[PDF] Top 20 Some nonunique random fixed point theorems in Polish spaces

... of some nonunique random fixed point theorems for random mappings in the context of separable complete G-metric ...G-metric spaces, G-metric spaces with two ... See full document

... present some local nonumique random fixed point theorems for random mappings in a separable complete metric space satisfying certain Dhage type contractive ...nnonunique ... See full document

... of random α−admissible and random α − ψ−contractive mappings and established random fixed point ...prove some random fixed point theorems for gener- ... See full document

... corresponding theorems of Rhoades [11] for a pair of mapping in which one is weakly contractive with respect to the other which is further generalized by Azam and Shakeel [3] in convex metric ...obtained ... See full document

... Random fixed point theorem for contraction mappings in polish spaces and random fixed point theorems are of fundamental importance in probabilistic ... See full document

... Nonlocal boundary value problems arise in many applied sciences. For example, the vibra- tions of a guy wire of uniform cross section and composed of N parts of different densities, and some problems in the theory ... See full document

... Before obtaining an extension of Bharucha-Reid 5, Theorem 3.7, we define a contraction mapping for metric spaces. Let X be a metric space, and let Ω be a measurable space. A random operator T : Ω × X → X is ... See full document

... Now we prove the following theorem which plays an important role in the sequel. Theorem 2.3. Let X, d, φ be an ordered Polish space and Ω, A, P a measure space, where φ is continuous. Let T : Ω × X → X be an order ... See full document

... s’s theorems to multivalued contraction mappings. Random fixed point theorems with an application to Random differential equations in Banach spaces are obtained by Itoh ... See full document

... obtained random fixed point theorems with an application to random differential equations in Banach ...a random version of Schauder’s fixed point theorem on an ... See full document

... of fixed point of random operator forms a central topic in this ...area. Random fixed point theorem for contraction mappings in Polish spaces and random ... See full document

... a point 𝑥 ∈ 𝑋 is called a coincidence point of the pair of self-mappings (𝑓, 𝑔) defined on 𝑋 if 𝑓𝑥 = 𝑔𝑥(= 𝑤) while the point 𝑤 is then called a point of coincidence for the pair (𝑓, ...common ... See full document

... 9 | P a g e Let (X,d) be a Polish Space, that is a separable complete metric space, and let (Ω, ) be a measurable space. Let be a family of all subset of X and CB(X) denote the family of all non- empty bounded ... See full document

... Random fixed point theorems are stochastic generalization of classical fixed point ...known fixed point theorems, thereafter; various stochastic aspects of ... See full document

... Corollary 2.4. Let A, S be a pair of self mappings of a fuzzy metric space X, M, ∗ such that A, S satisfies the property (E.A.), A is a fuzzy contraction with respect to S and SX is a closed subset of X. Then, the pair ... See full document

... study some fixed-circle theorems on S- metric ...S-metric spaces and investigate some relationships between circles on metric and S-metric ...investigate some existence and ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...such spaces, we ... See full document

... With the same arguments as in the proof of the theorem 2.2, we obtain: Theorem 2.3. Let (X, d) and (Y, δ) be two metric spaces such that (X, d) is com- plete; and let T : X → Y, S : Y → X two mappings such that ... See full document

... Since H(., 0) has a quadruple fixed point in U 4 , we have that (0, 0, 0, 0) ∈ X 4 . So that X is non- empty set. Now we show that X is both closed and open in [0, 1] and hence by the connectedness X = [0, ... See full document