[PDF] Top 20 Some fixed point theorems in metric and 2 metric spaces

... a 2-metric and that of weak commutativity for a pair of self-maps on a 2-metric space were introduced by Naidu and Prasad ...a metric space and that of weak compatibility for a pair of ... 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

... coupled fixed point, introduced by Bhaskar and Laksh- mikantham 10, we consider the corresponding definition for the mappings on complete cone metric spaces and prove some coupled ... See full document

... fuzzy metric space and defined Hausdroff topology on fuzzy metric ...common fixed point theorems in fuzzy metric ...fuzzy metric space and proved some common ... See full document

... of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ... See full document

... partial metric space was introduced by Matthews [7] as a part of the study of denotational semantics of dataflow ...various fixed point theorems and obtained a lot of perfect ...proved ... See full document

... of fixed points for mappings with contractive functions or expansive functions on 2-metric spaces, and give some new versions of the fixed point theorems on real ... See full document

... vector spaces, normal cones and topical functions in optimization theory have generated a lot of interest and research in ordered topological vector spaces ...1, 2. Recently, Huang and Zhang 3 ... 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 ... See full document

... paper, some new coincidence and common fixed point theorems are obtained for four mappings, which are assumed to satisfy certain weak inequalities, in the framework of cone metric ... See full document

... two fixed point theorems in a partial metric ...cite some relevant references like ...Banach fixed point theorem in the setting of partial metric spaces and ... See full document

... of fixed points in partially ordered sets has been considered recently in 1, and some generalizations of the result of 1 are given in ...1 some applications to matrix equations are presented, in 3, 4 ... See full document

... it implies that D(u, v) =  and so u = v, this means that T has a unique fixed point. In Theorem ., taking ϕ(t) = t s – λt with  < λ <  s , we can get the following corollary. Corollary . Let (X, D) be ... See full document

... b-metric spaces which is a generalization of the concept of quasi-partial-metric ...fixed point results are proved in setting of such spaces and some examples are given to verify ... See full document

... Definition . (see [, ]) The ordered pair (f , g) of two self-maps of a metric space (X, d) is called a Banach operator pair if F(g) is f -invariant, namely f (F(g)) ⊆ F(g). Example . (i) Let (X, d) be a ... See full document

... valued metric spaces introduced by Azam et ...fixed point theorems for mappings satisfying certain point-dependent contractive ... See full document

... fixed point of f such that D(T ω, T ω ) < ∞ , then ω = ω ...generalized metric space, and let T, f : X → X be two mappings such that T is continuous, one-to-one, and sequentially ... See full document

... notions metric-like space and dislocated metric space are exactly the ...fixed point of a cyclic mapping in the context of metric-like ...consider some examples to illustrate the ... See full document

... quadruple fixed point of R, T, S, g, f and ...quadruple fixed point in P ...quadruple fixed point (α 0 , β 0 , γ 0 , ω 0 ) of R, S, T, g, h, f ... 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 ... See full document