[PDF] Top 20 Fixed point theorems in spaces and -trees

... In this paper, it is shown that if U is a bounded open set in a complete CAT(0) space X, and if f : U → X is nonexpansive, then f always has a fixed point if there exists p ∈ U such that x / ∈ [p, f (x)) ... See full document

... We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a ... 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

... 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

... 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

... Motivated by the above, we introduce a new concept, named Chatterjea mapping. The condition () of this concept is weaker than (). It is meaningful to study Chatterjea map- ping because the concept of nonspreading ... See full document

... 47H10, 54H25 INTRODUCTION AND PRELIMINARIES Recently, a number of fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces have been proved by many[r] ... See full document

... etc. Fixed point theorems, involving four self-maps, began with the assumption that they are ...coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy ... See full document

... Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian ...coincidence theorems for monotone mappings in partially ordered metric ... See full document

... common fixed point theorem generally involves conditions on commutatively, continuity, completeness together with a suitable condition on containment of ranges of involved mappings by an appropriate ... See full document

... A generalization of the metric space can be obtained as a partial-metric space by replacing the condition d(x, x) =  with the condition d(x, x) ≤ d(x, y) for all x, y in the definition of the metric. In the year , ... See full document

... Recently A.Tallafha and R. Khalil [29] , defined a space which is a mixture of analysis and topology, namely semi-linear uniform space. Semi-linear uniform space is weaker than metric space and stronger than topological ... See full document

... metric spaces and studied some fixed point theorems for nonexpansive mappings in such ...fixed point theorems in convex metric ...fixed point for self-mappings defined on a nonempty ... See full document

... In this section, we recall some concepts of ordered sets and some properties of order- limits. For more details, the readers are referred to [–]. Then we extend the concept of order-continuity of mappings on ordered ... See full document

... Definition 2.5([6]) Assume that the set X is nonempty and H, G : X → X . If w = Hx = Gx, x,w ∈ X, then x, w are called a coincidence point of H and G and a point of coincidence of H and G, respectively. ... See full document

... Fixed point theorems are proved for contraction maps on M-convex spaces... Fixed Point Theorems, Contraion principle, M-convex spaces..[r] ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...metric spaces ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... metric spaces which are very similar to Menger ...metric spaces as a generalization of fuzzy metric spaces due to George and Veeramani ...Menger spaces as a generalization of Menger ... See full document

... metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran ... See full document