Fixed point problem
Self Adaptive Algorithms for the Split Common Fixed Point Problem of the Demimetric Mappings
... split common fixed point problem. Further, we also establish the weak and strong convergence theorems under some certain appropriate assumptions. The results in this paper are the extension and ...
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Convergence Theorem for Generalized Mixed Equilibrium Problem and Common Fixed Point Problem for a Family of Multivalued Mappings
... Motivated by the result of Takahashi [40], Bunyawat and Suantai [6] used the shrinking projection method and defined a hybrid method for Mixed equilibrium problem and fixed point problem for a ...
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Approximation of common solutions for a fixed point problem of asymptotically nonexpansive mapping and a generalized equilibrium problem in Hilbert space
... equilibrium problem and a fixed point problem for an asymptotically nonexpansive mapping in a real Hilbert ...equilibrium problem and the fixed point problem for an ...
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The split common fixed point problem for infinite families of demicontractive mappings
... Remark 3.6 By the same setting as in Corollary 3.5, Eslamian [17] used another algorithm for solving the same problem as in Corollary 3.5; see [17], Theorem 3.3. Note that each step of our algorithm is much easier ...
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Iterative methods for the split common fixed point problem in Hilbert spaces
... algorithm (.) converges to a solution to problem (.) whenever such a solution exists. However, in order to implement this algorithm, one has first to compute (or, at least, esti- mate) the norm of A, which is ...
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An iterative algorithm for fixed point problem and convex minimization problem with applications
... the behavior of the gradient of the objective function. If the gradient fails to be strongly monotone, then the strong convergence of the sequence generated by gradient-projection method may fail. Recently, Xu [] gave ...
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An iterative algorithm for system of generalized equilibrium problems and fixed point problem
... In this paper, we suggest and analyze an iterative method for finding the approximate el- ement of the common set of solutions of (.) and (.) in real Hilbert space, which can be viewed as a refinement and improvement ...
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Common Fixed Point Problem for a Family Multivalued Mapping in Banach Space
... s Following Browder 2, we say that a Banach space X has the weakly continuous duality mapping if there exists a gauge function ϕ for which the duality map Jϕ is single valued and weak to[r] ...
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Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem
... In this section, we obtain the following results by using a special case of the proposed method. The first result can be viewed as an extension and improvement of the method of Gu et al. [] for finding an approximate ...
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Strong convergence theorems for the split equality variational inclusion problem and fixed point problem in Hilbert spaces
... In this paper, we propose and investigate two new iterative algorithms for solving the split equality variational inclusion problem in Hilbert spaces. We also prove that the sequences generated by the proposed ...
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On solving the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings
... We consider the split generalized equilibrium problem and the fixed point problem for a countable family of nonexpansive multivalued mappings in real Hilbert spaces. Then, using the shrinking ...
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New algorithms designed for the split common fixed point problem of quasi pseudocontractions
... because the metric projection onto fixed point sets is generally not easy to calculate. To solve the two-set split common fixed point problem, motivated by the algorithms (.) and (.), Censor and ...
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The split common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces
... problem (.) is also said to be split common fixed point problem []. It is well known that each nonempty closed convex subset of a Hilbert space is the set of fixed points of its projection, ...
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A new multi-step iteration for solving a fixed point problem of nonexpansive mappings
... Lemma . [] Let E be a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, let C be a nonempty closed convex subset of E, let A : C → C be a continuous strongly pseudocontractive ...
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Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
... Remark 3.1 Our results extend the results of Cho et al. [14] in the framework of CAT(0) spaces. They established convergence theorems for three asymptotically quasi- nonexpansive mappings involving the convex and lower ...
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Hybrid steepest iterative algorithm for a hierarchical fixed point problem
... We have analyzed an iterative method for finding an approximate solution of hierarchical fixed point problem (.) and variational inequality problem (.) involving a finite family of nonexpansive ...
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The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem
... equilibrium problem, a variational inequality problem and a fixed point problem for a sequence of nearly nonexpansive mappings defined by ...
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Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem
... The above equivalence relation (.) reminds us to use fixed point method to solve (.). Many authors have given a continuation of the study on the CQ algorithm and its variant form. For related work, please refer ...
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A Method for a Solution of Equilibrium Problem and Fixed Point Problem of a Nonexpansive Semigroup in Hilbert's Spaces
... Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications , vol. Wong, “Viscosit[r] ...
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A fixed point problem under two constraint inequalities
... technique can also be adapted for any finite number of constraint inequalities and other contractive conditions. An interesting question is the existence of a best proximity point of a certain operator under ...
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