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  1. Article

    Open Access

    Fixed 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...

    Chi-Ming Chen in Fixed Point Theory and Applications (2013)

  2. Article

    Open Access

    Fixed 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...

    Chi-Ming Chen in Fixed Point Theory and Applications (2013)

  3. Article

    Open Access

    Periodic 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...

    Chi-Ming Chen, Chao-Hung Chen in Fixed Point Theory and Applications (2012)

  4. Article

    Open Access

    On 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 ...

    Chi-Ming Chen in Fixed Point Theory and Applications (2012)

  5. Article

    Open Access

    Fixed 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-...

    Chi-Ming Chen in Fixed Point Theory and Applications (2012)

  6. Article

    Open Access

    Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces

    In this article, we introduce the notions of cyclic weaker ϕφ-contractions and cyclic weaker (ϕ, φ)-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a ...

    Chi-Ming Chen in Fixed Point Theory and Applications (2012)

  7. Article

    Open Access

    Some 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.

    Chi-Ming Chen in Fixed Point Theory and Applications (2011)

  8. Article

    Open Access

    Fixed 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...

    Chi-Ming Chen, Tong-Huei Chang in Fixed Point Theory and Applications (2009)

  9. Article

    Open Access

    Approximate 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- ...

    Tong-Huei Chang, Chi-Ming Chen, Yueh-Hung Huang in Fixed Point Theory and Applications (2009)

  10. Article

    Open Access

    Coincidence 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...

    Chi-Ming Chen, Tong-Huei Chang, Ya-Pei Liao in Fixed Point Theory and Applications (2007)