Coincidence and fixed point theorems with applications
KeywordsCoincidence, fixed point, convex section, equilibrium, quasi-variational inequality
AbstractIn this paper, we first establish a coincidence theorem under the noncompact settings. Then we derive some fixed point theorems for a family of functions. We apply our fixed point theorem to study nonempty intersection problems for sets with convex sections and obtain a social equilibrium existence theorem. We also introduce a concept of a quasi-variational inequalities and prove an existence result for a solution to such a system.
How to Cite
ANSARI, Qamrul H., IDZIK, Adam & YAO, Jen-Chih. Coincidence and fixed point theorems with applications. Topological Methods in Nonlinear Analysis [online]. 1 March 2000, T. 15, nr 1, s. 191–202. [accessed 28.3.2023].
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