On ( α ∗ , ψ ) -contractive multi-valued mappings

Fixed point theorems for α-ψ-ϕ-contractive integral type mappings

In this paper, we introduce a new concept of α-ψ-ϕ-contractive integral type mappings and establish some new fixed point theorems in complete metric spaces.

Common Fixed Point for Generalized - (ψ, α, β)- Weakly Contractive Mappings in Dislocated Metric Spaces

In this paper, we establish some common fixed point theorems for generalized-( ψ , α , β )-weakly contractive mappings in dislocated metric spaces. We present an example in support of our theorem.

Fixed Points for Α-ψ Contractive Mappings with an Application to Quadratic Integral Equations

Recently, Samet et al [24] introduced the concept of α-ψ contractive mappings and studied the existence of fixed points for such mappings. In this article, we prove three fixed point theorems for this class of operators in complete metric spaces. Our results extend the results in [24] and well known fixed point theorems due to Banach, Kannan, Chatterjea, Zamfirescu, Berinde, Suzuki, Ćirić, Niet...

Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings

LetA andB be two nonempty subsets of ametric space (X, d). An element x ∈ A is said to be a fixed point of a given map T : A → B ifTx = x. Clearly,T(A)∩A ̸ = 0 is a necessary (but not sufficient) condition for the existence of a fixed point of T. If T(A) ∩ A = 0, then d(x, Tx) > 0 for all x ∈ A that is, the set of fixed points of T is empty. In a such situation, one often attempts to find an ele...

Unique fixed point theorems for α–ψ-contractive type mappings in fuzzy metric space