List of Articles Meir-Keeler contraction

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  1 - Existence of triple best proximity point for a 3-cyclic summing Meir-Keeler contraction
  Akram Safari-Hafshejani
  Let , and be nonempty subsets of a matric space . Then the mapping is called cyclic if , and . Consider the following optimization problem Let , certainly if the condition be true for some then it is best answer for optimization problem , that we called it triple best More

  Let , and be nonempty subsets of a matric space . Then the mapping is called cyclic if , and . Consider the following optimization problem Let , certainly if the condition be true for some then it is best answer for optimization problem , that we called it triple best proximity point of .In this paper‎, first ‎we introduce the notion of 3-cyclic summing Meir-Keeler contractions as a generalization of 3-cyclic summing contractions, then we obtain the conditions for the existence of a triple best proximity point for these class of mappings in the metric spaces with property UC‎. Our results in this paper are true for a n-cyclic summing Meir-Keeler contraction just we work with order 3 for the simplicity of proofs. Note that, our results are generalizations of some existing theorems with shorter and simpler proofs. Note that, our results are generalizations of some existing theorems with shorter and simpler proofs. Manuscript profile
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  2 - Random xed point of Meir-Keeler contraction mappings and its application
  H. Dibachi
  In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C → C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with  being a sigma-algebra of sub-sets of. Also, we More

  In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C → C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with  being a sigma-algebra of sub-sets of. Also, we apply such type of random fixed point results to prove theexistence and unicity of a solution for an special random integral equation. Manuscript profile
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  3 - Fixed points of generalized $\alpha$-Meir-Keeler type contractions and Meir-Keeler contractions through rational expression in $b$-metric-like spaces
  N. Gholamian
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