicalSociety, Institute of Basic Research, Courant Institute of Mathematical Sciences(New York University), Duke University, Institute of Basic Research, Italy (Honorary Professor)
REFERENCES
> Professor Eugene Dshalalow, Florida Institute of Technologyl (321) 674-8579 (0)1e-mail: [email protected]
> Professor R. N. Mohapatra, University of Central Florida! (407) 823-5080 (0);(407) 718- 7262 (cell)1e-mail: [email protected]
> Professor Ioannis K. Afgyros, Cameron University of OklahomaE-mail: [email protected]
> Professor Rav N. Kalia, St Cloud State University 1(320) 308-2079 (0)1
e-mail: [email protected]> Professor John R. Graef: University of Tennessee at Chattanooga
e-mail: [email protected]
LIST OF SELECTED RESEARCH PUBLICATIONS
I. (with R.P. Agarwal) General system of (A,l1)-maximal relaxed monotone variational inclusion
problems based on generalized hybrid algorithms, Comm unications in NonlinearScience & Numerical Simulations 15(2010),238 - 251.21.
2. (with R.P. Agarwal) Inexact A-proximal point algorithm and applications to variational
inclusion problems, Journal of Optimization Theory & Applications ( 144(3)(2010),431- 444.
3. The Eckstein-Bertsekas Proximal Point Algorithm and its applications to inclusion problems
based on the generalized firm nonexpansiveness, Dynamics of Continuous, Discrete and
Impulsive Systems (DCDIS), Series A 17(2010),3 I7 - 333.4. (with R.P. Agarwal) Role of relative A-maximal monotonicity in overrelaxed proximal point
algorithms with applications, Journal of Optimization Theory & Applications,143(1)(2009), 1- 15.
5. Role of relatively relaxed proximal point algorithms to the approximation solvability of
nonlinear variational inclusions, International Journal of Pure and Applied
Mathematics 55(2)(2009), 237-246.6. Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on
H-maximal monotonicity frameworks, Electron. Journal of Differential Equations
2009(2009), Number 85, 1- 16.7 Generalized maximal monotonicity models and their applications to nonlinear variational inclusion
problems and beyond, International Journal of Optimization: Theory, Methods &Applications 1(2)(2009), 182 - 206.
8. General implicit variational inclusion problems involving A-maximal relaxed accretive mappings in
Banach spaces, Archivum Mathematicum (Srno) 45(2009), 171-177.
9. A new relaxed proximal point procedure and applications to nonlinear variational inclusions,
Computers and Mathematics with Applications 58(2009),1631-1635.10. General inexact proximal point algorithm and $\eta-$ maximal monotonicity models with applications to
minimization, International Journal of Optimization: Theory, Methods &Applications (in press).
11. Generalized over-relaxed proximal ,point algorithm based on A-maximal monotonicity
fTameworks and applications to inclusion problems, Mathematical & Computer Modelling49(2009), 1587 - 1594.
12. General nonlinear variational inclusion systems involving A-maximal (m)-relaxed monotone,
RMM, AMRM, PSM and cocoercive mappings, Advances in Nonlinear Variational
Inequalities 12(1)(2009), 73 - 99.
13. On the generalized proximal point algorithm with applications to inclusion problems, Journal
of Industrial and Management Optimization 5(2)(2009),381 - 390.14. General over-relaxed proximal point algorithm involving A-maximal relaxed monotone mappings
with applications, Nonlinear Analysis: Theory, Methods & Applications 71(2009),1461-1472
15. General class of nonlinear implicit inclusion problems and A-maximal relaxed monotone models,
Journal of Numerical Mathematics and Stochastics 1(1)(2009),24-32.16. The generalized relaxed proximal point algorithm involving A-maximal relaxed accretive
mappin~ in Banach spaces, Mathematical & Computer Modelling 50(2009),1026 - 1032.17. Approximation solvability of a class of nonlinear set-valued variational inclusions involving
(A,\eta )-monotone mappin~, Journal of Mathematical Analysis and Applications337(2008),969 - 975.
18. (with H.Y. Lan) Iterative algorithms for nonlinear fuzzy variational inclusion systems with
(A,\eta)-accretive mappin~ in Banach spaces, Advances in Nonlinear Variational
Inequalities 11(1)(2008), 15 -- 30.19. (with R.N. Mohapatra) Sensitivity analysis for cocoercively monotone variational inclusions
and (A,\eta)-maximal monotonicity, Journal of Applied Mathematics and Computing26(1-2)(2008), 281 - 293.
20. The over-relaxed proximal point algorithm based on H-maximal monotonicity design and
applications, Computers and Mathematics with Applications 55(2008),2673 - 2679.21. General proximal point algorithm involving \eta-rnxirnal accretiveness framework in Banach spaces,
Positivity 13(4)(2009), 771-782.22. (with R.P. Agarwal) General implicit variational inclusion problems based on A-maximal (m)
relaxed monotonicity (AMRM) frameworks, Applied Mathematics & Computation
215(2009),367--379.23. (with R.P. Agarwal) The over-relaxed T)-proximal point algorithm and nonlinear variational
Inclusion problems, Nonlinear Functional Analysis & Applications 14(4)(2009)(in press).
24. The over-relaxed A-proximal point algorithm and applications to nonlinear variational inclusions
in Banach spaces, Fixed Point Theory 10(1)(2009), 185-195.25. Hybrid over-relaxed proximal point procedure and generalized Yosida reg~arization for first
order evolution inclusions, Nonlinear Studies (in press).
26. A-monotone nonlinear relaxed cocoercive variational inclusions, Central European
Journal of Mathematics 5(2)(2007),386 - 396.
27. Proximal point algorithms and generalized nonlinear variational problems, AppliedMathematics & Computation 187(2007),535-543.
28. A-monotonicity and its role in nonlinear variational inclusions, Journal of Optimization
Theory & Applications 129 (3) (2006), 457- 467.29. (with YJ. Cho & H.Y. Lan) On solution sensitivity of generalized relaxed cocoercive implicit
quasivariational inclusions with A-monotone mappings, Journal of ComputationalAnalysis & Applications 8(1)(2006),75-85.
30. (with R.P. agarwal) Super- relaxed T)-proximal point algorithms, relaxed T)-proxirnal point
algorithms, linear convergence analysis, and nonlinear variational inclusions, Fixed Point
Theory & Applications Vol. 2009(2009), Article ID 957407, 47 pages.
31. (with YJ. Cho & H.Y. Lan) Nonlinear relaxed cocoercive variational inclusions involving
(A,$\eta)-accretive mappings in Banach spaces, Computers & Mathematics with
Applications 51(2006), 1529-153
32. On general over-relaxed proximal point algorithm and applications, Optimization (in press).33. Hybrid proximal point algorithms on (A. tV-maximal monotonicity for nonlinear variational
inclusions, International Journal oj Pure and Applied Mathematics (in press).
34. Some results on R-KKM mappings and R-KKM selections and their applications, Journal oj
Mathematical Analysis and Applications 232(1) (1999), 428-433.
35. On a generalized class of minimax inequalities, Journal oj Mathematical Analysis and
Applications 240 (1999), 361- 366.
36. RKKM mapping theorems and variational inequalities, Mathematical Proceedings oj Royal
Irish Academy 98A(1998), 131-138.
37. On generalized variational inequalities involving relxed Lipschitz and relaxed monotone
operators, Journal oJ Mathematical Analysis and Applications 213 (1997), 387-392.38. Nonlinear uniformly monotone operators and associated nonlinear variational inequalities,
Applicable Analysis 66(1997), 101-106.39. Nonlinear variational and constrained hemivariational inequalities involving relaxed operators,
ZAMM 77(5)(1997), 387-391.40. An iterative procedure for approximating fIxed points of relaxed monotone operators,
Numerical Functional Analysis and Optimization 17(1996),1045-1051.
41. Demiregular convergence and theory of numerical ranges, Journal oj Mathematical
Analysis and Applications 193(1995),483-489.42. Nonlinear demiregular approximation solvability of equations involving strongly accretive
operators, Proceedings oj the American Mathematical Society 123(1995),217-222.43. Regular (}p-erator convergence and nonlinear equations involving numerical ranges,
Proceedings oJ the American Mathematical Society 123(1995), 1859-1861.
44. On regular operator approximation theory, Journal oj Mathematical Analysis and
Applications 183(1994), 591-604.
45. Phi-stable operators and inner approximation-solvability, Proceedings oj the AmericanMathematical Society 117(1.993),491- 499.
46. First-order nonlinear evolution equations nd Yosida approximations based on the relative
maximal monotonicity, International Journal oj Evolution Equations, in press.
47. Hybrid super-relaxed proximal point algorithms and general nonlinear variational inclusion
problems, International Journal oj Pure & Applied Mathematics 60(2)(2010),461-480.
48. The super-relaxed class of relatively proximal point algorithms and their roles to linear
convergence analysis, International Journal oj Optimization: Theory Methods &
Applications 2(1)(2010),21- 29.49. Algebraic type of solutions of singular integral equations of the form (S+T)x = x' in Banach
spaces, Journal oJ Integral Equations & Applications 4(1)(1991),455- 466.