39
views
0
recommends
+1 Recommend
1 collections
    1
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems

      1 , 2
      Nonlinear Analysis: Modelling and Control
      Vilnius University Press

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          The aim of the present paper is to establish a variational principle in metric spaces without assumption of completeness when the involved function is not lower semicontinuous. As consequences, we derive many fixed point results, nonconvex minimization theorem, a nonconvex minimax theorem, a nonconvex equilibrium theorem in noncomplete metric spaces. Examples are also given to illustrate and to show that obtained results are proper generalizations.

          Most cited references37

          • Record: found
          • Abstract: not found
          • Article: not found

          On the variational principle

          I. Ekeland (1974)
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Nonconvex minimization problems

                Bookmark

                Author and article information

                Journal
                Nonlinear Analysis: Modelling and Control
                Vilnius University Press
                1392-5113
                April 23 2019
                April 23 2019
                : 24
                : 3
                : 407-432
                Affiliations
                [1 ]University of Sargodha, Pakistan
                [2 ]King Abdulaziz University, Saudi Arabia
                Article
                10.15388/NA.2019.3.6
                5db03519-edbb-4ddf-9cd2-aa070fcdf816
                © 2019

                All content is freely available without charge to users or their institutions. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission of the publisher or the author. Articles published in the journal are distributed under a http://creativecommons.org/licenses/by/4.0/.

                History

                Linguistics & Semiotics,Social & Behavioral Sciences,Law,Mathematics,History,Philosophy

                Comments

                Comment on this article