[PDF] Top 20 Fixed point theorems under weakly contractive conditions via auxiliary functions in ordered $G$-metric spaces

... D– metric spaces, ...class metric spaces known as G–metric ...a G–metric space every triplet of elements is assigned to a non–negative real ...these spaces ... See full document

... coincidence point theorems and coupled common fixed point theorems for mixed monotone operators F : X × X → X satisfying a contractive condition which is significantly more general that ... See full document

... fixed point theorem is obtained for a monotone self-map in a 0-complete ordered partial metric space under Hardy-Rogers-type contractive ...weaker conditions are ...standard ... See full document

... unique fixed point by two theorems under different conditions of contractive mappings on the generalized G- convex metric ...generalized G- convex ... See full document

... of fixed point to generalized structures as cone metrics, partial metric spaces and quasi-metric spaces has received much atten- tion (see, for instance, [1-7] and references ... See full document

... It is well known that there are a lot of generalizations of Banach Contraction Principle, obtained by modifying the basic contractive conditions (see, e.g., [7]). Some of them already have their Pata-type ... See full document

... proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...proximity point in the setting of partially ordered metric spaces has been considered in [15, ... See full document

... the contractive condition is of nonlinear type, the above strategy cannot be ...fixed point results on G-metric spaces from fixed point results on quasi-metric ...a ... See full document

... Fixed point theory has fascinated many mathematicians since  with the celebrated Ba- nach’s fixed point ...theorem. Fixed point theory plays a major role within as well as outside ... See full document

... fixed point. Rhoades [2] extended weak contraction principle in Hilbert spaces to metric ...fixed point theorems in metric spaces by introducing the concept of altering ... See full document

... many contractive conditions have prop- erty ...general point theorem for a new weakly contractive maps in G-complete metric ... See full document

... the metric space (X, ...two functions. For instance, Ha et al. in [5] showed that 2-metric need not be continuous ...generalized metric space called D-metric space [1, ...ordinary ... See full document

... a G-metric space in  (see also ...celebrated theorems of the fixed point theory such as the Banach contrac- tion mapping principle [] from the point of view of ...partially ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document

... Several fixed point theorems in metric space setting have been proved through contraction type conditions involving different types of auxiliary functions... The notion of contractive mo[r] ... See full document

... common fixed point of T ...from G(x, y, z) ≤ M (x, y, z), G(x, T x, T x) ≤ M (x, y, z), G(y, T y, T y) ≤ M (x, y, z), G(z, T z, T z) ≤ M (x, y, z), we have x = y = z = T x = T y ... See full document

... In fact, Khan et al. 1 proved a more general theorem of which the above result is a corollary. Another generalization of the contraction principle was suggested by Alber and Guerre-Delabriere 2 in Hilbert Spaces ... See full document

... in metric fixed point theory in many studies (see, for example, ...of contractive mappings on closed convex sets of Hilbert spaces, called weakly contractive ... See full document

... a metric-like space which is a new generalization of a partial metric ...fixed point theorems involving weakly contractive mappings in the context of ordered ... See full document

... Since H(., 0) has a quadruple fixed point in U 4 , we have that (0, 0, 0, 0) ∈ X 4 . So that X is non- empty set. Now we show that X is both closed and open in [0, 1] and hence by the connectedness X = [0, ... See full document