A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space

• Autores: Chinedu Izuchukwu, K. O. Aremu, A. A. Mebawondu, O. T. Mewomo
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 20, Nº. 1, 2019, págs. 193-210
• Idioma: inglés
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• Resumen

  • The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and  a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to a common solution of a finite family of equilibrium problems and fixed point problem for a nonexpansive  mapping is established in a Hadamard space. We further applied our results to solve some optimization problems in Hadamard spaces.