[PDF] Top 20 Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications

... Kikkawa-Suzuki-type fixed point theorem for generalized multivalued mappings considered in ...extend some previous theorems about multivalued ... See full document

... fixed point theorems with a wide range of applications in all types of anal- yses is the Banach (or Banach-Cassioppoli) contraction principle due to Banach ...its applications in mathematics ... 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 ... 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

... 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

... existence theorems in common fixed point ...integral type, giving an integral version of the Banach contraction principle, that could be extended to more general contractive ...tangent ... See full document

... 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 ... See full document

... been generalized in 7 cf. Theorem 2.1. Fixed point theorems for nonexpansive maps due to Browder 10, 11 and G ¨ohde 12 have been generalized in 6 ...Nadler’s multivalued ... See full document

... Then, for each x ∈ X, S(x) has a minimal element in S(x), where S(x) = { y ∈ X : y x } . Theorem . Let (X, d) be a cone metric space such that P is strongly minihedral and continuous, and let T : X → N(X) be a ... See full document

... of multivalued contraction maps and proved a multivalued version of the well-known Banach contraction principle, which states that each closed bounded valued contraction map on a complete metric space has a ... See full document

... Boriceanu, M, Petrusel, A, Rus, IA: Fixed point theorems for some multivalued generalized contractions in b -metric spaces.. Boriceanu, M, Bota, M, Petrusel, A: Multivalued fractals in b[r] ... See full document

... have generalized the concept of a metric space, replacing the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mapping satisfying different ... See full document

... and Suzuki 7 provide a Kannan type version of the theorems mentioned ...Ciric type version. Recently, Kikkawa and Suzuki also provide multivalued versions which can be found in ... See full document

... [1] generalized the Banach contraction principle using the commuting map concept, which is extended by Sessa [4] giving weakly commuting map concept; this again modified in [2] by compatibility ...fixed point ... 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

... derive fixed point theorems which generalize Theorem ...another fixed point theorem for multivalued ...for Suzuki-Zamfirescu type class of functional equations ... See full document

... these mappings generalized multivalued nonexpansive mappings in the sense of Suzuki or multivalued mappings satisfying the condition ...for multivalued ... See full document

... of fixed-point theory dealing with results on fixed or common fixed-points in uniform space ...contractive type mapping notice from the cited references. Also some ... See full document

... review some definitions and well- known results which will be needed in the ...four mappings. We also present some corollaries which establish the fact that our results are generalization of several ... See full document

... We first introduce the new concept of a distance called u-distance, which generalizes w-distance, Tataru’s distance, and τ -distance. Then we prove a new minimization theorem and a new fixed point theorem ... See full document