Results 21 to 30 of about 278,852 (350)
A fixed point theorem revisited [PDF]
Proceedings of the American Mathematical Society, 1988 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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Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications
Abstract and Applied Analysis, 2012 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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Fixed point theorems for various types of F-contractions in complete b-metric spaces
, 2018 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 generalized weakly contractive mappings in metric spaces with applications
Fixed Point Theory and Applications, 2018 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
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A fixed point theorem and attractors [PDF]
Proceedings of the American Mathematical Society, 1978 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 Kannan type mappings
, 2017 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
semanticscholar +1 more source
Near Fixed Point Theorems in Hyperspaces
Mathematics, 2018 The hyperspace consists of all the subsets of a vector space. It is well-known that the hyperspace is not a vector space because it lacks the concept of inverse element. This also says that we cannot consider its normed structure, and some kinds of fixed
Hsien-Chung Wu
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Bipolar metric spaces and some fixed point theorems
, 2016 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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A Fixed Point Theorem for Discontinuous Functions [PDF]
SSRN Electronic Journal, 2004 AMS classifications: 54H25, 65K10, 49J53 ...
P. Jean-Jacques Herings +5 more
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Fixed Point Theorems via Auxiliary Functions
Journal of Applied Mathematics, 2012 We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.
Erdal Karapınar, Peyman Salimi
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