Paper's Title:

Metric Functionals for the Hästö Metric

Author(s):

G. Bettencourt and S. Mendes

Departamento de Matemática,
Universidade da Beira Interior -
Covilhã Portugal,
Centro de Matemática e Aplicações
Universidade da Beira Interior -
Covilhã Portugal.
E-mail: gastao@ubi.pt

 
ISCTE - University Institute of Lisbon - Lisbon Portugal,
Centro de Matemática e Aplicações
Universidade da Beira Interior -
Covilhã Portugal.
E-mail: sergio.mendes@iscte-iul.pt

Abstract:

In 2002, new classes of weighted metrics on Rⁿ were introduced by Peter Hästö. In this article we compute the metric functionals for such classes of metrics.

Paper's Title:

Multivalued Equilibrium Problems with Trifunction

Author(s):

Muhammad Aslam Noor

Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab Emirates
noor@ece.ac.ae

Abstract:

In this paper, we use the auxiliary principle technique to suggest some new classes of iterative algorithms for solving multivalued equilibrium problems with trifunction. The convergence of the proposed methods either requires partially relaxed strongly monotonicity or pseudomonotonicity. As special cases, we obtain a number of known and new results for solving various classes of equilibrium and variational inequality problems. Since multivalued equilibrium problems with trifunction include equilibrium, variational inequality and complementarity problems as specials cases, our results continue to hold for these problems.

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