Skip to main content
Fixed Point Theory and Algorithms for Sciences and Engineering
Download PDF
  • Research Article
  • Open access
  • Published:

On generalized vector quasivariational-like inequality problems

Fixed Point Theory and Applications volume 2005, Article number: 263107 (2005) Cite this article

Abstract

We introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an application of our results, we have obtained as special cases the existence results for vector quasi-equilibrium problems, generalized vector quasivariational inequality and vector quasi-optimization problems. The results of this paper generalize and unify the corresponding results of several authors and can be considered as a significant extension of the previously known results.

Author information

Authors and Affiliations

  1. Post Graduate Department of Mathematics, University of Jammu, Jammu and Kashmir, 180006, India

    Abdul Khaliq & Mohammad Rashid

  2. Post Graduate Department of Applied Mathematics, BGSB University, Rajouri, Jammu and Kashmir, 185131, India

    Abdul Khaliq

  3. Department of Mathematics, Government Degree College, Rajouri, Jammu and Kashmir, 185131, India

    Mohammad Rashid

Authors
  1. Abdul Khaliq
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohammad Rashid
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abdul Khaliq.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Khaliq, A., Rashid, M. On generalized vector quasivariational-like inequality problems. Fixed Point Theory Appl 2005, 263107 (2005). https://doi.org/10.1155/FPTA.2005.243

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1155/FPTA.2005.243