Chi-Ming Chen

Fixed 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 fixed point for these two types of contractions. Our results generalize or improve many recent fixed point theorems in the literature.MSC: 47H10; 54C60; 54H25; 55M20.

Common Fixed-Point Theorems in Complete Generalized Metric Spaces

We introduce the notions of the 𝒲 function and 𝒮 function, and then we prove two common fixed point theorems in complete generalized metric spaces under contractive conditions with these two functions. Our results generalize or improve many recent common fixed point results in the literature.

Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces

In this article, by using the Meir-Keeler type mappings, we obtain some new fixed point theorems for the cyclic orbital stronger (weaker) Meir-Keeler contractions and generalized cyclic stronger (weaker) Meir-Keeler contractions. Our results generalize or improve many recent fixed point theorems in the literature.Mathematical Subject Classification: 54H25; 47H10

Fixed 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 mapping satisfying the α-Meir-Keeler contraction with respect to the partial Hausdorff metric ℋ in complete partial metric spaces. Our result generalizes and extends some results in the literature.MSC:47H10, 54C60, 54H25, 55M20.

Periodic points for the weak contraction mappings in complete generalized metric spaces

In this article, we introduce the notions of (ϕ - φ)-weak contraction mappings and (ψ - φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which assure the existence of a periodic point for these two types of weak contraction.Mathematical Subject Classification: 47H10; 54C60; 54H25; 55M20.

Common fixed point theorems for the stronger Meir–Keeler cone-type function in cone ball-metric spaces

Abstract In this work, we introduce the concept of cone ball-metric spaces and we prove fixed point results on such spaces for mappings satisfying a contraction involving a stronger Meir–Keeler cone-type function.

Common fixed point theorems for a weaker Meir–Keeler type function in cone metric spaces ☆

Abstract In this work, we define a weaker Meir–Keeler type function ψ : int P ∪ { 0 } → int P ∪ { 0 } in a cone metric space, and under this weaker Meir–Keeler type function, we show the common fixed point theorems of four single-valued functions in cone metric spaces.

Periodic Points and Fixed Points for the Weaker(ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces

We introduce the notion of weaker (𝜙,𝜑)-contractive mapping in complete metric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature.

Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions

The purpose of this paper is to present the existence of the best period proximity point for cyclic weaker Meir-Keeler contractions and asymptotic cyclic weaker Meir-Keeler contractions in metric spaces.

The Generalized Weaker -Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces

We introduce the notion of generalized weaker -contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.