Research

Research Profile

Research Areas

• Optimization Theory: Nonsmooth Analysis, Variational Inequality, Convex Optimization
• Geometric Functional Analysis
• Elementary Number Theory

Publications

Total Citations: 25+ | h-index: 2 | i10-index: 1

Triloki Nath

Some Proofs of Infinitude of Primes

Pal. J. Math. (Accepted)

Scopus

Triloki Nath

An Elementary Proof of the Power Rule of Differentiation

Resonance: Journal of Science Education, 26 (2021) (26) 1585-1587

Publisher: Springer Scopus UGC-CARE

Triloki Nath

Differentiability of distance function and the proximinal condition implying convexity

Journal of Analysis, 29 (2021) 247-261

ISSN: 2367-2501 Publisher: Springer Scopus UGC-CARE

Abeka Khare and Triloki Nath

Improved enhanced Fritz John condition and constraint qualifications using convexificators

RAIRO-Operations Research, 55 (2021) S271-S288

[Impact Factor 2.085] ISSN: 0399-0559 Scopus SCI

Abeka Khare and Triloki Nath

Enhanced Fritz John stationarity, new constraint qualifications and local error bound for mathematical programs with vanishing constraints

J. Math. Anal. App., 472 (2019) 1042-1077

[Impact Factor 1.583] Publisher: Elsevier ISSN: 0022-247X Scopus SCI

Triloki Nath and Abeka Khare

On an exact penality result and new constraint qualifications for mathematical programs with vanishing constraints

Yugoslav Journal of Operations Research, 29 (2019) 309-324

[Impact Factor 1.031] ISSN: 0354-0243 Scopus SCI

Triloki Nath and S.R. Singh

Boundedness of certain sets of Lagrange multipliers in vector optimization

Applied Mathematics and Computation, 271(2015) 429-435

[Impact Factor 4.091] Publisher: Elsevier ISSN: 0096-3003 Scopus SCI

Triloki Nath and S.R. Singh

Nonsmooth vector optimization and vector variational-like inequalities to infinite dimensional spaces

Advances in Nonlinear Variational Inequalities, 14 (2011) 35-46

ISSN: 0096-3003 Scopus SCI

Triloki Nath and S.R. Singh

Michel-Penot Subdifferential and Lagrange Multiplier Rule

WSEAS Transactions on Mathematics, Volume 10, Year 2011, Pages 139-148

ISSN: 1109-2769 Scopus

Triloki Nath and S. R. Singh

An intutive solution of a convexity problem

Resonance, 16 (2011) 188-189

ISSN: 0973-712X Scopus UGC-CARE List

Ph.D. Supervision

[Student Name - Awarded]

Awarded

Enhanced Stationarity and Constraint Qualification for Mathematical Programs with Vanishing Constraints

[Student Name - Current]

Ongoing

Currently working under co-supervision.

Research Projects

UGC-Startup Grant

Status: Completed

Funding: Rs. Six Lakhs

Agency: University Grants Commission (UGC)