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.