Skip to main content
Log in

Multi-valued quasi variational inclusions in Banach spaces

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The purpose is to introduce and study a class of more general multivalued quasi variational inclusions in Banach spaces. By using the resolvent operator technique some existence theorem of solutions and iterative approximation for solving this kind of multivalued quasi variational inclusions are established. The results generalize, improve and unify a number of Noor's and others' recent results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Noor M A. Set-valued quasi variational inequalities [J].K J Comput Appl Math, 2000,7:101–113.

    MATH  MathSciNet  Google Scholar 

  2. Noor M A. Three-step approximation schemes for multivalued quasi variational inclusions [J].Nonlinear Funct Anal Appl, 2001,6(3):383–394.

    MATH  MathSciNet  Google Scholar 

  3. Noor M A. Two-step approximation schemes for multivalued quasi variational inclusions [J].Nonlinear Funct Anal Appl, 2002,7(1):1–14.

    MATH  MathSciNet  Google Scholar 

  4. Noor M A. Multivalued quasi variational inclusions and implicit resolvent equations[J].Nonlinear Anal TMA, 2002,48(2):159–174.

    Article  MATH  MathSciNet  Google Scholar 

  5. Chang S S, Cho Y J, Lee B S,et al. Generalized set-valued variational inclusions in Banach spaces [J].J Math Anal Appl, 2000,246:409–422.

    Article  MATH  MathSciNet  Google Scholar 

  6. Chang S S. Set-valued variational inclusions in Banach spaces[J].J Math Anal Appl, 2000,248: 438–454.

    Article  MATH  MathSciNet  Google Scholar 

  7. Chang S S, Kim J K, Kim K H. On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces[J].J Math Anal Appl, 2002,268:89–108.

    Article  MATH  MathSciNet  Google Scholar 

  8. Barbu V.Nonlinear Semigroups and Differential Equations in Banach Spaces[M]. Leyden: Noordhaff, 1979.

    Google Scholar 

  9. Noor M A. Generalized set-valued variational inclusions and resolvent equations[J].J Math Anal Appl, 1998,228:206–220.

    Article  MATH  MathSciNet  Google Scholar 

  10. Chang S S. Some problems and results in the study of nonlinear analysis[J].Nonlinear Anal TMA, 1997,30:4197–4208.

    Article  MATH  Google Scholar 

  11. Nadler S B. Multi-valued contraction mappings[J].Pacific J Math, 1969,30:475–488.

    MATH  MathSciNet  Google Scholar 

  12. Noor M A. Some algorithms for general monotone mixed variational inequalities[J].Math Computer Modelling, 1999,29(7):1–7.

    Article  MATH  MathSciNet  Google Scholar 

  13. Uko L U. Strongly nonlinear generalized equations[J].J Math Anal Appl, 1998,220:65–76.

    Article  MATH  MathSciNet  Google Scholar 

  14. Zeng L U. Iterative algorithm for finding approximate solutions to completely generalized strongly nonlinear quasi-variational inequality[J].J Math Anal Appl, 1996,201:180–191.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Contributed by ZHANG Shi-sheng

Biography: ZHANG Shi-sheng (1934≈), Professor

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shi-sheng, Z. Multi-valued quasi variational inclusions in Banach spaces. Appl Math Mech 25, 627–635 (2004). https://doi.org/10.1007/BF02438205

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02438205

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Navigation