Results 11 to 20 of about 3,769,573 (257)
PARALLEL SYNCRHRONOUS ALGORITHM FOR NONLINEAR FIXED POINT PROBLEMS [PDF]
We give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the Euclidian norm in ℝn. We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, and convex programming.
A. Addou, Abdenasser Benahmed
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On fixed point approach to equilibrium problem [PDF]
The equilibrium problem defined by the Nikaid -Isoda-Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibria, and others as special cases. This paper presents a picture for the relationship between the fixed points of the Moreau proximal mapping and the solutions of the ...
Le Dung Muu, Xuan Thanh Le
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On the problem of discontinuity at fixed point
In this paper we obtain two known solutions of the problem of continuity of contractive mappings at fixed point under alternative set of conditions; these known solutions followed the first solution of Rhoades problem by Pant in 1999. We show that these two solutions characterize completeness and we also compare these with some recent ...
Govind Pathak+3 more
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The purpose of this paper is to introduce the split combination of variational inclusion problem which combines the concept of the modified variational inclusion problem introduced by Khuangsatung and Kangtunyakarn and the split variational inclusion ...
Bunyawee Chaloemyotphong+1 more
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Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint [PDF]
Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques on metric spaces.
Taş, Nihal, Özgür, Nihal Yilmaz
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Solving Equilibrium Problem and Fixed Point Problem by Normal S-iteration Process in Hilbert Space
The main purpose of this paper is to find a common element in the solution set of equilibrium problem and fixed point problem of non-expansive mappings in the real Hilbert space with the help of normal S-iteration process.
Shamshad Husain, Mohd Asad
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Equilibrium problems and fixed point theory [PDF]
The fixed point theory is a well-established subject in the area of nonlinear analysis. The iterative method for solving the fixed point problem was considered from the origin of this problem. Namely, Cauchy, Liouville, Lipschitz, Peano, Fredholm, Picard, Banach, Browder, Helpern, Mann, Ishikawa, etc., have given different kinds of iterative methods ...
Suliman Al-Homidan+2 more
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The split common fixed point problem for infinite families of demicontractive mappings
In this paper, we propose a new algorithm for solving the split common fixed point problem for infinite families of demicontractive mappings. Strong convergence of the proposed method is established under suitable control conditions.
Adisak Hanjing, Suthep Suantai
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BSE’s, BSDE’s and fixed-point problems
In this paper, we introduce a class of backward stochastic equations (BSEs) that extend classical BSDEs and include many interesting examples of generalized BSDEs as well as semimartingale backward equations. We show that a BSE can be translated into a fixed point problem in a space of random vectors.
Cheridito, Patrick, Nam, Kihun
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Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
In this paper, we prove the Δ-convergence of a modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically nonexpansive mapping, a multivalued ...
Shamshad Husain, Nisha Singh
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