Geodesic
On split equality minimization and fixed point problems
Novi Sad Journal of Mathematics, Tome 48 (2018) no. 2.

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In this paper, iterative algorithm for approximating a solution of a split equality minimization problem and split equality fixed point problem for demi-contractive mappings is introduced. Using our iterative algorithm, we state and prove a strong convergence theorem for approximating an element in the intersection of the solution set of a split equality minimization problem (SEMP) and the solution set of split equality fixed point problem (SEFP) for demicontractive maps. Our result do not require any compactness assumption and do not require the prior knowledge of the operator norm. Our result complements and extends some recent results in literature.
Publié le :
DOI : 10.30755/NSJOM.05660
Classification : 47H06, 47H09, 47J05, 47J25
Keywords: Split equality minimization problem, demi-contractive mapping, Proximal map, Hilbert spaces 
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     title = {On split equality minimization and fixed point problems},
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Oluwatosin Temitope Mewomo; Ferdinard Udochukwu Ogbuisi; Chibueze Christian Okeke. On split equality minimization and fixed point problems. Novi Sad Journal of Mathematics, Tome 48 (2018) no. 2. doi : 10.30755/NSJOM.05660. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.05660/

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