Hoonjoo Kim, Fixed point theorems for Chandrabhan type maps in abstract convex uniform spaces, Vol. 2021 (2021), Article ID 17, pp. 1-8

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DOI: 10.23952/jnfa.2021.17

Received February 9, 2021; Accepted May 4, 2021; Published May 25, 2021

Abstract. The aim of this paper is to present new fixed point theorems for Chandrabhan type multimaps on abstract convex uniform spaces. We obtain fixed point theorems for various Chandrabhan type multimaps such as upper semicontinuous or closed maps in Hausdorff KKM uniform spaces, and the maps whose ranges are $\Phi$-sets. We also obtain fixed point theorems in hyperconvex metric spaces.