Banach contraction principle
Further generalizations of the Banach contraction principle
... the Banach contraction principle, appeared in an explicit form in Banach’s thesis in [], where it was used to establish the exis- tence of a solution to an integral ...This principle ...
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The Banach contraction principle in \(C^{*}\)-algebra-valued b-metric spaces with application
... We introduce the notion of a C ∗ -algebra-valued b-metric space. We generalize the Banach contraction principle in this new setting. As an application of our result, we establish an existence result ...
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A new generalization of the Banach contraction principle
... The Banach contraction principle has been generalized in many ways over the ...the Banach fixed-point theorem from single-valued maps to set-valued contractive ...
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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 ...
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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 ...
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Existence and uniqueness of solutions for delay boundary value problems with p-Laplacian on infinite intervals
... Finally, by the Banach contraction principle, the mapping M : → has a unique fixed point x ∈ having the expression (.), which coincides with (.). It follows from Lemma . that x is the unique ...
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Several fixed point theorems concerning -distance
... nan’s fixed point theorem is not an extension of the Banach contraction principle. We also know that a metric space X is complete if and only if every Kannan mapping has a fixed point, while there ...
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3. Relation-theoretic contraction principle in metric-like spaces
... Hitzler [13], proved an interesting extension of the Banach contraction principle by introducing dislocated metric spaces. Here, it can be pointed out that dislocated metric spaces are also sometimes ...
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Characterization of Multiplicative Metric Completeness
... generalized Banach contraction principle in multiplicative metric spaces and characterize completeness of the underlying multiplicative metric ...
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Some generalizations of Suzuki and Edelstein type theorems
... In , Suzuki [] introduced a new type of mapping and presented a generalization of the Banach contraction principle in which the completeness can also be characterized by the existe[r] ...
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FIXED POINT THEOREMS FOR GENERALIZED ( ; ')-WEAK CONTRACTIONS
... the Banach contraction principle [1], which assures that every contraction T from a complete metric space X into itself has a unique fixed ...of Banach contraction ...
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Some coincidence point results for generalized \((\psi,\varphi)\)-weakly contractions in ordered b-metric spaces
... the 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 unique ...
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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 ...the Banach contraction principle on a complete Menger space, which ...
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Coupled fixed points for multivalued mappings in fuzzy metric spaces
... famous Banach contraction principle from single-valued mappings to multivalued mappings and proved the existence of fixed points for contractive multivalued mappings in complete metric ...the ...
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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 ...of Banach contraction principle on a modular metric space endowed with a graph which is the modular metric version of ...
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Rectangular cone b-metric spaces over Banach algebra and contraction principle
... a Banach algebra (in short RCbMS-BA) and proved the Banach contraction principle and weak Kannan contraction principle in this ...
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Fixed point theorems of ordered contractive mappings on cone metric spaces over Banach algebras
... the Banach contraction principle to a more general form, Liu and Xu [, ] introduced the concept of cone metric spaces over Banach algebras by replacing Banach spaces with ...
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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 ...
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3. Fixed point theorems in $N$-polygonal cone metric spaces
... of Banach Contraction Principle for contractions on vector- valued metric spaces by Perov in 1964 ([21]), the notion of cone metric space over an ordered Banach space (also called K-metric ...
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Contraction conditions using comparison functions on b-metric spaces
... with constant s = . Consider mappings T , S : X → X, Tx = x, Sx = x, and the compari- son function ϕ : [, +∞) → [, +∞), ϕ(t) = t+ t . Clearly, (X, d) is a complete metric space, and S is continuous with ...
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