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Chapter
Split Variational Inclusion Problem and Fixed Point Problem for Asymptotically Nonexpansive Semigroup with Application to Optimization Problem
The purpose of this paper is, by using the shrinking projection method, to introduce and study an iterative process to approximate a common solution of the split variational inclusion problem and the fixed poi...
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Article
On the split feasibility problem and fixed point problem of quasi-ϕ-nonexpansive map** in Banach spaces
The purpose of this paper is to propose an algorithm to solve the split feasibility and fixed point problem of quasi-ϕ-nonexpansive map**s in Banach spaces. Without the assumption of semi-compactness on the map...
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Article
Open AccessThe split common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces
In this paper, we propose an iteration method for finding a split common fixed point of asymptotically nonexpansive semigroups in the setting of two Banach spaces, and we obtain some weak and strong convergenc...
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Article
Open AccessConvergence theorems for split equality mixed equilibrium problems with applications
In this paper, we introduce a new algorithm for solving split equality mixed equilibrium problems in the framework of infinite-dimensional real Hilbert spaces. The strong and weak convergence theorems are obta...
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Article
Open AccessAn algorithm with strong convergence for the split common fixed point problem of total asymptotically strict pseudocontraction map**s
The purpose of this paper is to propose an algorithm to solve the split common fixed point problems for total asymptotically strict pseudocontraction map**s in Hilbert spaces. Without the assumption of semi-...
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Article
Open AccessDemiclosed principle and convergence theorems for asymptotically strictly pseudononspreading map**s and mixed equilibrium problems
In this paper, the demiclosed principle for a k-asymptotically strictly pseudononspreading map** is shown. Meanwhile, an iterative scheme is introduced to approximate a common element of the set of common fixed...
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Article
Open AccessStrong convergence theorem for quasi-ϕ-asymptotically nonexpansive map**s in the intermediate sense in Banach spaces
In this paper, we modify Halpern and Mann’s iterations for finding a fixed point of an infinite family of quasi-ϕ-asymptotically nonexpansive map**s in the intermediate sense in Banach spaces. We prove a strong...
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Article
Open AccessConvergence theorems for total asymptotically nonexpansive non-self map**s in spaces
In this paper, we introduce the concept of total asymptotically nonexpansive nonself map**s and prove the demiclosed principle for this kind of map**s in ...
