Skip to main content
Log in

Existence and approximation of solutions to variational inclusions with accretive mappings in Banach spaces

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

Abstract

The purpose of this paper is to study the existence and approximation problem of solutions for a class of variational inclusions with accretive mappings in Banach spaces. The results extend and improve some 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. Chang S S. The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings[J].Comput Math Appl, 1999,37: 17–24.

    Article  MATH  Google Scholar 

  2. Hassouni A, Moudafi A. A perturbed algorithms for variational inclusions[J].J Math Anal Appl, 1994,185: 706–721.

    Article  MATH  MathSciNet  Google Scholar 

  3. Ding X P. Perturbed proximal point algorithms for generalized quasi-variational inclusions[J].J Math Anal Appl, 1997,210: 88–101.

    Article  MATH  MathSciNet  Google Scholar 

  4. Ding X P. Generalized strongly nonlinear quasi-variational inequalities[J].J Math Anal Appl, 1993,173: 577–587.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  6. 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 

  7. Chang S S. On Chidume's open questions and approximate solutions for multi-valued strongly accretive mapping equations in Banach spaces[J].J Math Anal Appl, 1997,216: 94–111.

    Article  MATH  MathSciNet  Google Scholar 

  8. Kazmi K R. Mann and Ishikawa type perturbed iterative algorithms for generalized quasi-variational inclusions[J].J Math Anal Appl, 1997,209: 572–584.

    Article  MATH  MathSciNet  Google Scholar 

  9. Zeng L C. Iterative algorithms for finding approximate solutions for general strongly non-linear variational inequalities[J].J Math Anal Appl, 1994,187: 352–360.

    Article  MATH  MathSciNet  Google Scholar 

  10. Noor M A. General variational inequalities[J].Appl Math Lett, 1998,1: 119–122.

    Article  MathSciNet  Google Scholar 

  11. Noor M A. An iterative algorithm for variational inequalities[J].J Math Anal Appl, 1991,158: 446–455.

    Article  MathSciNet  Google Scholar 

  12. Siddiqi A H, Ansari Q H. General strongly nonlinear variational inequalities[J].J Math Anal Appl, 1992,166: 386–392.

    Article  MATH  MathSciNet  Google Scholar 

  13. Siddiqi A H, Ansari Q H, Kazmi K R. On nonlinear variational inequalities[J].Indian J Pure Appl Math, 1994,25: 969–973.

    MathSciNet  Google Scholar 

  14. Martin R H. A global existence theorem for autonomous differential equations in Banach spaces[J].Proc Amer Math Soc, 1970,26: 307–314.

    Article  MATH  MathSciNet  Google Scholar 

  15. Liu L S. Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive mappings in Banach spaces[J].J Math Anal Appl, 1995,194: 114–125.

    Article  MATH  MathSciNet  Google Scholar 

  16. Zhu L C. Iterative solution of nonlinear equations involvingm-accretive operators in Banach spaces [J].J Math Anal Appl, 1994,188: 410–415.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Paper from Zhang Shi-sheng, Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (19771058)

Biography: Zhang Shi-sheng (1934-), Professor

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shi-sheng, Z. Existence and approximation of solutions to variational inclusions with accretive mappings in Banach spaces. Appl Math Mech 22, 997–1003 (2001). https://doi.org/10.1007/BF02438317

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02438317

Key words

CLC number

Navigation