[PDF] Top 20 Some multidimensional fixed point theorems on partially preordered G∗-metric spaces under (ψ,φ)-contractivity conditions

... -metric spaces. Gähler believed that - metric spaces can be interpreted as a generalization of usual metric ...However, some authors demonstrated that there is no clear ... See full document

... Fixed point theory plays a crucial role in nonlinear functional analysis since, among other reasons, fixed point results are used to prove the existence (and also uniqueness) of so- lution when ... See full document

... a partially ordered set and suppose that there is a G-metric on X such that (X , G) is a complete G-metric ...and g: X → X be two mappings such that F has the mixed ... See full document

... usual metric space, and generalized the Banach contraction principle in the context of complete b-metric ...b-metric spaces and their topological properties (see, ...paper, some coupled ... See full document

... then, some new results on the existence and uniqueness of coupled fixed points have been pre- sented in partially ordered metric spaces, cone metric spaces, and fuzzy ... See full document

... fixed point and quadruple fixed point theory (see, ...fixed point of N-order for m-mixed monotone mappings in complete ordered metric ...fixed point of N -order to the -fixed point ... See full document

... using g as the identity mapping on X. In the context of metric spaces that are not endowed with binary relations, we can also highlight the following statement, in which we assume that α(x, y) =  ... See full document

... partial metric space in which the self distance of any point of space may not be ...partial metric space by admitting negative ...partial metric space by introducing the notation of partial ... See full document

... generalized metric spaces called D-metric spaces (see ...such spaces (see ...ordinary metric functions and went on to present several fixed point ...ized metric ... See full document

... Clearly, ϕ ∈ , ψ ∈ (in fact, notice that lim t→r ψ (t) = , for all r ≥ ). Furthermore, T is a continuous, nondecreasing mapping. Moreover, it verifies condition () because if y, v ∈ X = N are natural ... See full document

... in Fixed Point Theory is multidimensional fixed point results in the context of various abstract ...of partially ordered metric ...fixed point was extended to the higher ... See full document

... fixed point theorems below. Theorem . Let (X, ) be a partially ordered set and G be a G-metric on X such that (X, G) is a G-complete G-metric ...and ... See full document

... establish some fixed point theorems for a k-variable isotone mapping, which include the unidimensional, coupled, tripled, and k-dimensional fixed point theorems as particular ...that ... 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

... In this paper, we aim to extend the results on coupled fixed points mentioned above. Our results improve, enrich and extend some existing theorems in the literature. We also give examples to illustrate our ... See full document

... of metric and introduced the concept of -metric spaces inspired by the mapping that associated the area of a triangle to its three ...a G-metric space, which have received much ... 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 ... See full document

... a partially ordered set and G be a G-metric on X such that (X, G) is a complete G-metric space and (X, G, ) is ...exist φ ∈ and F : X × X → X having the ... See full document

... After Ran and Reurings’ result, fixed point theorems have been investigated heavily. One of the interesting results in this direction was reported by Nieto and Rodríguez-López in [], who slightly modified ... See full document

... b-metric spaces was introduced and studied by Bakhtin [11] and Czer- wik ...of metric-like ...b-metric-like spaces. Since the b-metric-like space is a natural generalization of ... See full document