[PDF] Top 20 Coupled fixed-point theorems for contraction mapping induced by cone ball-metric in partially ordered spaces

... In , the Banach’s contraction principle was extended to metric spaces endowed with a partial ordering by Ran and Reurings []. Afterward, many generalizations and applications of the work of Ran ... See full document

... fixed point theorems for a k-variable isotone mapping, which include the unidimensional, coupled, tripled, and k-dimensional fixed point theorems as particular ... See full document

... max{d(F(x, y), F (u, v)), d(F (y, x), F (v, u))} ≤ max{d(g(x), g(u)), d(g(y), g(v))} for all x, y, u, v ∈ X with g(x) < g(u), g(y) ≥ g(v) or g(x) ≤ g(u), g(y) > g(v). Proof. Without loss of generality, we assume ... See full document

... the coupled fixed point ...a coupled fixed ...the coupled fixed point of an operator F : X × X → X on a partially ordered metric space, Gnana-Bhaskar and ... See full document

... Banach’s contraction theorem is one of the significant results of nonlinear analysis, which also became the origin of understanding iterative and dynamical ...A mapping T : X → X where (X, d) is a ... See full document

... prove coupled fixed point theorems of multivalued mappings in partially ordered met- ric spaces by utilizing the combination of multivalued monotone iterative technique ... See full document

... fixed point for contraction type mappings in partially ordered metric spaces and aplications have been considered recently by many authors (see, for details, [2], [3], [4], [5], ... See full document

... Vetro, Coupled fixed point theorems for multi - valued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Analysis, 74 2011, 4260 - 4268.. Postolache, Coupled c[r] ... See full document

... of cone metric space was introduced by Haung and Zhang [8], replacing the set of real numbers by an ordered Banach ...considered fixed point theory in cone metric ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...Banach contraction mapping is one of the pivotal results of ...Banach ... See full document

... some coupled fixed point theorems for mapping having the mixed monotone property in partially ordered metric spaces, which are generalization of the main ... See full document

... generalized metric space called G-metric space, where to every triplet of elements a non-negative real number is assigned ...[28]. Fixed point theory in such spaces was studied in [27, ... See full document

... a partially ordered set and F : X × X → X, g : X → X be ...The mapping F is said to have the mixed g-monotone property if F is monotone g -non-decreasing in its first argument and is monotone ... See full document

... in partially ordered metric ...several coupled coincidence and coupled common fixed point theorems, which generalize and complement some known ... See full document

... Quadruple fixed point is introduced by Karapinar ...some coupled fixed point theorems for multivalued non linear contraction mapping in partially ... See full document

... many fixed point theorems for contraction mappings in partially or- dered probabilistic metric ...on fixed point theory in partially ordered ... See full document

... a coupled fixed point of a mapping F : X × X → X and investigated some coupled fixed point theorems in partially ordered complete metric ...on ... See full document

... Meir-Keeler contraction if, and only if, it satisfied a contractivity condition in a classical sense depending on a new class of functions (that he called ... See full document

... fixed point theory is devoted to the study of coupled fixed points, introduced by Guo and Lakshmikantham [] in ...a partially ordered metric space, and they established some ... See full document

... type contraction was defined by Gordji et al. (Fixed Point Theory and Applications 2012:74, ...type contraction is equivalent to an existing related result in the ...(Fixed Point ... See full document