Tong-Huei Chang

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.

Approximate Fixed Point Theorems for the Class of Almost - Mappings in Abstract Convex Uniform Spaces

We use a concept of abstract convexity to define the almost - property, al-- family, and almost -spaces. We get some new approximate fixed point theorems and fixed point theorems in almost -spaces. Our results extend some results of other authors.