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[PDF] Top 20 Some applications of fixed point theorems

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Some applications of fixed point theorems

Some applications of fixed point theorems

... Then f i is contraction and one of the following holds for each i. Either (i) f i has a unique fixed point or (ii) there is a t ∈ (0, 1) such that x i = t f i x i for x ∈ ∂C. In case (i) holds, then x i = f ... See full document

8

On Fixed Point Theorems and their Applications (

On Fixed Point Theorems and their Applications (

... he fixed point theorems concern maps f of a set X into itself that, under certain conditions, admit a fixed point, that is, a point x ∈ X such that f(x) = ...of fixed ... See full document

7

Some fixed point theorems for multivalued maps in ordered Banach spaces and applications

Some fixed point theorems for multivalued maps in ordered Banach spaces and applications

... minimal fixed points for various set-valued operators is ...presents some new fixed point theorems in ordered Banach ...the fixed point to a class of mul- tivalued maps ... See full document

13

Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications

Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications

... a fixed point theorem for generalized multivalued mappings of Ćirić (Matematićki Vesnik, 9(24), 265-272, ...contractions. Applications to certain functional equations arising in ... See full document

8

Common fixed point theorems for multimaps in locally convex spaces and some applications

Common fixed point theorems for multimaps in locally convex spaces and some applications

... Fixed point theorems have been studied by many ...fixed point theorem is the contraction mapping ...fixed point theorems arose in different ...fixed point theorems have ... See full document

7

Some applications via common quadruple fixed point theorems in G-metric spaces

Some applications via common quadruple fixed point theorems in G-metric spaces

... quadruple fixed point of R, T, S, g, f and ...quadruple fixed point in P ...quadruple fixed point (α 0 , β 0 , γ 0 , ω 0 ) of R, S, T, g, h, f ... See full document

30

Common fixed point theorems and applications

Common fixed point theorems and applications

... By setting px, y px in Theorem 3.5, we have the following: COROLLARY :}.6 Let X,.T’ be a probabilistic quasi-metric space and let S and T be two commuting self-mappings of X.. If these c[r] ... See full document

6

On Fixed Point Theorems and Their Applications (

On Fixed Point Theorems and Their Applications (

... ( ' ) k ∈ L 1 (α, β)). Then there exists a unique solution x ∈ C 1 (I,X) to the Cauchy problem 3.2, for every I ⊂ (α, β). proof :Proceed like in the proof of Theorem 3.3, taking now Z = C(I,X).When f is merely continuous ... See full document

7

Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces

Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces

... of fixed points of functions satisfying certain contractive conditions has been at the center of vigorous research activity, for example see 1–5 and it has a wide range of applications in different areas ... See full document

11

Some Fixed Point Theorems for Expansion Mappings

Some Fixed Point Theorems for Expansion Mappings

... common fixed point for expansion ...the fixed point theory in the fuzzy metric ...time some metric fixed point results were generalized to fuzzy metric spaces by various ... See full document

5

Common Fixed Point Theorems for a Finite Family of Discontinuous and Noncommutative Maps

Common Fixed Point Theorems for a Finite Family of Discontinuous and Noncommutative Maps

... common fixed point theorems for a finite family of discontinuous and noncommutative single-valued functions defined in complete metric ...common fixed point theorem for two multivalued ... See full document

19

Modular Cone Metric Spaces

Modular Cone Metric Spaces

... have applications in applied mathematics and optimization theory ...Recently, some authors have studied cone metric spaces over solid topological vector spaces and fixed point theorems ... See full document

6

Remarks on some recent fixed point theorems

Remarks on some recent fixed point theorems

... coincidence point) such that fx = gx, that is, F(x, x) = ...common fixed point, that is, there exists a unique u Î X such that u = gu = fu = F (u, ... See full document

6

On some fixed point theorems in Banach spaces

On some fixed point theorems in Banach spaces

... This states that a non-expansive self-mapping of bounded, closed and convex subset possessing normal structure in a reflexive Banach space has a fixed point... The interest in this resul[r] ... See full document

10

Some fixed point theorems for compatible maps

Some fixed point theorems for compatible maps

... The preceding may suggest to the reader that any metric space fixed point theorem for commuting mappings obtained by using contractive conditions" can be generalized by substituting the [r] ... See full document

12

Some fixed point theorems for nonconvex spaces

Some fixed point theorems for nonconvex spaces

... We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prov[r] ... See full document

5

2. New Fixed-Circle  Results on $S$-Metric Spaces

2. New Fixed-Circle Results on $S$-Metric Spaces

... a fixed circle have been defined on metric and S- metric spaces in [5] and [6], ...investigate some fixed- circle theorems on various metric spaces to obtain new generalizations of known ... See full document

14

Discussion on some coupled fixed point theorems

Discussion on some coupled fixed point theorems

... established some coupled fixed point theorems on ordered metric spaces and applied the obtained results to the study of existence and uniqueness of solutions to a class of periodic boundary value ... See full document

12

Coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy metric space

Coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy metric space

... etc. Fixed point theorems, involving four self-maps, began with the assumption that they are ...introduce some coupled fixed point theorems for occasionally weakly ... See full document

19

SOME EXTENSIONS OF RHOADES FIXED POINT THEOREMS

SOME EXTENSIONS OF RHOADES FIXED POINT THEOREMS

... a fixed point for the mapping defined on product of metric spaces which are uniformly continuous and also contraction in the first ...in some contractive conditions of ... See full document

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