Vectorial form of Ekeland-type variational principle with applications to vector equilibrium problems and fixed point theory

By Qamrul Hasan Ansari. 2007

65 citations recorded by the source corpus.

Abstract This paper introduces a vectorial form of equilibrium version of Ekeland-type variational principle. Some equivalent results to our variational principle are given. As applications, we derive the existence of solutions of a vector equilibrium problem in the setting of complete quasi-metric spaces with a W-distance. Caristi–Kirk fixed point theorem for multivalued maps is also established in a more general setting.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/56b4d2f0986e76cfeb7108081420b0ba57420bb5

Citations in the corpus

• Vector variational principles for set-valued functions (2011, unknown): “, [1, 2, 5, 12–16, 27, 29–31, 33, 34, 38, 52–54].”