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Open AccessAdvances on the fixed point results via simulation function involving rational terms
In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and ...
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Article
Open AccessSplit proximal linearized algorithm and convergence theorems for the split DC program
In this paper, we study the split DC program by using the split proximal linearized algorithm. Further, linear convergence theorem for the proposed algorithm is established under suitable conditions. As applic...
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Open AccessAn algorithm for the split-feasibility problems with application to the split-equality problem
In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality p...
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Open AccessSome new fixed point theorems for the Meir-Keeler contractions on partial Hausdorff metric spaces
The purpose of this paper is to study fixed point theorems for a multi-valued map** concerning with three classes of Meir-Keeler contractions with respect to the partial Hausdorff metric
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Open AccessFixed point theory of the soft Meir-Keeler type contractive map**s on a complete soft metric space
In this paper, we introduce the notions of soft Meir-Keeler contractive map**s and weaker ϕ-Meir-Keeler contractive map**s, and the purpose of this paper is to prove two theorems which assures the existence o...
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Open AccessOn a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems
In this paper, we introduce two iterative algorithms for finding common solutions of a finite family of variational inclusions for maximal monotone and inverse-strongly monotone map**s with the constraints o...
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Open AccessFixed point results for the α-Meir-Keeler contraction on partial Hausdorff metric spaces
The purpose of this paper is to study fixed point theorems for a multi-valued map** satisfying the α-Meir-Keeler contraction with respect to the partial Hausdorff metric ℋ in complete partial metric spaces. Our...
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Open AccessFixed point results for Meir-Keeler-type ϕ-α-contractions on partial metric spaces
The purpose of this paper is to study fixed point theorems for a map** satisfying the generalized Meir-Keeler-type ϕ-α-contractions in complete partial metric spaces. Our results generalize or improve many rece...
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Article
Open AccessFixed point theorems of generalized cyclic orbital Meir-Keeler contractions
In this paper, we introduce two class of generalized cyclic orbital Meir-Keeler contractions and we study the existence and uniqueness of fixed points for these map**s. Our results in this paper extend and g...
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Open AccessFixed point theory of cyclical generalized contractive conditions in partial metric spaces
The purpose of this paper is to study fixed point theorems for a map** satisfying the cyclical generalized contractive conditions in complete partial metric spaces. Our results generalize or improve many rec...
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Article
Open AccessPeriodic points for the weak contraction map**s in complete generalized metric spaces
In this article, we introduce the notions of (ϕ - φ)-weak contraction map**s and (ψ - φ)-weak contraction map**s in complete generalized metric spaces and prove two theorems which assure the existence of a pe...
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Open AccessOn set-valued contractions of Nadler type in tυs-G-cone metric spaces
In this article, for a tυs-G-cone metric space (X, G) and for the family of subsets of X, we introduce a new notion of the ...
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Open AccessFixed point theorems for cyclic Meir-Keeler type map**s in complete metric spaces
In this article, by using the Meir-Keeler type map**s, we obtain some new fixed point theorems for the cyclic orbital stronger (weaker) Meir-Keeler contractions and generalized cyclic stronger (weaker) Meir-...
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Open AccessFixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces
In this article, we introduce the notions of cyclic weaker ϕ ○ φ-contractions and cyclic weaker (ϕ, φ)-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a ...
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Open AccessSome new fixed point theorems for set-valued contractions in complete metric spaces
In this article, we obtain some new fixed point theorems for set-valued contractions in complete metric spaces. Our results generalize or improve many recent fixed point theorems in the literature.
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Open AccessFixed Point Theorems for a Weaker Meir-Keeler Type -Set Contraction in Metric Spaces
We define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type -set contraction in me...
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Open AccessApproximate Fixed Point Theorems for the Class of Almost - Map**s in Abstract Convex Uniform Spaces
We use a concept of abstract convexity to define the almost - property, al- ...
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Open AccessCoincidence Theorems, Generalized Variational Inequality Theorems, and Minimax Inequality Theorems for the -Map** on -Convex Spaces
We establish some coincidence theorems, generalized variational inequality theorems, and minimax inequality theorems for the family -KKM...