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Article
Open AccessMoudafi’s open question and simultaneous iterative algorithm for general split equality variational inclusion problems and general split equality optimization problems
The purpose of this paper is first to introduce and study the general split equality variational inclusion problems and the general split equality optimization problems in the setting of infinite-dimensional Hilb...
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Article
Open AccessNonlinear contractive and nonlinear compatible type map**s in Menger probabilistic metric spaces
In this paper some new fixed point theorems for nonlinear contractive type and nonlinear compatible type map** in complete Menger probabilistic metric spaces are proved.
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Article
Open AccessA system of nonlinear set valued variational inclusions
In this paper, we studied the existence theorems and techniques for finding the solutions of a system of nonlinear set valued variational inclusions in Hilbert spaces. To overcome the difficulties, due to the ...
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Article
Open AccessConvergence theorems for some multi-valued generalized nonexpansive map**s
In this paper, we propose an algorithms for finding a common fixed point of an infinite family of multi-valued generalized nonexpansive map**s in uniformly convex Banach spaces. Under suitable conditions some s...
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Article
A modified Halpern-type iteration algorithm for quasi-ϕ -asymptotically nonexpansive map**s and applications
The purpose of this article is to modify the Halpern-type iteration algorithm for quasi-ϕ-asymptotically nonexpansive map** to have the strong convergence under a limit condition only in the framework of Banach...
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Article
Open AccessStrong convergence theorems of nonlinear operator equations for countable family of multi-valued total quasi-ϕ-asymptotically nonexpansive map**s with applications
The purpose of this article is first to introduce the concept of total quasi-ϕ-asymptotically nonexpansive multi-valued map** which contains many kinds of map**s as its special cases, and then by using the hy...
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Article
Open AccessStrong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive map**s and applications
The purpose of this article is first to introduce the concept of total quasi-ϕ-asymptotically nonexpansive map** which contains many kinds of map**s as its special cases, and then by using the hybrid algorith...
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Article
Open AccessStrong convergence theorems of quasi-ϕ-asymptotically nonexpansive semi-groups in Banach spaces
The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for quasi-ϕ-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework ...