Abstract
In this paper, we consider a general iterative process for a generalized equilibrium problem and a strictly pseudo- contractive mapping. A strong convergence theorem of common elements of the fixed point sets of the strictly pseudocontractive mapping and of the solution sets of the generalized equilibrium problem is established in the framework of Hilbert spaces.
Highlights
AND PRELIMINARIESLet H be a real Hilbert space with inner product ·, · and norm ·
A is said to be inverse-strongly monotone if there exists a constant α > 0 such that Ax − Ay, x − y ≥ α Ax − Ay 2, ∀x, y ∈ C
Qin, Kang, and Cho [11] considered the generalized equilibrium problem (1.1) and a strictly pseudocontractive mapping based on an iterative method
Summary
AND PRELIMINARIESLet H be a real Hilbert space with inner product ·, · and norm ·. Qin, Kang, and Cho [11] considered the generalized equilibrium problem (1.1) and a strictly pseudocontractive mapping based on an iterative method.
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