Results 21 to 30 of about 1,116,652 (248)
On a Fixed Point Theorem of Kirk [PDF]
Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Claudio H. Morales, Simba A. Mutangadura
openaire +1 more source
An Extension of Gregus Fixed Point Theorem
Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T:C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ed(y,Tx)+fd(x,Ty) for all x,y∈C, where ...
J. O. Olaleru, H. Akewe
doaj +2 more sources
Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces
This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the ...
Sahar Mohamed Ali Abou Bakr
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Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Elagan, Sayed Khalil+1 more
core +1 more source
A Nadler-type fixed point theorem in dislocated spaces and applications
In this paper, we introduce the concept of a Hausdorff dislocated metric . We initiate the study of fixed point theory for multi-valued mappings on dislocated metric space using the Hausdorff dislocated metric and we prove a generalization of the well ...
H. Aydi+3 more
semanticscholar +1 more source
New Results and Generalizations for Approximate Fixed Point Property and Their Applications
We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and α-admissible multivalued maps. As applications of our results, some new fixed point
Wei-Shih Du, Farshid Khojasteh
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Various extensions of Kannan’s fixed point theorem
The aim of the paper is to give some extensions of Kannan’s fixed point theorem. In particular, we give some criteria of the usual functional type for the convergence of iterations generated by a Kannan-type mapping to a fixed point of the mapping.
J. Górnicki
semanticscholar +1 more source
A fixed point theorem for the infinite-dimensional simplex [PDF]
We define the infinite dimensional simplex to be the closure of the convex hull of the standard basis vectors in R^infinity, and prove that this space has the 'fixed point property': any continuous function from the space into itself has a fixed point ...
Bessaga+11 more
core +3 more sources
Banach fixed point theorem for digital images
In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Ozgur Ege, Ismet Karaca
semanticscholar +1 more source
Browder and Göhde fixed point theorem for monotone nonexpansive mappings
Let X be a Banach space or a complete hyperbolic metric space. Let C be a nonempty, bounded, closed, and convex subset of X and T:C→C$T: C \rightarrow C$ be a monotone nonexpansive mapping.
B. A. Bin Dehaish, M. Khamsi
semanticscholar +1 more source