ACADEMIC EXCELLENCE-DRIVEN EDUCATOR

Ram U. Verma3433 Mission Bay Blvd, Suite 331Orlando, FL 32817(407) 951 - 6920, (407) 406 - 4887 (cell)verma99@msn.com

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: eugene@fit.edu

> Professor R. N. Mohapatra, University of Central Florida! (407) 823-5080 (0);(407) 718- 7262 (cell)1e-mail: ramm@mail.ucf.edu

> Professor Ioannis K. Afgyros, Cameron University of OklahomaE-mail: iargyros@carneron.edu

> Professor Rav N. Kalia, St Cloud State University 1(320) 308-2079 (0)1

e-mail: rkalia@stcloudstate.edu> Professor John R. Graef: University of Tennessee at Chattanooga

e-mail: john-graef@Utc.edu

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.