Some fixed point theorems in locally p-convex spaces

Author:

Gholizadeh Leila,Karapınar Erdal,Roohi Mehdi

Abstract

Abstract In this paper we investigate the existence of a fixed point of multivalued mapson almost p-convex and p-convex subsets of topological vectorspaces. Our results extend and generalize some fixed point theorems on the topicin the literature, such as the results of Himmelberg, Fan and Glicksberg. MSC: 46T99, 47H10, 54H25, 54E50, 55M20, 37C25.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference39 articles.

1. Alimohammady M, Roohi M, Gholizadeh L: On the Markov-Kakutani’s fixed point theorem. Sci. Stud. Res. Ser. Math. Inform. 2009, 19(1):17–22.

2. Kim WK: Some application of the Kakutani fixed point theorem. J. Math. Anal. Appl. 1987, 121: 119–122. 10.1016/0022-247X(87)90242-3

3. Park S: Fixed points on star-shaped sets. Nonlinear Anal. Forum 2001, 6(2):275–279.

4. Alimohammady M, Roohi M, Gholizadeh L: Remarks on the fixed points on star-shaped sets. Kochi J. Math. 2008, 3: 109–116.

5. Bayoumi A North-Holland Mathematics Studies 193. Foundations of Complex Analysis in Nonlocally Convex Spaces 2003.

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