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Salahuddin 강원경기수학회 2017 한국수학논문집 Vol.25 No.3
In this paper, we consider a system of generalized nonlinear ordered variational inclusions in real ordered Banach spaces and define an iterative algorithm for a solution of our problems. By using the resolvent operator techniques to 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.
FUZZY GENERAL NONLINEAR ORDERED RANDOM VARIATIONAL INEQUALITIES IN ORDERED BANACH SPACES
Salahuddin,이병수 영남수학회 2016 East Asian mathematical journal Vol.32 No.5
The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings α, α' : Ω → (0, 1), an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value x0(t) and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.
Some definite integrals associated with hypergeometric functions -
Salahuddin,M. P. Chaudhary 호남수학회 2023 호남수학학술지 Vol.45 No.4
The main object of this paper is to establish twenty definite integrals involving Struve functions and modified Srtuve functions associated with hypergeometric functions, which are presumably new and not present in the scientific literature.
Sensitivity Analysis for Completely Generalized Nonlinear Variational Inclusions
Salahuddin,Firdosh Khan 영남수학회 2009 East Asian mathematical journal Vol.25 No.1
In this paper, by using the technique of the resolvent operators, we study the behaviour and sensitivity analysis of the solutions set for a class of parametric completely generalized nonlinear variational inclusions with set-valued mappings.
Regularized penalty method for non-stationary set valued equilibrium problems in Banach spaces
Salahuddin 강원경기수학회 2017 한국수학논문집 Vol.25 No.2
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.
SYSTEM OF GENERALIZED NONLINEAR REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES
Salahuddin, Salahuddin The Kangwon-Kyungki Mathematical Society 2016 한국수학논문집 Vol.24 No.2
In this work, we suggest a new system of generalized nonlinear regularized nonconvex variational inequalities in a real Hilbert space and establish an equivalence relation between this system and fixed point problems. By using the equivalence relation we suggest a new perturbed projection iterative algorithms with mixed errors for finding a solution set of system of generalized nonlinear regularized nonconvex variational inequalities.
SOLUTIONS OF VECTOR VARIATIONAL INEQUALITY PROBLEMS
Salahuddin, Salahuddin The Kangwon-Kyungki Mathematical Society 2018 한국수학논문집 Vol.26 No.2
In this paper, we prove the existence results of the solutions for vector variational inequality problems by using the ${\parallel}{\cdot}{\parallel}$-sequentially continuous mapping.
FUZZY GENERAL NONLINEAR ORDERED RANDOM VARIATIONAL INEQUALITIES IN ORDERED BANACH SPACES
Salahuddin, Salahuddin,Lee, Byung-Soo The Youngnam Mathematical Society 2016 East Asian mathematical journal Vol.32 No.5
The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings ${\alpha},{\alpha}^{\prime}:{\Omega}{\rightarrow}(0,1)$, an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value $x_0(t)$ and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.
Approximation Solvability for a System of Nonlinear Variational Type Inclusions in Banach Spaces
Salahuddin, Salahuddin Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.1
In this paper, we consider a system of nonlinear variational type inclusions involving ($H,{\varphi},{\eta}$)-monotone operators in real Banach spaces. Further, we define a proximal operator associated with an ($H,{\varphi},{\eta}$)-monotone operator and show that it is single valued and Lipschitz continuous. Using proximal point operator techniques, we prove the existence and uniqueness of a solution and suggest an iterative algorithm for the system of nonlinear variational type inclusions. Furthermore, we discuss the convergence of the iterative sequences generated by the algorithms.
SENSITIVITY ANALYSIS FOR COMPLETELY GENERALIZED NONLINEAR VARIATIONAL INCLUSIONS
Salahuddin, Salahuddin,Khan, M.Firdosh The Youngnam Mathematical Society 2009 East Asian mathematical journal Vol.25 No.1
In this paper, by using the technique of the resolvent operators, we study the behaviour and sensitivity analysis of the solutions set for a class of parametric completely generalized nonlinear variational inclusions with set-valued mappings.