[PDF] Top 20 Best proximity point theorems via fixed point theorems for multivalued mappings

... Let X be any nonempty set and T : X → X be a given mapping. A point x ∈ X such that x = Tx is called a fixed point of T . Many problems can be reformulated to the problem of finding a fixed point of a ... See full document

... some fixed point theorems for multivalued mappings in the setting of symmetric spaces generalizing some well-known results in metric ... See full document

... single-valued mappings defined by Redjel et ...)-Meir-Keeler-Khan multivalued mappings is presented. Fixed point theorems and endpoints theorems are established on such ... See full document

... common fixed point theorems for multivalued mappings in complete metric spaces, then these theorems are used to improve ´ Ciri´ c’s fixed point theorem [1], ... See full document

... Corollary 2.3 is the generalization fixed point theorem [4]. Corollary 2.3 also is the generalization of the Theorem 3.1 of Enjouji et al. [14], since by symmetry, the inequality (3.3) in [14] implies the ... See full document

... In  Cho and Bae [] generalized a Mizoguchi Takahashi-type theorem in a cone metric space. In the present paper, we introduce the notion of Hausdorff distance function on G-cone metric spaces and exploit it to study ... See full document

... Fixed point theory plays a basic role in applications of various braches of mathematics, from elementary calculus and linear algebra to topology and ...analysis. Fixed point theory is not ... 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 fixed point theorem for ... See full document

... some fixed point theorems for mapping satisfying different contractive ...a fixed point with contractive constant in Cone metric space, see [2],[8],[9],[10] and ...certain fixed ... See full document

... Takahashi, “Fixed point theorems for multivalued mappings on complete metric spaces,” Journal of Mathematical Analysis and Applications , vol. Reich, “Fixed points of contractive functio[r] ... See full document

... of fixed-point theory dealing with results on fixed or common fixed-points in uniform space ...some fixed-point and coupled fixed-point theorems in partially ... See full document

... Fixed point theory in CAT(0) spaces was first studied by Kirk ...a fixed point. Since then the fixed point theory for single-valued and multivalued mappings in ... See full document

... Some new coincidence point and fixed point theorems for multivalued mappings in complete metric space are proved.. KEY WORDS AND PHRASES: Multivalued mapping, coincidence point, and fixe[r] ... See full document

... contraction mappings for non-self version and establish a best proximity point of such mappings in metric spaces via prop- erty UC ∗ due to Sintunavarat and Kumam ...investigate ... See full document

... In this paper, we establish a fixed-point theorem for multivalued contractive mappings in complete cone metric spaces. We generalize Caristi’s fixed-point theorem to the case of ... See full document

... a fixed point in X ...proved fixed point theorems for multivalued mappings satisfying generalized contractive conditions in ordered generalized metric ... See full document

... a best proximity point theorem guarantees the global minimization of d(x, Tx) by the re- quirement that an approximate solution x satisfies the condition d(x, Tx) = d(A, ...called best ... See full document

... fixed point of T . The idea of the best proximity point theory is to determine an approximate solution x such that the error of equation d(x, Tx) =  is ...a best proximity ... See full document

... [] presented the concept of multivariate best proximity point and proved the multivariate best proximity point theorems in metric spaces for N -variables contraction mappings.. [] pr[r] ... See full document

... a fixed point of a given map T : A → B if T x = ...a fixed point of T ...of fixed points of T is ...x. Best proximity point analysis has been developed in this ... See full document