Geodesic
Iterative solution of split equilibrium and fixed point problems in real Hilbert spaces :
Ezeora, J. N. 1   ; Jackreece, P. C. 1
1 Department of Mathematics and Statistics, University of Port Harcpourt, Nigeria
Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 5, p. 359-371 Cet article a éte moissonné depuis la source International Scientific Research Publications

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In this article, we introduce a hybrid iteration involving inertial-term for split equilibrium problem and fixed point for a finite family of asymptotically strictly pseudocontractive mappings. We prove that the sequence converges strongly to a solution of split equilibrium problem and a common fixed point of a finite family of asymptotically strictly pseudocontractive mappings. The results proved extend and improve recent results of Chang et al. [S. S. Chang, H. W. J. Lee, C. K. Chan, L. Wang, L. J. Qin, Appl. Math. Comput., $\bf 219$ (2013), 10416--10424], Dewangan et al. [R. Dewangan, B. S. Thakur, M. Postolache, J. Inequal. Appl., $\bf 2014$ (2014), 11 pages], and many others.

DOI : 10.22436/jnsa.014.05.06
Classification : 47H09, 47H10, 49M05, 54H25
Keywords: Total asymptotically strict pseudocontractive mapping, split equilibrium problem, fixed point problem, inertial-step, bounded linear operator

Ezeora, J. N.   1   ; Jackreece, P. C.   1

1 Department of Mathematics and Statistics, University of Port Harcpourt, Nigeria 
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Ezeora, J.  N.  ; Jackreece, P. C. . Iterative solution of split equilibrium and fixed point problems in real Hilbert spaces. Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 5, p. 359-371. doi: 10.22436/jnsa.014.05.06

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