Abstract
The purpose of this paper is to study fixed point theorems for a mapping satisfying the cyclical generalized contractive conditions in complete partial metric spaces. Our results generalize or improve many recent fixed point theorems in the literature.
Highlights
Introduction and preliminariesThroughout this paper, by R+, we denote the set of all nonnegative real numbers, while N is the set of all natural numbers
The purpose of this paper is to study fixed point theorems for a mapping satisfying the cyclical generalized contractive conditions in complete partial metric spaces
Our results generalize or improve many recent fixed point theorems in the literature
Summary
The fixed theorems for an operator f : X → X defined on a metric space X with a cyclic representation of X with respect to f have appeared in the literature (see, e.g., [ – ]). ( ) there exists a continuous, non-decreasing function φ : [ , ∞) → [ , ∞) with φ(t) >. Theorem [ ] Let (X, d) be a complete metric space, m ∈ N, A , A , . The purpose of this paper is to study fixed point theorems for a mapping satisfying the cyclical generalized contractive conditions in complete partial metric spaces. We state a new notion of cyclic CW-contractions in partial metric spaces as follows.
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