Papers by Salahuddin salahuddin
International Journal of Analysis and Applications, Nov 27, 2023
The aim of this paper is to consider a general non-stationary optimization problem whose objectiv... more The aim of this paper is to consider a general non-stationary optimization problem whose objective function need not be smooth in general and only approximation sequences are known instead of exact values of the functions. We apply a two-step technique where approximate solutions of a sequence of a generalized mixed variational inequality problem (GMVIP) are inserted in the iterative method of a selective coordinate-wise decomposition descent method. Its convergence is achieved under coercivity-type assumptions.
Based on the definition of double fuzzy relations, two types of new rough set models are construc... more Based on the definition of double fuzzy relations, two types of new rough set models are constructed, which are multi-granulation double fuzzy rough sets called optimistic and pessimistic multi-granulation double fuzzy rough sets, and some of their properties were studied. In addition, we study the relationship between optimistic and pessimistic multi-granulation double fuzzy rough sets and double fuzzy rough sets.
The Korean Journal of Mathematics, 2018
In this paper, we prove the existence results of the solutions for {\it vector variational inequa... more In this paper, we prove the existence results of the solutions for {\it vector variational inequality problems} by using the $\|\cdot\|$-sequentially continuous mapping.
The Korean Journal of Mathematics, 2017
In this paper, we deal a resolvent operator technique is applied to address a system of generaliz... more In this paper, we deal a resolvent operator technique is applied to address a system of generalized nonlinear ordered variational inclusions in real ordered Banach spaces and derived an algorithm for a solution of the considered system. Here, we prove an existence result for the solution of the system of generalized nonlinear ordered variational inclusions and discuss convergence of sequences suggested by the algorithms.
The Korean Journal of Mathematics, 2017
In this research works, we consider the general regularized penalty method for non-stationary set... more In this research works, we consider the general regularized penalty method for non-stationary set valued equilibrium problem in a Banach space. We define weak coercivity conditions and show that the weak and strong convergence problems of the regularized penalty method.
Abstract and Applied Analysis, 2013
We introduce and study a new system of generalizedH·,·-η-cocoercive operator inclusions in Banach... more We introduce and study a new system of generalizedH·,·-η-cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated withH·,·-η-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establish strong convergence of iterative sequences produced by the method. We highlight the applicability of our results by examples in function spaces.
Korean Journal of Mathematics, 2016
In this works, we consider a class of regularized equilibrium problems in Banach spaces. By using... more In this works, we consider a class of regularized equilibrium problems in Banach spaces. By using the auxiliary principle techniques to suggest some iterative schemes for regularized equilibrium problems and proved the convergence of these iterative methods required either pseudoaccretivity or partially relaxed strongly accretivity.
This paper discusses the mixed evolutionary variational-hemivariational inequality problem, which... more This paper discusses the mixed evolutionary variational-hemivariational inequality problem, which incorporates a set of constraints and history-dependent operators. We utilized a mixed equilibrium formulation with appropriate functions and a fixed-point principle for history-dependent operators to prove the existence and uniqueness of solutions. As an application to demonstrate the peculiar weak solution for a viscoelastic frictional contact problem that involves the unilateral signorini type condition for the normal velocity together with non-monotone normal damped response conditions and the Coulomb law of dry friction that friction bounds depend on the amount of accumulated slip.
In the context of rapid scientifc and technological advancements, engineering is increasingly bec... more In the context of rapid scientifc and technological advancements, engineering is increasingly becoming a vital career choice. However, students from rural areas often encounter signifcant challenges in their engineering studies and extracurricular activities, leading to higher dropout rates compared to their urban counterparts. To address this issue, we have developed a mathematical model that utilises fuzzy numbers and Newton's method to strategically prioritize core engineering activities. Tis model is designed to account for the unpredictability of student performance and aims to bridge the educational gap between urban and rural students. By focusing on essential activities, our approach seeks to enhance academic outcomes and increase success rates for engineering students across diverse educational settings. Tis innovative method provides a novel solution to the persistent educational disparities, ofering a pathway to more equitable and efective engineering education for all students.
Article, 2024
In this study, we introduce novel types of m-quasi-ideals and m-bi-ideals in the context of b-sem... more In this study, we introduce novel types of m-quasi-ideals and m-bi-ideals in the context of b-semirings, expanding the scope of algebraic structures in this field. We provide detailed characterizations of these ideals, focusing on their distinct properties and interactions within b-semirings. Utilizing an algebraic approach, we elucidate the fundamental properties of m-bi-ideals, examining their behavior and structural role. Additionally, we explore the generators of m-bi-ideals and offer characterizations based on their relationship with bi-ideals. Our findings contribute to a deeper understanding of m-ideals and m-bi-ideals, opening new avenues for further research in algebraic theory and the study of semirings.
Nonlinear functional analysis and applications, 2015
This paper is concerned with the existence of random solutions for the deter- ministic generalize... more This paper is concerned with the existence of random solutions for the deter- ministic generalized vector equilibrium problems. As applications, we also discussed the random generalized vector optimization problems, random generalized variational inequality problems, random generalized vector best approximation problems and random fixed point problems.
The purpose of this paper, by using the resolvent operator technique associated with randomly (A,... more The purpose of this paper, by using the resolvent operator technique associated with randomly (A, $\eta$, m)‐monotone operator, is to establish an existence and convergence the‐ orem for a class of system of random nonlinear equations with fuzzy mappings in Hilbert spaces. Our works are improvements and generalizations of the corresponding well‐known results.
Nonlinear functional analysis and applications, 2020
In this works, we consider a system of variational inequality, which can be regarded as an extens... more In this works, we consider a system of variational inequality, which can be regarded as an extension of a primal-dual variational inequality system and involves multivalued mappings. The system does not possess monotonicity properties and the feasible set is unbounded in general. To solve the problem, we propose a completely implementable iterative scheme, whose convergence is proved under certain coercivity type conditions.
Mathematics, 2020
In this paper, our goal was to establish the relationship between solutions of local sharp vector... more In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, under generalized approximate η-convexity conditions for locally Lipschitzian functions.
Nonlinear Functional Analysis and Applications, 2024
The objective of this article is to study the general set-valued nonlinear variational-hemivariat... more The objective of this article is to study the general set-valued nonlinear variational-hemivariational inequalities and investigate the gap function, regularized gap function and Moreau-Yosida type regularized gap functions for the general set-valued nonlinear variational-
hemivariational inequalities, and also discuss the error bounds for such inequalities using the characteristic of the Clarke generalized gradient, locally Lipschitz continuity, inverse strong monotonicity and Hausdor Lipschitz continuous mappings.
The objective of this article is to study the general set-valued nonlinear variationalhemivariati... more The objective of this article is to study the general set-valued nonlinear variationalhemivariational inequalities and investigate the gap function, regularized gap function and Moreau-Yosida type regularized gap functions for the general set-valued nonlinear variationalhemivariational inequalities, and also discuss the error bounds for such inequalities using the characteristic of the Clarke generalized gradient, locally Lipschitz continuity, inverse strong monotonicity and Hausdorff Lipschitz continuous mappings.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
Application of the Raspberry Pi in smart sink based the internet of things (IoT)
Nucleation and Atmospheric Aerosols, 2023
Perspektif Sosiologi Hukum Islam terhadap Tradisi Wi’i Nggahi pada Pernikahan Suku Donggo Desa Rora Kecamatan Donggo Kabupaten Bima
Indonesia Berdaya, Jan 4, 2023
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Papers by Salahuddin salahuddin
hemivariational inequalities, and also discuss the error bounds for such inequalities using the characteristic of the Clarke generalized gradient, locally Lipschitz continuity, inverse strong monotonicity and Hausdor Lipschitz continuous mappings.
hemivariational inequalities, and also discuss the error bounds for such inequalities using the characteristic of the Clarke generalized gradient, locally Lipschitz continuity, inverse strong monotonicity and Hausdor Lipschitz continuous mappings.