Skip to main content

An Iterative Method for Quasi-Variational-Like Inclusions with Fuzzy Mappings

  • Conference paper
Rough Sets and Knowledge Technology (RSKT 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4062))

Included in the following conference series:

Abstract

This paper presents an iterative method for solving a class of generalized quasi-variational-like inclusions with fuzzy mappings. The method employs step size controls that enable applications to problems where certain set-valued mappings do not always map to empty set. The algorithm also adopts the recently introduced (H,η)-monotone concept which unifies many known monotonicities. Thus generalized many existing results.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Al-Shemas, E., Billups, S.C.: An interative method for generlized set-valued nonlinear mixed-variational inequalities. J. Comput. Appl. Math. 2, 423–432 (2004)

    Article  MathSciNet  Google Scholar 

  2. Chang, S.S., Huang, N.J.: Generalized complementarity problem for fuzzy mappings. Fuzzy Sets and Systems 2, 227–234 (1993)

    Article  MathSciNet  Google Scholar 

  3. Chang, S.S., Zhu, Y.G.: On variational inequalities for fuzzy mappings. Fuzzy Sets and Systems 32, 359–367 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  4. Fang, Y.P., Huang, N.J.: Research report. Sichuan University (2003)

    Google Scholar 

  5. Fang, Y.P., Huang, N.J., Thompson, H.B.: A new system of variational inclusions with ( H,η)-Monotone operations in Hilbert Spaces. Comput. Math. Appl. 49, 365–374 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  6. Huang, N.J., Bai, M.R., Cho, Y.J., Kang, S.M.: Generalized nonlinear mixed quasi-variational inequalities. Comput. Math. Appl. 2-3, 205–215 (2000)

    Article  MathSciNet  Google Scholar 

  7. Nadler, S.B.: Multivalued contraction mappings. Pacific J. Math. 30, 475–485 (1969)

    MATH  MathSciNet  Google Scholar 

  8. Park, J.Y., Jeong, J.U.: Strongly variational inequalities for fuzzy mappings. J. Fuzzy Math. 2, 475–482 (1998)

    MathSciNet  Google Scholar 

  9. Park, J.Y., Jeong, J.U.: A perturbed algorithm of varitional inclusions for fuzzy mappings. Fuzzy Sets and Systems 115, 419–424 (2000)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zou, Y., Huang, N. (2006). An Iterative Method for Quasi-Variational-Like Inclusions with Fuzzy Mappings. In: Wang, GY., Peters, J.F., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2006. Lecture Notes in Computer Science(), vol 4062. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11795131_50

Download citation

  • DOI: https://doi.org/10.1007/11795131_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-36297-5

  • Online ISBN: 978-3-540-36299-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics