Split common fixed point problem for Bregman demigeneralized mappings in Banach spaces with applications

Ali, Bashir ¹ ; Ugwunnadi, G. C. ² ; Lawan, M. S. ³

¹ Department of Mathematical Sciences, Bayero University, Kano, Nigeria
² Department of Mathematics , University of Eswatini, Private Bag 4, Kwaluseni, Eswatini
³ Department of Mathematics and Statistics, Kaduna Polytechnic, Kaduna, Nigeria

Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 5, p. 270-283.

Résumé

In this paper, we study the split common fixed point problem in reflexive Banach spaces, we obtain a strong convergence theorem for approximating a solution of the split common fixed point problem for Bregman demigeneralized mapping. Our result extend and improve important recent results announced by many authors.

Détail

DOI : 10.22436/jnsa.013.05.04

Classification : 47H09, 47J25
Keywords: Bregman distance, Bregman demigeneralized mappings, split common fixed point problem, fixed point, Banach spaces

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