[PDF] Top 20 On random coincidence and fixed points for a pair of multivalued and single valued mappings

... Random fixed point theorems are stochastic generalizations of classical fixed point the- ...orems. Random fixed point theorems for contraction mappings on separable complete ... See full document

... Finally, we give a simple example in support of Theorem 3.1. and Corollary 3.3 which shows that these results are actually an improvement of the result of Itoh[11]. Example 3.6. Let (X, d) be any measurable space and K = ... See full document

... of random fixed point theory was initiated by the Prague school of proba- bilists in the 1950s [12, 13, ...26]. Random fixed point theorems are stochastic general- ization of classical ... See full document

... common fixed points for single-valued mappings and multivalued nonexpansive mappings, respectively, as follows Theorem ...a single-valued and a ... See full document

... Random fixed point theorems are of fundamental importance in probabilistic functional ...classical fixed point theorems and are required for the theory of random ...space random ... See full document

... of single-valued mappings in partial metric ...for multivalued map- pings in partial metric ...fixed points of contractive-type multival- ued mappings on partial metric spaces ... See full document

... The aim of this paper is to define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid ... See full document

... formulation, see Definition . below, and for some further results in this field, see the ref- erences in []. Let us note that this definition significantly differs from all the other defini- tions for multivalued ... See full document

... of multivalued nonexpansive mappings is harder than the corresponding theory of single valued nonexpansive ...the fixed points of multivalued nonexpansive ... See full document

... from single-valued mappings to multivalued mappings and proved the existence of fixed points for contractive multivalued mappings in complete metric ...fixed ... See full document

... paper coincidence and fixed point theorems for a pair of single-valued and multi-valued compat- ible mappings on complete partial metric spaces are ...compatible ... See full document

... Sadovskii fixed point theorems to obtain our main results under some appropriate ...type single valued mappings provides techniques for solving a variety of applied problems in mathematical ... See full document

... common fixed points for a commuting pair consisting of a single-valued and a multivalued mapping both satisfying the Suzuki condition in a uniformly convex Banach ...a ... See full document

... coupled fixed point of a mapping F from X ×X to X and established some coupled fixed point theorems in par- tially ordered ...common fixed point theorems for mappings satisfying nonlinear ... See full document

... of single-valued and multi-valued mappings on an arbitrary non-empty set with values in a partial metric space using a partial Hausdorff metric have been ... See full document

... [12] N. Negoescu, Observations sur des paires d’applications multivoques d’un certain type de contractivité [Remarks on pairs of multivalued maps with a certain type of con- tractivity], Bul. Inst. Politehn. Ia¸si ... See full document

... set-valued mappings and obtained coupled coincidence points and coupled common fixed point theorems involving a hybrid pair of single-valued and multi-valued maps ... See full document

... Proof of Lemma 3.2. Let 0 ≤ k < 1 be the contraction constant of T and let ε > 0 be such that ε k 2ε1 ε < 1. Let M {x, z : z ∈ Tx, x ∈ C} and define a metric ρ on M by ρx, z, u, v max {dx, u, dz, v}. It is easy ... See full document

... This scheme has been studied by several authors [–] with respect to various classes of mappings in different classes of spaces. All the authors proved their results with the end-point condition Tw = w for all w ... See full document

... [9] G. Jungck, S. Radenovic, S. Radojevic and V. Rakocevic, “Common fixed point theorems for weakly compatible pairs on cone metric spaces,” Fixed Point Theory Appl., vol. 13, Article ID 643840, 2009. [10] ... See full document