[PDF] Top 20 FIXEDPOINT THEOREMS FOR MULTIVALUED MAPPINGS ON MENGER SPACES

... and multivalued cases and various contraction conditions [3-6,9-12] on a metric ...in Menger space introduced in 1942 by Menger who was use distribution function instead of non-negative real number ... See full document

... of multivalued nonexpansive-type, k-strictly pseudocontractive-type and pseudocontractive-type mappings which are more general than the class of multivalued nonexpansive ...a multivalued ... See full document

... Theorem . Let E be a Banach space, let P be a solid not necessarily normal cone of E and let (X, d) be a cone metric space over E. Let A be a family of nonempty, ˜ closed, and bounded subsets of X and let there exists ... See full document

... Corollary 3.4. Let E be a nonempty closed convex bounded subset of a uniformly convex Banach space X, t : E → E, and T : E → KCE a single-valued and a multivalued nonexpansive mapping, respectively. Assume that t ... See full document

... compatible mappings (extended by Singh and Jain [] to probabilistic metric space) and proved common fixed-point theorems without assuming continuity of the involved mappings in metric ...fixed-point ... 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 restricted to mathematics and this ... 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

... Sannet, B, Vetro, C: Coupled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered metric spaces. doi:10.1016/j.na.2011.04.007[r] ... See full document

... We established the strong convergence theorem for fixed points of sequence for multivalued nonexpansive mappings and a zero of maximal monotone operator in Banach spaces. The results of this paper ... See full document

... The following definitions are frequently used in the subsequent part of this paper. Definition . [] Let M be a nonempty subset of an ordered Banach space X, and let S, T : M →  M be two mappings. We say that S ... See full document

... two multivalued mappings and common stationary point theorems for multival- ued mappings on bounded metric spaces are ...the theorems due to Fisher in 1979, 1980, and 1983 and ... See full document

... K− multivalued mapping as an ex- tension of Kannan mapping to multivalued ...R− multivalued mapping which is a generalization of a K− multivalued ...R− multivalued map- pings, which in ... See full document

... a Menger PM-space and ( ∗ , G ∗ , ) be the induced Menger PM-space, f , h, r : X → X and F, H, R : X → ∗ ...of mappings (f , F), (h, H), and (r, R) are said to satisfy the common property ... See full document

... 1942, Menger [8] has introduced the theory of probabilistic metric space by introducing probabilistic notion into ...point theorems on complete PM- space with an implicit ...contraction mappings in ... See full document

... In 1965, Zadeh [50] introduced the concept of fuzzy sets. Since then, to use this concept in topol- ogy and analysis, many authors have expansively developed the theory of fuzzy sets and applications. For example, ... See full document

... [10]. Sharma, Sushil, Deshpande, B. and Tiwari, R.: Common fixed point theorems for finite number of mappings without continuity and compatibility in Menger spaces, J. Korean Soc. Math. ... See full document

... convergence theorems are proved in Hilbert spaces for new classes of multivalued demicontractive-type and hemicontractive-type mappings which are related to the class of 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

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...point theorems and convergence theorems for such mappings in Banach ... See full document

... On the other hand, Hicks [2], and Hicks and Rhoades [3] started the study of existence of fixed points in symmetric spaces. Throughout this paper (X, d) be symmetric space and H denote the Hausdorff distance ... See full document