[PDF] Top 20 Some fixed point theorems for nonconvex spaces

... We give a theorem for nonconvex topological vector spaces which yields the classical fixed point theorems of Ky Fan, Kim, Kaczynski, Kelly and Namioka as immediate consequences, and prov[r] ... See full document

... obtained some fixed point theorems for mappings satisfy- ing different contractive ...2007, fixed point results for cone metric spaces were studied by many other authors; ... See full document

... which means D(Fx, Fy) ≥ KD(Tx, Ty), where K =  > s = . Therefore all the required hy- potheses of Corollary . are satisfied, hence F and T have a unique point of coincidence, in fact,  is the unique ... See full document

... In this paper, we establish the structure of Menger PbM-spaces as a generalization of Menger PM-spaces. We present some fixed point theorems for a new class of contractive mappings in ... See full document

... each ω ∈ Ω. The G-metric space X is called T (ω )-orbitally complete if every Cauchy sequence of measurable functions {x n } in O (x;T (ω)) converges to a measurable function x on Ω into X . The following theorem is ... See full document

... proved some common fixed point theorems for (ψ , F, α , β ) − weakly contractive mappings in rectangular metric spaces via new ...presented some common fixed point ... See full document

... Remark 22 . The notion of asymptotic weak commutativity for a pair of self-maps on a 2-metric space introduced by Naidu [3] is slightly more stringent than the no- tion of compatibility introduced here. In 2-metric ... See full document

... metric spaces by considering vector-valued metrics cone metrics with values in an ordered real Banach ...proved some fixed point theorems in cone metric spaces showing that ... See full document

... metric spaces, Jungck 15 introduced the notion of compatible mappings and utilized the same as a tool to improve commutativity conditions in common fixed point ...existence theorems on common ... See full document

... give some examples such that two weakly increasing mappings need not be ...common fixed point theorem for two weakly increasing operators in partially ordered metric spaces using implicit ... See full document

... In Theorem 2.1, we unify Theorems 1.8–1.10 into a single theorem and generalize. In Theorem 2.3, we examine the situation where the sum of the coefficients, rather than less than 1, is actually 1. Theorem 3.1 ... See full document

... in fixed point theory to explore applications of Cantor type theorems as new contour instead of following Picard iterative schemes in generalized metric spaces like non symmetric metric ... See full document

... Moreover, if ω ∈ X is another fixed point of f such that D(T ω, T ω ) < ∞ , then ω = ω . Corollary . Let (X, D) be a complete generalized metric space, and let T, f : X → X be two mappings such that T is ... See full document

... such spaces. Note that, unlike many other generalizations of metric spaces introduced recently, -metric spaces are not topologically equivalent to metric spaces and there is no easy ... See full document

... In this note, we obtain a fixed point theorem for generalized contractive mappings in an untrametric space which generalizes some known results.. 2000 AMS Subject Classification: 47H10, [r] ... See full document

... of fixed point ...the fixed point theory in metric ...metric spaces have been introduced as a probabilistic generalization of metric ... See full document

... a fixed circle have been defined on metric and S- metric spaces in [5] and [6], ...investigate some fixed- circle theorems on various metric spaces to obtain new generalizations ... See full document

... metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...such spaces, we ... 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

... 3. A common fixed point theorem for strongly nonexpansive mappings. By [3, Proposition 1.2], it is easy to see that every strongly nonexpansive mapping T : C → C on a nonempty bounded closed subset C of a ... See full document