[PDF] Top 20 Coupled Fixed Point Theorems in Vector b-metric Space

... in metric similar to vectorial convergence when E   ...valued metric and Z  E then concepts of convergence in order and vectorial convergence ...E-complete vector metric space Z is a ... See full document

... introduced b-metric space as a generalization of metric ...generalized b-metric spaces such as b-metric-like spaces [], quasi-b- metric spaces [] ... See full document

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

... a coupled coincidence point of F and g, and therefore (gu, gu) is a coupled point of coincidence of F and g, and by its uniqueness, we get gu = ...common coupled fixed ... See full document

... mappings, b-coupled coin- cidence point and b-common coupled fixed point for mappings F, G : X × X ® X, where (X, d) is a cone metric ...establish ... See full document

... 23. Varga, RS: Matrix Iterative Analysis. Springer Series in Computational Mathematics, vol. 27. Springer, Berlin (2000) 24. Allaire, G, Kaber, SM: Numerical Linear Algebra. Texts in Applied Mathematics, vol. 55. ... 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 ...known fixed ... See full document

... standard metric spaces have ...a b-metric ...fixed point theory in such spaces; see [–] and references ...dislocated metric spaces in which self distance of a point need not be ... See full document

... quasi metric space (where the condition of symmetry in dropped) and then Kelly [30] developed the concept of a quasi metric ...quasi metric spaces, see [23, 33, 38]. Many fixed ... See full document

... of fixed point of N-order as natural extension of that of coupled fixed point and established some new coupled fixed point theorems in complete metric ... See full document

... the fixed point by generalizing the fixed point theorems in Complete Metric ...of fixed points of Selfmappings satisfying contractive conditions which is one of the ... See full document

... “Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces,” Nonlinear Analysis: Theory, Methods & ... See full document

... A, B, P, Q be self maps of a 2-fuzzy metric space X, ...PQ, B are compatible maps having the same point of coincidence and AB = BA, BP = PB, AP = PA, PQ = QP, PB = BP, QB = BQ then for ... See full document

... generalized metric spaces and extend some well-known related fixed point theorems that recovers a large class of topological spaces including standard metric spaces, ... See full document

... common fixed point theorems involving a collection of maps in fuzzy metric spaces require one of the mapping in compatible pair to be ...A, B, S or T to be ... See full document

... fixed point theory (see, ...fixed point results on expansive mappings in the setting of a b-metric-like ...fixed point results in the ... See full document

... topological space, ...―Coupled fixed point theorems with monotone property in soft metric and soft b-metric ... See full document

... In [22] Luong and Thuan proved the following coupled fixed point theorem. Theorem 19. Let (X, d, ≤) be a partially ordered complete metric space. Let F : X × X → X be a mapping with the ... See full document

... some coupled coincidence and coupled common fixed point theorems for nonlinear contraction mappings in the new set up of partially ordered complete metric spaces endowed with a directed ... See full document

... a metric space was introduced by Fr´echet ...on fixed-point for contractive-type mappings was the well-known Banach fixed point theorem, published for the first time in ...Banach ... See full document