[PDF] Top 20 On some fixed point theorems in generalized metric spaces

... fixed point of f such that D(T ω, T ω ) < ∞ , then ω = ω ...complete generalized metric space, and let T, f : X → X be two mappings such that T is continuous, one-to-one, and sequentially ... See full document

... applied fixed point result in many branches of mathematics and it was generalized in many different directions (see ...-generalized metric spaces as follows (see ... See full document

... of generalized metric spaces, Mustafa and Sim (6,7) introduced the concept of G- metric ...several fixed point theorems satisfying different contractive ...cone ... See full document

... D-metric spaces as generalization of ordinary metric func- tions and went on to present several fixed point results for single and multivalued mappings; see [1-4] and the references ... See full document

... of fixed point theorem in standard metric spaces using the notion of generalized metric space introduced by Jleli and Samet ...A generalized metric space and ... See full document

... in fixed point theory to explore applications of Cantor type theorems as new contour instead of following Picard iterative schemes in generalized metric spaces like non symmetric ... See full document

... of fixed points of a function satisfying certain contractive conditions has been at the center of rigorous research ...Sims generalized the concept of a metric ...of generalized metric ... See full document

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

... S: Some remarks concerning contraction ...L: Generalized contractions and fixed-point ...on some recent fixed point theorems. Fixed Point Theory ... See full document

... than metric space and stronger than topological space ...uniform spaces and fixed point in such spaces, see [2], [3] , [23], [24], and [30]− [34] ... See full document

... notions metric-like space and dislocated metric space are exactly the ...fixed point of a cyclic mapping in the context of metric-like ...consider some examples to illustrate the ... See full document

... Definition 2.5([6]) Assume that the set X is nonempty and H, G : X → X . If w = Hx = Gx, x,w ∈ X, then x, w are called a coincidence point of H and G and a point of coincidence of H and G, respectively. ... See full document

... With the same arguments as in the proof of the theorem 2.2, we obtain: Theorem 2.3. Let (X, d) and (Y, δ) be two metric spaces such that (X, d) is com- plete; and let T : X → Y, S : Y → X two mappings such ... See full document

... …xed point theorems for nonlinear contractive condition on intuitionistic fuzzy metric spaces with application to integral equations, Journal of the Korean Society of Mathe- matical ... See full document

... fuzzy metric space, where ∗ is a continuous t-norm and ◊ is a continuous t-co-norm of H-type defined by t∗ t ≥ t and (1 − t) ◊ (1 − t) ≤ (1 − t) satisfying ... See full document

... partial metric space and obtained a generalization of Banach's fixed point theorem for partial metric ...gave some generalized versions of the fixed point theorem ... See full document

... Remark. The results of the current paper can be extended to generating space of a b-quasi-metric family which was introduced by P. Kumari and D. Panthi in [10] in order to find coincidence and common fixed ... See full document

... Definition 1.1. [2] Let γ : A 2 → [0, ∞) satisfy the following terms for all a, b ∈ A and all distinct c, d ∈ A each of which is dissimilar to a and b. (1) γ (a, b) = 0 ⇔ a = b, (2) γ (a, b) = γ (b, a) , (3) γ (a, b) ≤ γ ... See full document

... dislocated metric spaces in which self distance of a point need not be equal to ...also generalized the famous Banach contraction principle in this space, and satisfying certain contractive ... See full document

... cone metric spaces, D-metric spaces, and G-metric spaces (see, ...on metric spaces satisfying certain new contractive ... See full document