Abstract
Abstract Three fixed point theorems for three general classes of contractive mappings of integral type in complete metric spaces are proved. Three examples are included. MSC:54H25.
Highlights
Branciari [ ] was the first to study the existence of fixed points for the contractive mapping of integral type
Let f be a mapping from a complete metric space (X, d) into itself satisfying d(fx,fy) d(x,y) φ(t) dt ≤ c φ(t) dt, ∀x, y ∈ X
Afterwards, many authors continued the study of Branciari and obtained many fixed point theorems for several classes of contractive mappings of integral type; see, e.g., [ – ] and the references therein
Summary
Branciari [ ] was the first to study the existence of fixed points for the contractive mapping of integral type. Afterwards, many authors continued the study of Branciari and obtained many fixed point theorems for several classes of contractive mappings of integral type; see, e.g., [ – ] and the references therein.
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