[PDF] Top 20 Comments on some recent generalization of the Banach contraction principle
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Comments on some recent generalization of the Banach contraction principle
... Remark Let (X, d) and T be as in Definition . Put Y = X × X and define h and S by h((x, y)) = d(x, y) and S(x, y) = (Tx, Ty). Then the concept of Browder contraction in Defi- nition becomes that in Definition and ... See full document
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Some fixed point theorems in complete partial b-metric spaces
... a generalization of usual metric space. Also he generalized the Banach contraction principle in the context of complete partial metric ... See full document
18
A Review article on some generalizations of Banach’s contraction principle
... A Review article on some generalizations of Banach’s contraction principle Sujata Goyal Assistant professor, Dept... International Research Journal of Engineering and Technology IRJET.[r] ... See full document
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3. Fixed point theorems in $N$-polygonal cone metric spaces
... two recent papers on rectangular cone metric space ([2] and [16]), we unify various results deal with generalizations of the Banach’s Contraction Prin- ...cone contraction following some ideas ... See full document
14
A Generalized Metric Space and Related Fixed Point Theorems
... new generalization of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...of some known fixed point ... See full document
7
Edelstein type fixed point theorems
... the 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 ... See full document
12
Banach contraction principle for cyclical mappings on partial metric spaces
... The Banach contraction mapping principle is considered to be the core of many extended fixed point ...this principle to these spaces (see [–]). How- ever, the contraction type ... See full document
7
On some fixed point theorems for ψ contraction on metric space involving a graph
... with some general structures by using the context of metric spaces endowed with a ...proved some generalizations of the Banach Contraction Principle to mappings on a metric space ... See full document
10
A new generalization of the Banach contraction principle
... the Banach contraction principle, appeared in explicit form in Banach’s thesis in [], where it was used to establish the exis- tence of a solution to an integral ...This principle states ... See full document
8
On α-ψ-Meir-Keeler contractive mappings
... mathematics. 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 ... See full document
12
Contraction conditions using comparison functions on b-metric spaces
... The concept of b-metric spaces was introduced by Bakhtin [] in , who used it to prove a generalization of the Banach principle in spaces endowed with such kind of metrics. Since then, this ... See full document
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Further generalizations of the Banach contraction principle
... 20. Sarama, IR, Rao, JM, Rao, SS: Contractions over generalized metric spaces. J. Nonlinear Sci. Appl. 2(3), 180-182 (2009) 21. Tarafdar, E: An approach to fixed point theorems on uniform spaces. Trans. Am. Math. Soc. ... See full document
9
A common fixed point theorem of Presic type for four maps in G-metric spaces
... various generalization of Banach contraction principle, Presic [22] in 1965 gave a contractive condition on finite product of metric spaces and proved a fixed point ...proved some fixed ... See full document
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GENERALIZATION OF SELFMAPS AND CONTRACTION MAPPING PRINCIPLE IN D-METRIC SPACE.
... to Banach fixed point theorem ( 1922 ...the generalization of the Banach fixed point theorem using contraction and non expansive mappings Pant [15], Fisher B [ 6], Rhoades ...obtain ... See full document
5
Common fixed point theorems for nonlinear contractions in a Menger space
... the contraction condition in a metric space may be exactly translated into a probabilistic metric space endowed with min ...a generalization of the Banach contraction principle on a ... See full document
10
Fixed Point Theorems for Kannan Contractions and Weakly Contractive Mappings on a Modular Metric Space Endowed with a Graph
... of Banach contraction principle in modular metric ...gave generalization of Banach contraction principle on a modular metric space endowed with a graph which is the ... See full document
9
Jungck type fixed point results for weakly compatible mappings in a rectangular soft metric space
... Soft set theory, which was asserted by Molodtsov [12] in 1999, contains alternative tools for state mathematical problems with different viewpoint. The theory has many applica- tions in engineering, modeling problems, ... See full document
14
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
Fixed point theorems of ordered contractive mappings on cone metric spaces over Banach algebras
... In this paper, the concept of ordered contractive mappings is introduced on cone metric spaces over Banach algebras, and some existence theorems of fixed points for such mappings are obtained. As an ... See full document
13
TF type contractive conditions for Kannan and Chatterjea fixed point theorems
... Choudhury, A generalization of contraction principle in metric spces, Fixed Point Theory Appl 2008 (2008), Article ID 406368... Karapınar, Fixed point theory φ −contraction.[r] ... See full document
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