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Solvability for a system of generalized nonlinear ordered variational inclusions in ordered Banach spaces

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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.

Abstract

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.

참고문헌 (35)

  1. R. Ahmad, "Mann and Ishikawa type perturbed iter-ative algorithm for generalized nonlinear variational inclusions", Math. Comput. Appl, 6(1), pp.47~52 (2001)
  2. M. K. Ahmad, "Resolvent equation technique for generalized non-linear variational inclusions", Adv. Nonlinear Var. Inequal, 5(1), pp.91~98 (2002)
  3. M. K. Ahmad, "Perturbed three step approximation process with errors for a general implicit nonlinear variational inequalities", Int. J. Math. Math. Sci, pp.1~14 (2006)
  4. X. P. Ding, "The p-step iterative algorithm for a system of gen-eralized mixed quasi variational inclusions with (A; )-accretive operators in q-uniformly smooth Banach spaces", J. Comput. Appl. Math, 220, pp.163~174 (2008)
  5. Wentang Wu, "Numerical investigation of turbulent channel flow controlled by spatially oscillating spanwise Lorentz force", Applied Mathematics and Mechanics, 36(9), pp.1113~1120 (2015), Springer Nature[DOI]
  6. Y. P, Du, "Fixed points of increasing operators in ordered Banach spaces and applications", Appl. Anal, 38, pp.1~20 (1990)
  7. Y. P. Fang, "H-accretive operator and resolvent operator technique for variational inclusions in Banach spaces", Appl. Math. Lett., 17(6), pp.647~653 (2004)
  8. Approximate solutions for non-linear variational inclusions with (H; η)-monotone operator, "Y. P. Fang", Sichuan University, ~ (2003)
  9. Y. P. Fang, "Iterative algorithm for a system of nonlinear varia-tional inclusions involving H-accretive operators in Banach spaces", Acta Math. Hungar, 108(3), pp.183~195 (2005)
  10. Y. P. Fang, "A new system of variational inclusions with (H; η)-monotone operators in Hilbert spaces", Comput. Math. Appl, 49, pp.365~374 (2005)
  11. N. J. Huang, "Generalized m-accretive mappings in Banach spaces", J. Sichuan Univ, 38(4), pp.591~592 (2001)
  12. S. Hussain, "Mann and Ishikawa type perturbed iterative algorithms for completely generalized nonlinear variational Inclusions", Int. J. Math. Anal, 3(1), pp.51~62 (2006)
  13. M. F. Khan, "Mixed multivalued variational inclusions involving H-accretive operators", Adv. Nonlinear Var. Inequal, 9(2), pp.29~47 (2006)
  14. M. F. Khan, "Generalized co-complementarity problems in p-uniformly smooth Banach spaces", JIPAM, J. Inequal. Pure Appl. Math, 7(2), pp.1~11 (2006)
  15. M. F. Khan, "Generalized multivalued nonlinear co-variational inequalities in Banach spaces", Funct. Di . Equat, 14(2-3-4), pp.299~313 (2007)
  16. S. H. Kim, "Fuzzy variational inclusions with (H, φ, ψ )-η-monotone mappings in Banach Spaces", J. Adv. Research Appl. Math, 4(1), pp.10~22 (2012)
  17. Salahuddin, "FUZZY GENERAL NONLINEAR ORDERED RANDOM VARIATIONAL INEQUALITIES IN ORDERED BANACH SPACES", East Asian Mathematical Journal, 32(5), pp.685~700 (2016), 영남수학회[DOI]
  18. B. S. Lee, "Generalized nonlinear quasi variational inclusions in Banach spaces", Comput. Math. Appl, 56(5), pp.1414~1422 (2008)
  19. Byung-Soo Lee, "Hybrid-type set--valued variational--like inequalities in reflexive Banach spaces", Journal of Applied Mathematics and Informatics, 27(5), pp.1371~1379 (2009), 한국전산응용수학회
  20. H. G. Li, "GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space", J. Inequal. Appl, 2013, pp.514~ (2013)
  21. H. G. Li, "Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with (α,λ)-nodsm mappings in ordered Banach spaces", Fixed Point Theory Appl., 2014, pp.122~ (2014)
  22. H. G. Li, "Solving GNOVI frameworks involving (γg, λ)-weak-GRD set-valued mappings in positive Hilbert spaces", Fixed Point Theory Appl, 2014, pp.146~ (2014)
  23. Hong Li, "Characterizations of weak-ANODD set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach spaces", Fixed Point Theory and Applications, 2013(1), pp.241~ (2013), Springer Nature[DOI]
  24. H. G. Li, "A class of nonlinear mixed ordered inclusion problems for oredered (αa, λ)-ANODM set-valued mapping with strong compar-ison mapping", Fixed Point Theory Appl, 2014, pp.79~ (2014)
  25. H. G. Li, "A nonlinear inclusion problem involving (α, λ)-NODM set-valued map-pings in ordered Hilbert space", Appl. Math. Lett, 25, pp.1384~1388 (2012)
  26. H. G. Li, "Approximation solution for general nonlinear ordered variational in-equalities and ordered equations in ordered Banach space", Nonlinear Anal. Forum, 13(2), pp.205~214 (2008)
  27. J. W. Peng, "A system of variational inclusions with p-η-accretive operators", J. Comput. Appl. Math, 216, pp.198~209 (2008)
  28. H. H. Schaefer, "Banach Lattices and Positive Operators" (1994), Springer
  29. Salahuddin, "Regularized equilibrium problems in Banach spaces", 한국수학논문집, 24(1), pp.51~63 (2016), 강원경기수학회[DOI]
  30. A. H. Siddiqi, "Existence results for generalized nonlinear variational inclusions", Appl. Math. Lett, 18(8), pp.859~864 (2005)
  31. Y. K. Tang, "A system of nonlinear set valued variational inclusions", SpringerPlus, 3, pp.318~ (2014)[DOI]
  32. R. U. Verma, "Projection methods, algorithms and a new system of nonlinear variational inequalities", Comput. Math. Appl, 41(7-8), pp.1025~1031 (2001)
  33. R. U. Verma, "Fuzzy generalized complementarity problems in Banach spaces", PanAmer. Math. J, 17(4), pp.71~80 (2007)
  34. R. U. Verma, "Extended systems of nonlinear vector quasi vari-ational inclusions and extended systems of nonlinear vector quasi optimization problems in locally FC-spaces", Commun. Appl. Nonlinear Anal, 23(1), pp.71~88 (2016)
  35. F. Q. Xia, "Variational inclusions with a general H-monotone operator in Banach spaces", Comput. Math. Appl, 54, pp.24~30 (2007)

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