M.O. Osilike, E.E. Chima, Mixed equilibrium and multiple-set split feasibility problems for asymptotically k-strictly pseudononspreading mappings, Vol. 2020 (2020), Article ID 14, pp. 1-13

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DOI: 10.23952/cot.2020.14

Received March 16, 2020; Accepted May 15, 2020; Published June 10, 2020

Abstract. Let $H$ be a real Hilbert space. Let $C$ be a nonempty closed convex subset of $H$ and let $T:C\rightarrow C$ be an asymptotically $k$ -strictly pseudononspreading mapping. We show that the set of fixed points of $T$ is closed and convex, and $I-T$ is demiclosed at $0$ . In addition, weak and strong convergence theorems for mixed equilibrium and multiple-set split feasibility problems are established in $H$ .

How to Cite this Article:
M.O. Osilike, E.E. Chima, Mixed equilibrium and multiple-set split feasibility problems for asymptotically k-strictly pseudononspreading mappings, Communications in Optimization Theory, Vol. 2020 (2020), Article ID 14, pp. 1-13.