Fixed point approximations of noncommutative generic 2-generalized Bregman nonspreading mappings with equilibriums

Ali, Bashir ¹ ; Haruna, Lawal Yusuf ²

¹ Department of Mathematical Sciences, Bayero University, Kano, Nigeria
² Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria

Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 6, p. 303-316.

Résumé

In this paper, a Halpern type iterative scheme for finding a common element in the set of fixed points of generic 2-generalized Bregman nonspreading mappings and the solution set of equilibrium problem have been proposed. We also prove that the sequence generated by the scheme converges strongly to the element in a real reflexive Banach space. Our results improve and generalize some announced results in the literature.

Détail

DOI : 10.22436/jnsa.013.06.01

Classification : 47H09, 47H10, 47J25
Keywords: invex set, normally 2-generalized hybrid mapping, fixed point, generic 2-generalized Bregman nonspreading mapping, equilibrium problem

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