MONIRUL ISLAM

@amu.ac.in

ASSISTANT PROFESSOR/DEPARTMENT OF MATHEMATICS
Aligarh Muslim University

MONIRUL ISLAM


                     Download Compact PDF  
https://researchid.co/monirul.amu

RESEARCH INTERESTS

Generalized Convexity, Fixed Point, Optimization and Equilibrium Problems on Riemannian/Hadamard Manifolds
12

Scopus Publications

123

Scholar Citations

5

Scholar h-index

3

Scholar i10-index

Scopus Publications

  • Inertial subgradient splitting projection methods for solving equilibrium problems and applications
    Md Hifzur Rahaman, Monirul Islam, Syed Shakaib Irfan, Jen-Chih Yao, Xiaopeng Zhao
    Numerical Algorithms, 2025
  • H(·,·)-η-ξ-COCOERCIVE OPERATOR WITH AN APPLICATION FOR SOLVING A MIXED VARIATIONAL INCLUSION PROBLEM INVOLVING GENERALIZED CAYLEY OPERATOR IN UNIFORMLY SMOOTH BANACH SPACE
    Journal of Nonlinear and Convex Analysis, 2023
  • INERTIAL-TYPE THREE STEP RESOLVENT SCHEME FOR SOLVING CAYLEY INCLUSION PROBLEM
    Journal of Nonlinear and Convex Analysis, 2023
  • System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q-Uniformly Smooth Banach Spaces
    Javid Iqbal, Arvind Kumar Rajpoot, Monirul Islam, Rais Ahmad, Yuanheng Wang
    Mathematics, 2022
    In this paper, we consider and study a system of generalized variational inclusions involving Cayley operators and an XOR-operation in q-uniformly smooth Banach spaces. To obtain the solution of the system of generalized variational inclusions involving Cayley operators and an XOR-operation, we use some properties of Cayley operators as well as an XOR-operation. We also discuss the convergence criterion. In support of our main result, we provide an example.
  • MAXIMAL ELEMENT THEOREM WITH APPLICATIONS TO GENERALIZED ABSTRACT ECONOMIES AND SYSTEM OF QUASI-EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS
    Journal of Nonlinear and Convex Analysis, 2022
  • Generalized implicit vector equilibrium problem
    Communications on Applied Nonlinear Analysis, 2021
  • Some aspects of nonsmooth variational inequalities on Hadamard manifolds
    Monirul Islam, Syed Shakaib Irfan
    Journal of Inequalities and Applications, 2021
    This is the first paper dealing with the study of minimum and maximum principle sufficiency properties for nonsmooth variational inequalities by using gap functions in the setting of Hadamard manifolds. We also provide some characterizations of these two sufficiency properties. We conclude the paper with a discussion of the error bounds for nonsmooth variational inequalities in the setting of Hadamard manifolds.
  • Existence results and two step proximal point algorithm for equilibrium problems on hadamard manifolds
    SULIMAN AL-HOMIDAN, , QAMRUL HASAN ANSARI, MONIRUL ISLAM, , , and
    Carpathian Journal of Mathematics, 2021
    "In this paper, we study the existence of solutions of equilibrium problems in the setting of Hadamard manifolds under the pseudomonotonicity and geodesic upper sign continuity of the equilibrium bifunction and under different kinds of coercivity conditions. We also study the existence of solutions of the equilibrium problems under properly quasimonotonicity of the equilibrium bifunction. We propose a two-step proximal point algorithm for solving equilibrium problems in the setting of Hadamard manifolds. The convergence of the proposed algorithm is studied under the strong pseudomonotonicity and Lipschitz-type condition. The results of this paper either extend or generalize several known results in the literature."
  • Nonsmooth variational inequalities on Hadamard manifolds
    Qamrul Hasan Ansari, Monirul Islam, Jen-Chih Yao
    Applicable Analysis, 2020
    Nonsmooth variational inequality problem (NVIP) and Minty nonsmooth variational inequality problem (MNVIP) in terms of a bifunction are considered in the setting of Hadamard manifolds. We first establish a Browder type fixed point theorem in the setting of Hadamard spaces, and then by using it we prove some existence results for solutions of NVIP and MNVIP. We give some relations among NVIP, MNVIP and nonsmooth optimization problem. The gap functions for NVIP and MNVIP are also studied in the setting of Hadamard manifolds.
  • Explicit iterative algorithms for solving equilibrium problems on hadamard manifolds
    Journal of Nonlinear and Convex Analysis, 2020
  • Browder type fixed point theorem on Hadamard manifolds with applications
    Journal of Nonlinear and Convex Analysis, 2019
  • Nonsmooth convexity and monotonicity in terms of a bifunction on Riemannian manifolds
    Journal of Nonlinear and Convex Analysis, 2017

RECENT SCHOLAR PUBLICATIONS

  • Inertial subgradient splitting projection methods for solving equilibrium problems and applications
    MH Rahaman, M Islam, SS Irfan, JC Yao, X Zhao
    Numerical Algorithms, 1-35 , 2025
    2025
    Citations: 1
  • H (?, ?)- b- i-COCOERCIVE OPERATOR WITH AN APPLICATION FOR SOLVING A MIXED VARIATIONAL INCLUSION PROBLEM INVOLVING GENERALIZED …
    R Ahmad, AK Rajpoot, M Islam, MM Wong
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS , 2023
    2023
  • H (center dot, center dot)-eta-xi-COCOERCIVE OPERATOR WITH AN APPLICATION FOR SOLVING A MIXED VARIATIONAL INCLUSION PROBLEM INVOLVING GENERALIZED CAYLEY OPERATOR IN UNIFORMLY …
    R Ahmad, AK Rajpoot, M Islam, MM Wong
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 24 (4), 787-800 , 2023
    2023
  • INERTIAL-TYPE THREE STEP RESOLVENT SCHEME FOR SOLVING CAYLEY INCLUSION PROBLEM
    AK Rajpoot, M Islam, J Iqbal, Y Wang, R Ahmad
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 24 (5), 925-940 , 2023
    2023
  • Maximal element theorem with applications to generalized abstract economies and system of quasi-equilibrium problems on Hadamard manifolds
    S Al-Homidan, M Islam, Zeeshan Mohd.
    Journal of Nonlinear and Convex Analysis 23 (11), 2565-2576 , 2022
    2022
  • System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q-Uniformly Smooth Banach Spaces
    J Iqbal, AK Rajpoot, M Islam, R Ahmad, Y Wang
    Mathematics 10 (16), 1-13 , 2022
    2022
    Citations: 10
  • Some aspects of nonsmooth variational inequalities on Hadamard manifolds
    M Islam, SS Irfan
    Journal of Inequalities and Applications 2021 (1), 198 , 2021
    2021
  • Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds
    S Al-Homidan, QH Ansari, M Islam
    CARPATHIAN J. MATH 37 (3), 393-406 , 2021
    2021
    Citations: 6
  • Nonsmooth variational inequalities on Hadamard manifolds (vol 589, pg 1124, 2019)
    QH Ansari, M Islam, JC Yao
    APPLICABLE ANALYSIS 99 (2), 359-360 , 2020
    2020
    Citations: 1
  • Nonsmooth variational inequalities on Hadamard manifolds
    QH Ansari, M Islam, JC Yao
    Applicable Analysis 99 (2), 340-358 , 2020
    2020
    Citations: 81
  • Explicit iterative algorithms for solving equilibrium problems on Hadamard manifolds
    QH Ansari, M Islam
    Journal of Nonlinear and Convex Analysis 21 (2), 425-439 , 2020
    2020
    Citations: 8
  • Browder type fixed point theorem on Hadamard manifolds with applications
    S Al-Homidan, QH Ansari, M Islam
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 20 (11), 2397-2409 , 2019
    2019
    Citations: 3
  • Nonsmooth convexity and monotonicity in terms of a bifunction on Riemannian manifolds
    QH Ansari, M Islam, JC Yao
    Journal of nonlinear and convex analysis 18 (4), 743-762 , 2017
    2017
    Citations: 13

MOST CITED SCHOLAR PUBLICATIONS

  • Nonsmooth variational inequalities on Hadamard manifolds
    QH Ansari, M Islam, JC Yao
    Applicable Analysis 99 (2), 340-358 , 2020
    2020
    Citations: 81
  • Nonsmooth convexity and monotonicity in terms of a bifunction on Riemannian manifolds
    QH Ansari, M Islam, JC Yao
    Journal of nonlinear and convex analysis 18 (4), 743-762 , 2017
    2017
    Citations: 13
  • System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q-Uniformly Smooth Banach Spaces
    J Iqbal, AK Rajpoot, M Islam, R Ahmad, Y Wang
    Mathematics 10 (16), 1-13 , 2022
    2022
    Citations: 10
  • Explicit iterative algorithms for solving equilibrium problems on Hadamard manifolds
    QH Ansari, M Islam
    Journal of Nonlinear and Convex Analysis 21 (2), 425-439 , 2020
    2020
    Citations: 8
  • Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds
    S Al-Homidan, QH Ansari, M Islam
    CARPATHIAN J. MATH 37 (3), 393-406 , 2021
    2021
    Citations: 6
  • Browder type fixed point theorem on Hadamard manifolds with applications
    S Al-Homidan, QH Ansari, M Islam
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 20 (11), 2397-2409 , 2019
    2019
    Citations: 3
  • Inertial subgradient splitting projection methods for solving equilibrium problems and applications
    MH Rahaman, M Islam, SS Irfan, JC Yao, X Zhao
    Numerical Algorithms, 1-35 , 2025
    2025
    Citations: 1
  • Nonsmooth variational inequalities on Hadamard manifolds (vol 589, pg 1124, 2019)
    QH Ansari, M Islam, JC Yao
    APPLICABLE ANALYSIS 99 (2), 359-360 , 2020
    2020
    Citations: 1
  • H (?, ?)- b- i-COCOERCIVE OPERATOR WITH AN APPLICATION FOR SOLVING A MIXED VARIATIONAL INCLUSION PROBLEM INVOLVING GENERALIZED …
    R Ahmad, AK Rajpoot, M Islam, MM Wong
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS , 2023
    2023
  • H (center dot, center dot)-eta-xi-COCOERCIVE OPERATOR WITH AN APPLICATION FOR SOLVING A MIXED VARIATIONAL INCLUSION PROBLEM INVOLVING GENERALIZED CAYLEY OPERATOR IN UNIFORMLY …
    R Ahmad, AK Rajpoot, M Islam, MM Wong
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 24 (4), 787-800 , 2023
    2023
  • INERTIAL-TYPE THREE STEP RESOLVENT SCHEME FOR SOLVING CAYLEY INCLUSION PROBLEM
    AK Rajpoot, M Islam, J Iqbal, Y Wang, R Ahmad
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 24 (5), 925-940 , 2023
    2023
  • Maximal element theorem with applications to generalized abstract economies and system of quasi-equilibrium problems on Hadamard manifolds
    S Al-Homidan, M Islam, Zeeshan Mohd.
    Journal of Nonlinear and Convex Analysis 23 (11), 2565-2576 , 2022
    2022
  • Some aspects of nonsmooth variational inequalities on Hadamard manifolds
    M Islam, SS Irfan
    Journal of Inequalities and Applications 2021 (1), 198 , 2021
    2021