Abstract
Abstract Two results involving the existence, uniqueness and iterative approximations of fixed points for two contractive mappings of integral type are proved in complete metric spaces. Two nontrivial examples are included. MSC:54H25.
Highlights
In recent years, there has been increasing interest in the study of fixed points and common fixed points of mappings satisfying contractive conditions of integral type, see, for example, [ – ] and the references cited therein
Where c ∈ (, ) is a constant, φ ∈ = {φ : φ : R+ → R+ satisfies that φ is Lebesgue integrable, summable on each compact subset of R+ and ε for each ε and proved the existence of a fixed point for the mapping in complete metric spaces
[ ] and Liu et al [ ] extended Branciari’s result and obtained a few fixed point theorems for the contractive mappings of integral type below: d(fx,fy)
Summary
There has been increasing interest in the study of fixed points and common fixed points of mappings satisfying contractive conditions of integral type, see, for example, [ – ] and the references cited therein. Where c ∈ ( , ) is a constant, φ ∈ = {φ : φ : R+ → R+ satisfies that φ is Lebesgue integrable, summable on each compact subset of R+ and ε for each ε and proved the existence of a fixed point for the mapping in complete metric spaces. [ ] and Liu et al [ ] extended Branciari’s result and obtained a few fixed point theorems for the contractive mappings of integral type below: d(fx,fy)
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