Results 21 to 30 of about 578,070 (245)
Fixed point theorems for F-expanding mappings
Recently, Wardowski (Fixed Point Theory Appl. 2012:94, 2012) introduced a new concept of F-contraction and proved a fixed point theorem which generalizes the Banach contraction principle.
Jarosław Górnicki
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A Generalization of b-Metric Space and Some Fixed Point Theorems
In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces.
T. Kamran, Maria Samreen, Qurat Ul Ain
semanticscholar +1 more source
Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications
We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various
Erdal Karapınar, Bessem Samet
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Generalized fixed point theorems on metric spaces [PDF]
In this paper, we establish some fixed point theorems for single valued and multi-valued mappings on a complete metric space. Suzuki's and some other fixed point theorems are generalized by taking a more general contractive condition for single valued ...
Chandra Naveen+2 more
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A fixed point theorem revisited [PDF]
A version of a theorem commonly referred to as Caristi’s Theorem is given. It has an elementary constructive proof and it includes many generalizations of Banach’s fixed point theorem. Several examples illustrate the diversity that can occur.
T. L. Hicks, Alberta Bollenbacher
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Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications
In this paper, motivated and inspired by Samet et al., we introduce the notion of generalized weakly contractive mappings in metric spaces and prove the existence and uniqueness of fixed point for such mappings, and we obtain a coupled fixed point ...
S. Cho
semanticscholar +1 more source
A fixed point theorem and attractors [PDF]
We investigate attractors for compact sets by considering a certain quotient space. The following theorem is included. Let f : G → G f:G \to G , G a closed convex subset of a Banach space, f a mapping satisfying (i) there exists M ⊂ G M \subset G which is an ...
J. L. Solomon, Ludvik Janos
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Fixed point theorems for various types of F-contractions in complete b-metric spaces
We generalize various types of F -contractions defined by Wardowski, Vetro and others to b-metric spaces and prove fixed point theorems for them. The examples given show that these generalizations extend the existing results in a significant way.
A. Lukács, S. Kajántó
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Fixed point theorems for Kannan type mappings
In this note, we prove some fixed point theorems for Kannan type mappings. We will use the additional conditions as compactness or asymptotic regularity or involutions.
J. Górnicki
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Bipolar metric spaces and some fixed point theorems
In this paper we introduce the concept of bipolar metric space as a type of partial distance. We explore the link between metric spaces and bipolar metric spaces, especially in the context of completeness, and prove some extensions of known fixed point ...
A. Mutlu, U. Gürdal
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