지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper, we consider a new class of regularized (nonconvex)generalized mixed variational inequality problems in real Hilbert space. We give the concepts of partially relaxed strongly mixed monotone and partially relaxed strongly Θ-pseudomonotone mappings, which are extension of the concepts given by Xia and Ding [19], Noor [13] and Kazmi et al. [9]. Further we use the auxiliary principle technique to suggest a two-step iterative algorithm for solving regularized (nonconvex)generalized mixed variational inequality problem. We prove that the convergence of the iterative algorithm requires only the continuity, partially relaxed strongly mixed monotonicity and partially relaxed strongly Θ-pseudomonotonicity. The theorems presented in this paper represent improvement and generalization of the previously known results for solving equilibrium problems and variational inequality problems involving the nonconvex (convex) sets, see for example Noor [13], Pang et al. [14],and Xia and Ding [19].
목차
등록된 정보가 없습니다.
참고문헌 (19)
참고문헌 신청
A. Moudafi / 2004 / An algorithmic approach to prox-regular variational inequalities / Appl. Math. Comput. 155 (3) : 845 ~ 852
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63 (1) : 123 ~ 145
F. Giannessi / 1995 / Variational Inequalities and Network Equilibrium Problems / Plenum Press
F. Giannessi / 2001 / Equilibrium Problems: Non-smooth Optimization and Variational Inequality Models / Kluwer Academic Publishers
F. H. Clarke / 1998 / Nonsmooth Analysis and Control Theory / Springer-Verlag
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63 (1) : 123 ~ 145
F. Giannessi / 1995 / Variational Inequalities and Network Equilibrium Problems / Plenum Press
F. Giannessi / 2001 / Equilibrium Problems: Non-smooth Optimization and Variational Inequality Models / Kluwer Academic Publishers
F. H. Clarke / 1998 / Nonsmooth Analysis and Control Theory / Springer-Verlag
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
System of generalized nonlinear regularized nonconvex variational inequalities
한국수학논문집
2016 .01
-
REGULARIZED MIXED QUASI EQUILIBRIUM PROBLEMS
Journal of applied mathematics & computing
2007 .01
-
SYSTEM OF MIXED VARIATIONAL INEQUALITIES IN REFLEXIVE BANACH SPACES
Journal of applied mathematics & informatics
2009 .01
-
Regularized equilibrium problems in Banach spaces
한국수학논문집
2016 .01
-
Existence and algorithm of solutions for generalized mixed quasi-variational-like inequalities
대한수학회논문집
2005 .01
-
General nonconvex split variational inequality problems
한국수학논문집
2017 .01
-
Existence and iterative approximations of solutions for strongly nonlinear variational-like inequalities
East Asian Mathematical Journal
2011 .01
-
GENERALIZED STRONGLY NONLINEAR QUASI-VARIATIONAL INEQUALITIES
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
1999 .01
-
A NEW PREDICTOR-CORRECTOR METHOD FOR NONCOERCIVE MIXED VARIATIONAL INEQUALITIES
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
2000 .01
-
Convergence of an iterative algorithm for systems of generalized variational inequalities
한국수학논문집
2013 .01
-
On Solvability of Generalized Nonlinear Variational-like Inequalities
대한수학회지
2008 .01
-
APPROXIMATION OF SOLUTIONS OF A GENERALIZED VARIATIONAL INEQUALITY PROBLEM BASED ON ITERATIVE METHODS
대한수학회논문집
2010 .01
-
STRONG CONVERGENCE OF EXTENDED GENERAL VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGS
East Asian Mathematical Journal
2010 .01
-
CONVERGENCE ANALYSIS OF PARALLEL S-ITERATION PROCESS FOR A SYSTEM OF VARIATIONAL INEQUALITIES USING ALTERING POINTS
Journal of applied mathematics & informatics
2018 .01
-
An iterative method for solving equilibrium problem fixed point problem and generalized variational inequalities problem
East Asian Mathematical Journal
2011 .01
-
AN ITERATIVE METHOD FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS
Journal of applied mathematics & informatics
2009 .01
-
CONVERGENCE AND STABILITY OF THREE-STEP ITERATIVE SCHEME WITH ERRORS FOR COMPLETELY GENERALIZED STRONGLY NONLINEAR QUASIVARIATIONAL INEQUALITIES
Journal of applied mathematics & computing
2006 .01
-
MIXED QUASI VARIATIONAL INEQUALITIES INVOLVING FOUR NONLINEAR OPERATORS
호남수학학술지
2020 .01
-
On solvability and Algorithm of General Strongly Nonlinear Variational-like Inequalities
대한수학회보
2006 .01
-
System of Generalized Nonlinear Mixed Variational Inclusions Involving Relaxed Cocoercive Mappings in Hilbert Spaces
East Asian Mathematical Journal
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0