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Fuzzy Nonlinear Random Variational Inclusion Problems Involving Ordered RME Multivalued Mapping in Banach Spaces

김종규|Salahuddin
영남수학회 (Youngnam Mathematical Society)|2018.01|East Asian Mathematical Journal|제34권 제1호|pp. 47-58|DOI http://dx.doi.org/10.7858/eamj.2018.006

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참고문헌

키워드

fuzzy mappings.ordered RME multivalued mappingsordered Banach spacesrandom accretive mappingsrandom iterative algorithmrandom compression mapping
주제분류수학

초록

In this paper, we consider a fuzzy nonlinear random varia- tional inclusion problems involving ordered RME-multivalued mapping in ordered Banach spaces. By using the random relaxed resolvent opera- tor and its properties, we suggest an random iterative algorithm. Finally both the existence of the random solution of the original problem and the convergence of the random iterative sequences generated by random algorithm are proved.

Abstract

In this paper, we consider a fuzzy nonlinear random varia- tional inclusion problems involving ordered RME-multivalued mapping in ordered Banach spaces. By using the random relaxed resolvent opera- tor and its properties, we suggest an random iterative algorithm. Finally both the existence of the random solution of the original problem and the convergence of the random iterative sequences generated by random algorithm are proved.

참고문헌 (29)

  1. Salahuddin, "Random variational like inequalities", Adv. Nonlinear Var. Inequal., 11(2), pp.15~24 (2008)
  2. M. K. Ahmad, "On generalized multivalued random variational like inclusions", Appl. Math., 2(8), pp.1011~1018 (2011)[DOI]
  3. M. K. Ahmad, "Collectively random xed point theorem and applications", Pan. Amer. Math. J., 20(3), pp.69~84 (2010)
  4. M. K. Ahmad, "A fuzzy extension of generalized implicit vector variational like inequalities", Positivity, 11(3), pp.477~484 (2007)[DOI]
  5. R. P. Agarwal, "On generalized multivalued nonlinear variational like inclusions with fuzzy mappings", Adv. Nonlinear Var. Inequal., 8, pp.41~55 (2005)
  6. R. P. Agarwal, "Completely generalized nonlinear variational inclusions with fuzzy set valued mappings", J. Concrete Appl. Math., 4(2), pp.215~228 (2006)
  7. H. Amann, "On the number of solutions of nonlinear equations in ordered Banach space", J. Funct. Anal., 11, pp.346~384 (1972)[DOI]
  8. G. A. Anastassiou, "Fuzzified random generalized nonlinear variational inequalities", J. Concreate Appl. Math., 10(3-4), pp.186~206 (2012)
  9. S. S. Chang, "Fixed point theory with applications" (1984), Chongqing Publishing House
  10. S. S. Chang, "On Variational Inequalities for fuzzy mappings", Fuzzy Sets Systems, 32(3), pp.359~367 (1989)[DOI]
  11. S. S. Chang, "Generalized random multivalued quasi complementarity problems", Indian J. Math., 33, pp.305~320 (1993)
  12. S. S. Chang, "Existence of vector quasi variational like inequalities for fuzzy mappings", Fuzzy Sets Systems, 233, pp.89~95 (2013)[DOI]
  13. H. H. Schaefer, "Banach lattices and positive operators" (1974), Springer
  14. Y. J. Cho, "Random generalized set valued strongly nonlinear implicit quasi variational inequalities", J. Inequal. Appl., 5, pp.515~531 (2000)
  15. X. P. Ding, "A new class of generalized nonlinear implicit quasi variational inclusions with fuzzy mappings", J. Comput. Appl. Math., 138, pp.243~257 (2002)[DOI]
  16. Y. H. Du, "Fixed points of incresing operators in ordered Banach spaces and applications", Appl. Anal., 38, pp.1~20 (1990)[DOI]
  17. D. J. Ge, "Fixed points of mixed monotone operators with applications", Appl. Anal., 31, pp.215~224 (1988)[DOI]
  18. N. J. Huang, "Random generalized nonlinear variational inclusions for random fuzzy mappings", Fuzzy Sets Systems, 105, pp.437~444 (1999)[DOI]
  19. H. G. Li, "Approximation solution for general nonlinear ordered variational inequalities and ordered equations in ordered Banach space", Nonlinear Anal. Forum, 13(2), pp.205~214 (2008)
  20. H. G. Li, "Approximation solution for a new class of general nonlinear ordered variational inequalities and ordered equations in ordered Banach space", Nonlinear Anal. Forum, 14, pp.1~9 (2009)
  21. H. G. Li, "Nonlinear inclusions problems for ordered RME set valued mappings in ordered Hilbert space", Nonlinear Funct. Anal. Appl., 16(1), pp.1~8 (2011)
  22. B. S. Lee, "Fuzzy generalized nonlinear mixed random vari- ational like inclusions", Paci c J. Optim., 6(3), pp.579~590 (2010)
  23. B. S. Lee, "Fuzzy variational inclusions with (H,<TEX>$\phi$<", TEX>, <TEX>$\psi$<, TEX>- monotone mapping in Banach spaces, pp.J. Adv. Res. Appl. Math., 2012[DOI]
  24. Salahuddin, "FUZZY GENERAL NONLINEAR ORDERED RANDOM VARIATIONAL INEQUALITIES IN ORDERED BANACH SPACES", East Asian Mathematical Journal, 32(5), pp.685~700 (2016), 영남수학회[DOI]
  25. Salahuddin, "Random hybrid proximal point algorithms for fuzzy nonlinear set valued inclusions", J. Concrete Anal. Appl. Math. (2013)
  26. Salahuddin, "A common fixed point theorem for fuzzy mappings", Trans. Math. Prog. Appl., 1(1), pp.59~68 (2013)
  27. Salahuddin, "Existence theorem for fuzzy mixed vector F-variational inequalities", Adv. Nonlinear Var. Inequal., 16(1), pp.53~59 (2013)
  28. C. Zhang, "Random generalized nonlinear variational inclusions for fuzzy random mappings", J. Schuan Univ., 6, pp.499~502 (2007)
  29. L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.238~353 (1965)

관련 논문AI추천

FUZZY GENERAL NONLINEAR ORDERED RANDOM VARIATIONAL INEQUALITIES IN ORDERED BANACH SPACES이병수, Salahuddin영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호General nonlinear random set-valued variational inclusion problems with random fuzzy mappings in Banach spacesJavad Balooee대한수학회 · 대한수학회논문집2013 · 제28권 제2호Iterative Algorithms for a System of Random Nonlinear Equations with Fuzzy Mappings김종규, Salahuddin영남수학회 · East Asian Mathematical Journal2018 · 제34권 제3호An iterative algorithm for extended generalized nonlinear variational inclusions for random fuzzy mappingsAadil Hussain Dar, Md. Kalimuddin Ahmad, Mohd. Sarfaraz강원경기수학회 · 한국수학논문집2018 · 제26권 제1호Iterative algorithms for a fuzzy system of random nonlinear equations in Hilbert spacesSalahuddin대한수학회 · 대한수학회논문집2017 · 제32권 제2호Solvability for a system of generalized nonlinear ordered variational inclusions in ordered Banach spacesSalahuddin강원경기수학회 · 한국수학논문집2017 · 제25권 제3호

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