DEPARTMENT.FACULTY
![photo](https://api.amu.ac.in/storage/images/empphoto/10060466-1697453906.jpg)
- DEPARTMENT_STAFF.QUALIFICATION
MPhil, PhD
- DEPARTMENT_STAFF.DESIGNATION
Assistant Professor
- DEPARTMENT_STAFF.THRUST_AREA
Differential Geometry, Generalized Convexities, Variational Inequalities, Optimization.
- DEPARTMENT_STAFF.ADDRESS
Department of Mathematics, AMU Aligarh
- DEPARTMENT_STAFF.MOBILE
9705500860
- DEPARTMENT_STAFF.EMAIL
akhlad6star@gmail.com, akhlad.mm@amu.ac.in
- DEPARTMENT_STAFF.TIME_TABLE
Dr. AKhlad Iqbal has done his MPhil and PhD from Department of Mathematics, AMU Aligarh. He Joined as Assistant Professor on Aug, 2015. Before joining AMU, he has worked in Integral University Lucknow, BITS-Pilani Hyderabad Campus and Central University of Punjab, Bhatinda. He has been accorded several prestigious awards and fellowships viz. CSIR-NET (AIR: 32), CSIR-SRF, GATE, NBHM-PDF, Fellowship for MS program from Central European University, Budapest, Hungary.
He has visited several countries and delivered talks on different topics at national and international conferences/seminars. He has several publications in the journal of national and international repute like: Journal of Optimization Theory and Applications (Springer), Nonlinear Analysis: Theory, Methods and Applications (Elsevier), Optimization (Taylor & Francis), Signal Processing (Elsevier), Numerical Functional Analysis and Optimization (Taylor & Francis), Taiwanese Journal of Mathematics.
His research areas are:
- Multiobjective Optimization
- Generalized Convexities
- Variational Inequalities
- Optimization on Manifolds
- Research Papers Publications 2024
- 1."First and second order necessary optimality conditions for multiobjective programming with interval-valued objective functions on Riemannian manifolds" (with Hilal Ahmad Bhat and Mahwash Aftab), RAIRO-Operation Research,(SCIE), (Impact Factor: 1.8).https://doi.org/10.1051/ro/2024157
2. “Second Order Optimality Conditions for Interval-Valued Optimization Problem” (with Sachin Rastogi), Asia-Pacific Journal of Operational Research, published by World Scientific, (2024) (SCIE), (Impact Factor: 1.109).
3. “Weighted variational inequalities on Hadamard manifolds” (with Nagendra Singh and Shahid Ali), Asian-European journal of Mathematics, (ESCI), (Impact Factor: 0.8) Vol. 17 (4), 2450024 (2024).
- Research Papers Publications 2023
Strongly geodesic preinvexity and Strongly Invariant ?-Monotonicity on Riemannian Manifolds and its Application"(with Askar Hussain and Hilal Ahmad Bhat), Accepted in RAIRO-Operations Research, Science Citation Index Expanded (SCIE) (2023), (Impact Factor: 1.393). DOI: https://doi.org/10.1051/ro/2023123
“Quantum symmetric analogue of various integral inequalities over finite intervals” (with Mohd Bilal and Sachin Rastogi), Journal of Mathematical Inequalities, published by Ele-Math, Vol. 17(2), 2023, 615-627. (SCIE),(Impact Factor:1.225).
“Nonsmooth vector variational inequalities on Hadamard manifold and their existence” (with Nagendra Singh and Shahid Ali), The Journal of Analysis, published by Springer, (2023), (ESCI), (Impact Factor:0.8) https://doi.org/10.1007/s41478-023-00591-6.3
“Bi-step method for variational inequalities on Riemannian manifold of non-negative constant curvature” (with Nagendra Singh and Shahid Ali), International Journal of Applied and Computational Mathematics, published by Springer, (2023) 9:25. Scopus DOI: 10.1007/s40819-023-01517-3.4
“Optimality Conditions for E-convex Interval-valued Programming Problem using $gH$-Symmetrical Derivative” (with Sachin Rastogi and Sanjeev Rajan), Asia-Pacific Journal of Operational Research, published by World Scientific, Vol. 40 (2) (2023) (SCIE),(Impact Factor:1.109).doi.org/10.1142/S0217595922500117
“Quasi Strongly E-Preinvexity and its Relationships with Non-linear Programming” (with Askar Hussain), Numerical Algebra, Control and Optimization, ESCI, Scopus, (2023), doi:10.3934/naco.2023010
- Research Papers Publications 2022
- “Corrected Dual-Simpson-Type Inequalities for Differentiable Generalized Convex Functions on Fractal Set” (with Abdelghani Lakhdari, Wedad Saleh and Badreddine Meftah), Fractals and Fractional, 2022, 6(12),710; SCIE, (Impact Factor: 3.577) https://doi.org/10.3390/fractalfract6120710.
- “Optimality conditions for multi-objective interval-valued E-convex functions with the use of gH-symmetrical differentiation” (with Sachin Rastogi and Sanjeev Rajan), International Journal of Nonlinear Analysis and Applications, 13 (2022) 2, 3261–3270, Emerging Sources Citation Index (ESCI). doi:10.22075/IJNAA.2022.24646.2788
- “Nonlinear programming problems for strongly E-invex sets and strongly E-preinvex functions” (with Askar Hussain), RAIRO-Operations Research, 56 (2022) 1397–1410, Science Citation Index Expanded (SCIE) (2022), (Impact Factor: 1.393). doi: 10.1051/ro/2022064
- “On slack 2-geodesic convex set and geodesic E-pseudoconvex function with application” (with P. Kumar and I. Ahmad), Turkish Journal of Mathematics, (2022) 46: 1508 – 1519, Science Citation Index Expanded (SCIE) (2022) (Impact Factor: 0.803). doi:10.3906/mat-2102-98
- Research Paper Publications 2021
Fritz John Optimality Conditions for Interval-Valued Multi-Objective Functions using gh-symmetrical Derivative (with Sachin Rastogi and Sanjeev Rajan) accepted in Asia-Pacific Journal of Operational Research, published by World Scientific. Science Citation Index Expanded (SCIE), (Impact Factor: 1.109)
- Quasi Strongly E-convex Functions with Applications (with Askar Hussain) accepted in Nonlinear Functional Analysis and Applications (Scopus).
- Geodesic E-pre-quasi-invex Function and its Applications to Non-linear Programming Problems(with P. Kumar) ,Numerical Algebra, Control and Optimization, ESCI, Scopus.doi: 10.3934/naco.2021040
- Research Paper Publications 2019
- “ Strong geodesic convex functions of order m " (with I. Ahmad), Numerical Functional Analysis and Optimization, 31 (12): 1342-1361, DOI:10.1080/01630563.2019.1651740, (2019), published by Taylor & Francis, (Impact Factor: 0.896). (SCIE)
- Research Paper Publications 2018
- Some results on \varphi --convex functions and geodesic \varphi -convex functions, (with AA Shaikh and CK Mondal), Differential Geometry-Dynamical Systems, Vol. 20, (2018), 160-170, published by Balkan Press.
- "A note on p^\lambda-convex set in a complete Riemannian manifold", (with AA Shaikh and CK Mondal), Bulletin of the Transilvania University of Brasov, Vol 11(60), No. 2: 119-124, (2018).
- Research Paper Publications 2016
- " On \phi-h-preinvex functions" Communications in Applied Analysis, Vol. 20 (2), 175-185, (2016).
- "Some integral inequalities for log-preinvex functions" (with V. Samhita) Springer book: Applied Analysis with Applications in Biological and Physical Sciences, Vol 186, 373-384, (2016).
- "A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography" (with Manish Kumar and Pranjal Kumar), Signal Processing, Vol 125, 187-202, (2016), published by Elsevier, (Impact Factor: 4.384).
- Research Paper Publications 2012
- “Generalized invex set and preinvex functions on Riemannian manifolds” (with R.P. Agarwal, I. Ahmad and S. Ali), Taiwanese Journal of Mathematics, Vol. 16 (5), 1719-1732, (2012), (Impact Factor: 0.633).
- “On geodesic E-convex sets, geodesic E-convex functions and E-epigraphs" (with I. Ahmad and S. Ali), Journal of Optimization Theory and Applications, Vol 155 (1), 239-251, (2012), published by Springer, (Impact Factor: 1.509).
- Research Paper Publications 2011
- “Geodesic G-invex set and semistrictly geodesic ?-preinvex Functions” (with R.P. Agarwal, I. Ahmad and S. Ali) Optimization, 1-6, (2011), published by Taylor & Francis, (Impact Factor: 0.936).?
- “Some properties of geodesic semi-E-convex functions” (with I. Ahmad and S. Ali), Nonlinear Analysis: Theory, Methods & Applications, Vol 74, 6805-6813, (2011), published by Elsevier, (Impact Factor: 1.327) .
- Research Paper Publications 2010
- “Strong geodesic \alpha-preinvexity and invariant \alpha-monotonicity on Riemannian manifolds” (with I. Ahmad and S. Ali), Numerical Functional Analysis and Optimization, 31(12):1342-1361, (2010), published by Taylor & Francis, (Impact Factor: 0.896).
- “On properties of geodesic ?-preinvex functions” (with I. Ahmad and S. Ali), Advances in Operations Research, Hindawi Publishing Corporation, Volume 2009 (2009), Article ID 381831, pages 10. (Scopus)
- Advanced Calculus (Calculus of Several Variables) UG-Level Course
- Geometry of Curves and Surfaces (UG-Level Course) By Dr. Akhlad Iqbal
- Three Dimensional Coordinate Geometry (UG-Level Course)
- Linear Algebra MMB-453 Video Lectures by Dr Akhlad Iqbal
- Optimization MMB-656 Video Lectures By Dr Akhlad Iqbal
- Optimization: Convex Functions and NLPPhttps://www.youtube.com/watch?v=VMI1tijFCRQ&feature=youtu.be
- Geometry of Curves and Surfaces Video Lectures By Prof. V.A. Khanhttps://www.youtube.com/feed/my_videos