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Random fixed point

Some nonunique random fixed point theorems in Polish spaces

Some nonunique random fixed point theorems in Polish spaces

... Abstract. In this paper, we prove the existence of some nonunique random fixed point theorems for random mappings in the context of separable complete G-metric spaces. Our study includes the ...

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Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self mappings

Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self mappings

... a random map if and only if for each fixed x Î F, the mapping T(·, x): Ω ® F is measurable, and it is continuous if for each ω Î Ω, the mapping T(ω, ·): F ® X is ...the random fixed ...

7

Common random fixed point results with application to a system of nonlinear integral equations

Common random fixed point results with application to a system of nonlinear integral equations

... Fixed point theory has the diverse applications in different branches of mathematics, statistic, engineering, economics and many other ...science. Random fixed point theory is very ...

8

Common Random Fixed Point of Asymptotically Regular Mappings in Polish Spaces

Common Random Fixed Point of Asymptotically Regular Mappings in Polish Spaces

... Keywords -- Random Multivalued Operator, Asymptotically Regular, Random Fixed Point, Measurable Mapping.. INTRODUCTION.[r] ...

7

Application of random fixed point theorems in solving nonlinear stochastic integral equation of the Hammerstein type

Application of random fixed point theorems in solving nonlinear stochastic integral equation of the Hammerstein type

... of random fixed point theory lies in its vast applicability in probabilistic functional analysis and various probabilistic ...of random solutions. It is well known that random ...

6

Random fixed point theorems for multi valued contraction mappings in complete metric space

Random fixed point theorems for multi valued contraction mappings in complete metric space

... proved some fixed point theorems in complete metric space. Also we use new multi-valued contractive conditions which are different from previous conditions. Using these conditions some random ...

5

Random fixed point theorems for asymptotic 1 set contraction operators

Random fixed point theorems for asymptotic 1 set contraction operators

... Introduction. Random fixed point theorems are stochastic versions of (classi- cal or deterministic) fixed point theorems and are required for the theory of random ...of ...

6

A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces

A Common Random Fixed Point Theorem for Weakly Compatible Mappings in Cone Random Metric Spaces

... two random mappings and estab- lish a unique random fixed point results under this condition in random cone metric spaces using the concept of weakly random compatible ...

8

RANDOM FIXED POINT THEOREMS FOR GENERALIZED RANDOM CONTRACTIVE MAPPINGS WITH APPLICATIONS TO STOCHASTIC DIFFERENTIAL EQUATION

RANDOM FIXED POINT THEOREMS FOR GENERALIZED RANDOM CONTRACTIVE MAPPINGS WITH APPLICATIONS TO STOCHASTIC DIFFERENTIAL EQUATION

... called random operator whenever, for any x ∈ M, f (·, x) is ...a random fixed point of f is Σ−measurable mapping z : Ω × M such that z(ω) = f (ω, z(ω)) for all ω ∈ ...

10

Random fixed point theorem on a Ćirić-type contractive mapping and its consequence

Random fixed point theorem on a Ćirić-type contractive mapping and its consequence

... some random fixed point theorems in a separable Banach space equipped with a complete probability measure for a certain class of contractive ...fixed point theorems of Ćirić ...a random ...

18

Random Fixed Point TheoremsIn Metric Space

Random Fixed Point TheoremsIn Metric Space

... Fixed point theory is one of the most dynamic research subjects in nonlinear ...fixed point. In fact, Banach demonstrated how to find the desired fixed point by offering a smart ...

9

Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type

Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type

... contraction random operators and proved some interesting random fixed point theorems for this kind of random opera- tors in separable Banach ...generalized random operator and proved ...

24

Random fixed point theorems in partially ordered metric spaces

Random fixed point theorems in partially ordered metric spaces

... By the same method as used in Theorem ., we can easily prove the following result. Theorem . Let (, U ) be a measurable space, X be a real separable complete generalized metric space with partial ordering and F : × X ...

19

Random fixed point theorem of Krasnoselskii type for the sum of two operators

Random fixed point theorem of Krasnoselskii type for the sum of two operators

... a random operator if for each fixed x ∈ M, the operator T (·, x) : → X is ...a random fixed point of a random operator T : × M → X if ξ (ω) ∈ M and T (ω, ξ (ω)) = ξ (ω) for all ω ∈ ...

10

A Common Unique Random Fixed Point Theorem With Rational Inequality In Hilbert Space

A Common Unique Random Fixed Point Theorem With Rational Inequality In Hilbert Space

... We prove a new common fixed point theorem with rational inequality for two random operators defined on a non- empty closed subset of a separable Hilbert Space.. Our results generalize a[r] ...

5

Random fixed point theorems under mild continuity assumptions

Random fixed point theorems under mild continuity assumptions

... 5 Random fixed point theorems for upper semicontinuous correspondences The main aim of this section is to provide a new proof for the random version of Ky Fan’s fixed point ...

14

Some Fixed Point Theorems for Convex Metris Space taking Random Operator

Some Fixed Point Theorems for Convex Metris Space taking Random Operator

... of fixed points of random operators forms a central topic in this ...interesting random fixed point results and several applications have appeared in the literature; for example the ...

8

Fixed point theorems in cone random metric spaces

Fixed point theorems in cone random metric spaces

... Random fixed point theorem for contraction mappings in polish spaces and random fixed point theorems are of fundamental importance in probabilistic functional ...common ...

9

Fixed Point Theorems for Random Lowersemi-continuous Mappings

Fixed Point Theorems for Random Lowersemi-continuous Mappings

... in Random Fixed Point Theory by introducing a condition named P which was inspired by some of Petryshyn’s work, and then we apply our result to prove some random fixed points theorems, ...

7

Fixed Point Results Related To Compatible Mappings In Random Fuzzy Metric Spaces

Fixed Point Results Related To Compatible Mappings In Random Fuzzy Metric Spaces

... of fixed points of random operators forms a central topic in this ...interesting random fixed point results and several applications have appeared in the literature; for example the ...

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