[PDF] Top 20 An extension of the contraction mapping principle to Lipschitzian mappings
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An extension of the contraction mapping principle to Lipschitzian mappings
... L-Lipschitzian mappings are concerned with the normal structure and struc- ture of fixed point sets Fix(T) of the semigroup of uniformly L-Lipschitzian ... See full document
7
Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems
... Banach contraction mapping principle [] is the most known and crucial result in fixed point ...each contraction in a complete metric space has a unique fixed ...Banach contraction ... See full document
15
GENERALIZATION OF SELFMAPS AND CONTRACTION MAPPING PRINCIPLE IN D-METRIC SPACE.
... continuous mappings. We investigate the fixed points of continuous mappings , expansive mappings for non-selfmaps and obtain some ...self mappings S and T ... See full document
5
Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces
... Banach’s contraction mapping principle [ ] has been the source of metric fixed point theory with its wide applicability in different branches of ...contractive mapping to prove the fixed point ... See full document
8
Common fixed points of f contraction mapping with generalized altering distance function in partially ordered metric spaces
... new contraction mapping principle in partially ordered metric ...generalized contraction mappings in a complete metric space endowed with a partial ...f-contraction ... See full document
5
Edelstein type fixed point theorems
... Banach contraction mapping principle [] which states that each contraction defined on a complete metric space X has a unique fixed ...a contraction, but also showed how to evaluate this ... See full document
12
Banach contraction principle for cyclical mappings on partial metric spaces
... Observe that if the partial metric in Theorem is replaced by a metric, then we conclude that z is a fixed point. The following theorem is an extension of Theorem . in []. Theorem Let A and B be two ... See full document
7
A generalization of contraction principle
... study of contraction mappings is easier than non-expansive mapping, so this type conversion has some importance in fixed point theory... I am thankful to Dr.[r] ... See full document
6
Common Fixed Point Theorems for Weakly Compatible Mapping Satisfying Generalized Contraction Principle in Complete G-Metric Spaces
... compatible mappings satisfying a Generalized Contraction Principle condition given by (1), we establish a fixed point results in the third part of the ... See full document
12
On monotone Ćirić quasi-contraction mappings with a graph
... Banach’s contraction principle [] is remarkable in its simplicity, yet it is perhaps the most widely applied fixed point theorem in all of ...the mapping is simple and easy to test, it requires only ... See full document
11
Coupled fixed points for multivalued mappings in fuzzy metric spaces
... Banach contraction principle from single-valued mappings to multivalued mappings and proved the existence of fixed points for contractive multivalued mappings in complete metric ... See full document
10
On α-ψ-Meir-Keeler contractive mappings
... Banach contraction map- ping principle or Banach fixed-point theorem is the most celebrated and pioneer result in this direction: In a complete metric space, each contraction mapping has a ... See full document
12
The contraction principle for mappings on a modular metric space with a graph
... Theorem . [] Let (X, ) be a partially ordered set such that every pair x, y ∈ X has an upper and lower bound. Let d be a metric on X such that (X, d) is a complete metric space. Let f : X → X be a continuous monotone ... See full document
10
Some coincidence point results for generalized \((\psi,\varphi)\)-weakly contractions in ordered b-metric spaces
... Banach contraction principle by consid- ering this class of mappings in the setup of metric spaces and proved that every weakly contractive mapping defined on a complete metric space has a ... See full document
21
Some generalizations of Suzuki and Edelstein type theorems
... Theorem (Edelstein []) Let (X, d) be a compact metric space, and let T be a mapping on X. Assume d(Tx, Ty) < d(x, y) for all x, y ∈ X with x = y. Then T has a unique fixed point. Inspired by Theorem , ... See full document
11
Generalized contraction principle
... Fixed point theorems are proved for contraction maps on M-convex spaces... Fixed Point Theorems, Contraion principle, M-convex spaces..[r] ... See full document
6
Vol 8, No 7 (2017)
... These are extensions of Banach contraction principle [1] in terms of a new symmetric rational expression. Recently many other mathematicians viz. Dubey and Pathak [8], Murthy and Sharma [19], Rani and Chug ... See full document
8
Further generalized contraction mapping principle and best proximity theorem in metric spaces
... generalized contraction mapping ...generalized contraction mapping principle, a further generalized best proximity theorem was ... See full document
13
Solving systems of nonlinear matrix equations involving Lipshitzian mappings
... To apply the Banach fixed point theorem, the choice of the metric plays a crucial role. In this study, we use the Thompson metric introduced by Thompson [5] for the study of solutions to systems of nonlinear matrix ... See full document
10
Vol 8, No 4 (2017)
... Banach contraction mapping principle, appeared by Banach in ...Banach contraction principle has been widely generalized and extended a common fixed point theorem by removing the ... See full document
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