본문 바로가기
KERD
논문KCI 등재

APPROXIMATION OF SOLUTIONS OF A GENERALIZED VARIATIONAL INEQUALITY PROBLEM BASED ON ITERATIVE METHODS

조선영
대한수학회 (The Korean Mathematical Society)|2010.04|대한수학회논문집 (Communications of the KMS)|제25권 제2호|pp. 207-214

4

조회

0

다운로드

0

인용

0

참고문헌

키워드

fixed pointsolutionvariational inequalitynonexpansive mapping
주제분류수학

초록

In this paper, a generalized variational inequality problem is considered. An iterative method is studied for approximating a solution of the generalized variational inequality problem. Strong convergence theorem are established in a real Hilbert space.

Abstract

In this paper, a generalized variational inequality problem is considered. An iterative method is studied for approximating a solution of the generalized variational inequality problem. Strong convergence theorem are established in a real Hilbert space.

참고문헌 (15)

  1. F. E. Browder, "Nonlinear operators and nonlinear equations of evolution in Banach spaces", Nonlinear functional analysis, pp.1~308 (1976), Amer. Math. Soc.
  2. Y. J. Cho, "On systems of generalized nonlinear variational inequalities in Banach spaces", Appl. Math. Comput., 206(1), pp.214~220 (2008)
  3. Y. J. Cho, "Systems of generalized nonlinear variational inequalities and its projection methods", Nonlinear Anal., 69(12), pp.4443~4451 (2008)
  4. Y. J. Cho, "Generalized systems for relaxed cocoercive variational inequalities and projection methods in Hilbert spaces", Math. Inequal. Appl., 12(2), pp.365~375 (2009)
  5. H. Iiduka, "Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings", Nonlinear Anal., 61(3), pp.341~350 (2005)
  6. H. Iiduka, "Approximation of solutions of variational inequalities for monotone mappings", Panamer. Math. J., 14(2), pp.49~61 (2004)
  7. M. A. Noor, "Some resolvent iterative methods for variational inclusions and nonexpansive mappings", Appl. Math. Comput., 194(1), pp.267~275 (2007)
  8. M. A. Noor, "Some developments in general variational inequalities", Appl. Math. Comput., 152(1), pp.199~277 (2004)
  9. X. Qin, "General Wiener-Hopf equation technique for nonexpansive mappings and general variational inequalities in Hilbert spaces", Appl. Math. Comput., 201(1) (2008)
  10. G. Stampacchia, "Formes bilin´eaires coercitives sur les ensembles convexes", C. R. Acad. Sci., 258, pp.4413~4416 (1964)
  11. T. Suzuki, "Strong convergence of Krasnoselskii and Mann’s type sequences for oneparameter nonexpansive semigroups without Bochner integrals", J. Math. Anal. Appl., 305(1), pp.227~239 (2005)
  12. W. Takahashi, "Weak convergence theorems for nonexpansive mappings and monotone mappings", J. Optim. Theory Appl., 118(2), pp.417~428 (2003)
  13. R. U. Verma, "Generalized system for relaxed cocoercive variational inequalities and projection methods", J. Optim. Theory Appl., 121(1), pp.203~210 (2004)
  14. R. U. Verma, "General convergence analysis for two-step projection methods and applications to variational problems", Appl. Math. Lett., 18(11), pp.1286~1292 (2005)
  15. H. K. Xu, "Iterative algorithms for nonlinear operators", J. London Math. Soc., 66(1), pp.240~256 (2002)

관련 논문AI추천

An iterative method for solving equilibrium problem fixed point problem and generalized variational inequalities problemJuchun Li, Lijuan Zhang영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호Existence and iterative approximations of solutions for strongly nonlinear variational-like inequalities강신민, Jinsong Li, Juhe Sun영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호An iteration schemes for nonexpansive mappings and variational inequalitiesHongjun Wang, Yisheng Song대한수학회 · 대한수학회보2011 · 제48권 제5호STRONG CONVERGENCE OF EXTENDED GENERAL VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGSJun-Min Chen, Li-Juan Zhang, Zhen He영남수학회 · East Asian Mathematical Journal2010 · 제26권 제1호On Solvability of Generalized Nonlinear Variational-like Inequalities강신민, Lili Zhang, Zeqing Liu대한수학회 · 대한수학회지2008 · 제45권 제1호Convergence theorems of iterative algorithms for a general system of ariational inequalities with applications강신민, 권영철, Xiaolong Qin강원경기수학회 · 한국수학논문집2010 · 제18권 제4호

이 간행물의 다른 논문 (17건)

ON A NONVANISHING OF PLURIGENUS OF A THREEFOLD OF GENERAL TYPE신동관pp. 161-165THE NUMBERS THAT CAN BE REPRESENTED BY A SPECIAL CUBIC POLYNOMIAL최정오, 박두성, 방승진pp. 167-171N-IDEALS OF SUBTRACTION ALGEBRAS소금숙, Jacob Kavikumar, 전영배pp. 173-184SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA’S TRIPLE HYPERGEOMETRIC SERIES HCArjun kumar Rathie, 최준상, 김용섭pp. 185-191THE DIFFERENCE ORLICZ SPACE OF ENTIRE SEQUENCE OF FUZZY NUMBERSAyhan Esi, Nagarajan Subramanianpp. 193-206
원문 보기