[PDF] Top 20 25. A Unique Common triple fixed point theorem in partially ordered cone metric spaces

... of cone metric spaces by using ordered Banach space instead of the set of real numbers as a codomain and established Banach contraction ...proved fixed and common fixed ... See full document

... of Theorem 3 can be replaced by the following: i'') there exist A, B, C, D, E ≥ 0 such that A + B + C + D + E = 1, C > B and D > E or C < B and D < ... See full document

... of metric space is fundamental in mathematical analysis and the Banach con- traction principle is the root of fruitful tree of fixed point theory ...complete metric spaces in ...a common ... See full document

... fixed point for contraction type mappings in partially ordered met- ric spaces has been considered by Ran and Reurings [], Bhaskar and Lakshmikantham [], Nieto and Rodriquez-Lopez [, ], ... See full document

... introduce ordered quasicontractions and g-quasicontractions in partially ordered metric spaces and prove the respective coincidence point and (common) fixed ... See full document

... coincidence point results for various classes of mappings in a metric ...of cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have ... 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

... The triple (X, d, ) is called partially ordered metric spaces (POMS) if (X, ) is a par- tially ordered set and (X, d) is a metric ...complete metric space, the ... See full document

... some fixed and common fixed point theorems have been obtained in [1], ...initiated cone metric spaces, which is a generalization of metric spaces, by ... 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

... coupled fixed point theorems which has attracted the attention of many researchers ...coupled common fixed point theorems for these mappings in ordered metric ... See full document

... generalized metric spaces and topological ...Generalized metric spaces and topological ...D-metric spaces and the generation of D-metric spaces ... See full document

... a metric space, replacing the set of real numbers by ordered Banach space and obtained some fixed point theorems for mappings satisfying different contractive ...of fixed point ... See full document

... d(Sy, ST x) ≤ c max{d(x, Sy),δ (y, T x),d (x, ST x)} δ (T x,T Sy) ≤ cmax{d (x, Sy), δ (y,T x), δ (y, T Sy)}, where c ∈ [0, 1[. Then there exists a unique pair (x ∗ ,y ∗ ) ∈ X ×Y such that T x ∗ = y ∗ and Sy ∗ = x ... See full document

... Banach fixed point theorem for contraction mappings has been generalized and extended in many directions ...in partially ordered metric ... See full document

... a metric, by an ordered Banach space, the authors Huang and Zhang [8] introduced the concept of cone metric ...in cone metric spaces, introduced their completeness and ... See full document

... coupled fixed point, and proved some coupled fixed point theorems for single valued mixed monotone ...a unique so- lution to a periodic boundary value problem associated with a first ... See full document

... a unique fixed point, provided that the metric space (X , d) is ...[1, Theorem 3.5], Banach’s con- traction theorem has been generalized for two self-maps T : X → X and S : X → ... See full document

... of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity; see, ...usual metric spaces and it is introduced by Dhage [13] and ... See full document

... prove triple fixed point theorems in partially ordered metric spaces depended on another ...the theorem of Berinde and Borcut [Tripled fixed point ... See full document