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[PDF] Top 20 A pointwise contraction criteria for the existence of fixed points

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A pointwise contraction criteria for the existence of fixed points

A pointwise contraction criteria for the existence of fixed points

... In a recent paper [2], Clarke introduced the notion of lower derivative.. cient conditions for a continuous mapping.[r] ... See full document

8

Existence and Approximation of Fixed Points for Set-Valued Mappings

Existence and Approximation of Fixed Points for Set-Valued Mappings

... both existence and approximation of fixed points for certain set-valued mappings of contractive ...the existence of convergent iterations in the presence of computational errors for two ... See full document

10

Variational relation problems: existence of solutions and fixed points of contraction mappings

Variational relation problems: existence of solutions and fixed points of contraction mappings

... Let us now consider the case when the function g is affine, that is, g(y) = Cy + c, where C is a k × m matrix, c is a k vector, and the graph of T is a convex polyhedral set, that is, y ∈ T (x) if and only if x and y solve ... See full document

10

Existence of fixed points for Θ-type contraction and Θ-type Suzuki contraction in complete metric spaces

Existence of fixed points for Θ-type contraction and Θ-type Suzuki contraction in complete metric spaces

... Let (X, d) be a complete metric space and T : X → X be a mapping. If there exists k ∈ (, ) such that for all x, y ∈ X, d(Tx, Ty) ≤ kd(x, y), then T is said to be a contractive mapping. In , Polish mathematician ... See full document

12

Existence and Data Dependence of Fixed Points and Strict Fixed Points for Contractive-Type Multivalued Operators

Existence and Data Dependence of Fixed Points and Strict Fixed Points for Contractive-Type Multivalued Operators

... [15] I. A. Rus, A. Petrus¸el, and A. Sˆınt˘am˘arian, “Data dependence of the fixed point set of some multivalued weakly Picard operators,” Nonlinear Analysis, vol. 52, no. 8, pp. 1947–1959, 2003. Cristian Chifu: ... See full document

8

New criteria for the existence of non-trivial fixed points in cones

New criteria for the existence of non-trivial fixed points in cones

... Remark . We stress that the above theorems can be combined to prove the existence of multiple fixed points. The idea is to use a nesting argument similar to those utilized, for example, in [, ], where ... See full document

12

Common fixed points for pointwise Lipschitzian semigroups in modular function spaces

Common fixed points for pointwise Lipschitzian semigroups in modular function spaces

... the pointwise asymptotic ...that existence of semigroups of nonexpansive mappings in modular function spaces was discussed by Khamsi [] in the context of Musielak-Orlicz spaces and discussed applications ... See full document

13

Fixed points of multivalued contraction mappings in modular metric spaces

Fixed points of multivalued contraction mappings in modular metric spaces

... the existence of fixed points for contractive-type multivalued maps in the setting of modular metric ...the existence of fixed points of multivalued modular contractive mappings in modular ... See full document

10

Coupled fixed points of generalized Kanann contraction and its applications

Coupled fixed points of generalized Kanann contraction and its applications

... the existence of a coupled fixed point for f : X × X → X under the generalized Kanann type contractivity condition and establish the uniqueness under an additional assumption on the metric ...coupled ... See full document

10

On some extensions of Banach's contraction principle and applications to the convergence and stability of some iterative processes

On some extensions of Banach's contraction principle and applications to the convergence and stability of some iterative processes

... After around twenty years, two surprising results due respectively to Browder [10] and Kirk [23] appeared and revolutionized the theory by showing the role played by the geometry of Banach spaces in the existence ... See full document

16

An improvement of known unique common fixed point theorems for four mappings on multiplicative metric spaces

An improvement of known unique common fixed point theorems for four mappings on multiplicative metric spaces

... multiplicative contraction mappings on multiplicative metric spaces and obtained several existence theorems of fixed points; in 2013, He et al [6] proved some existence theorems of ... See full document

12

Common fixed points of generalized contraction maps in metric spaces

Common fixed points of generalized contraction maps in metric spaces

... In a similar way, under the assumption (ii), we can obtain the existence of common fixed point of A, B, S and T . Uniqueness of common fixed point follows from the inequality (3.1). Theorem 3.7. Let ... See full document

34

Common fixed point and invariant approximation in hyperbolic ordered metric spaces

Common fixed point and invariant approximation in hyperbolic ordered metric spaces

... common fixed point theorem for four mappings defined on an ordered metric space and apply it to find new common fixed point ...The existence of common fixed points is established for ... See full document

14

Common fixed points of Geraghty-Berinde type contraction maps in partial metric spaces

Common fixed points of Geraghty-Berinde type contraction maps in partial metric spaces

... type contraction maps for a pair of maps in partial metric spaces and prove the existence of common fixed points in which the pair is weakly compatible and restricting the completeness of X to ... See full document

21

Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces

Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces

... some fixed point theorems in the projective tensor product ) of two Banach spaces X and ...the existence and the uniqueness of the fixed point of T in the closed unit ball of ... See full document

8

Fixed points of generalized contraction maps in metric spaces

Fixed points of generalized contraction maps in metric spaces

... Banach contraction principle, some generalizations of contraction condition was obtained in ( [7] - [10], [13] ...new contraction map, namely JS-contraction map and proved the existence ... See full document

21

Common Fixed Points for Multimaps in Metric Spaces

Common Fixed Points for Multimaps in Metric Spaces

... asymptotic pointwise nonexpansive mapping was introduced and studied in 1, ...asymptotic pointwise nonexpansive mappings and existence of fixed points for multivalued nonexpansive ... See full document

14

Common fixed points for weak contraction occasionally weakly biased mappings

Common fixed points for weak contraction occasionally weakly biased mappings

... Alber and Guerre- Delabriere[2] defined the concept of weakly contractive mapping on Hilbert spaces and proved the existence of fixed points. Rhoades [11] showed that most re- sults of Alber and ... See full document

10

Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph

Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph

... Abstract. Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, ϕ)-graphic contractions ... See full document

14

Approximating common fixed points of semigroups in metric spaces

Approximating common fixed points of semigroups in metric spaces

... the existence of common fixed points for semi- groups of nonlinear mappings acting in metric ...for pointwise contractions, asymptotic pointwise contractions, pointwise nonexpansive and ... See full document

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