[PDF] Top 20 Common fixed point theorems for generalized expansive mappings in partial b metric spaces and an application

... of metric spaces in the ...a partial metric space as a part of the study of denotational data for networks and proved that the Banach contraction mapping the- orem can be generalized to ... See full document

... new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction ...unique common solution of system of ... See full document

... of expansive mappings. We present a new category of expansive mappings called ( ξ , α )-expansive mappings and study various fixed point theorems for such ... 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

... A, B, S and T be self mappings of a fuzzy metric space X, M, ∗ such that the mappings A and B are a generalized fuzzy contraction with respect to mappings S and ...and ... See full document

... Case III: If max = 2γ G(y, By , y), G(y, By, y) ≤ φ (2γ G(y, By, y), G(y, By, y) < 2γ G(y, By, y), G(y, By, y) < G(y, By, y) as 3α + 7β + 6γ < 1. This leads to contadiction. Thus G(y, By, y) = 0 ⇒ By = y. Also ... See full document

... [] generalized the notion of metric spaces by substituting the set of real numbers with the ordered Banach space, and defined the concept of cone metric ...cone metric spaces, ... See full document

... of common fixed points of mappings satisfying certain contractive conditions has been researched extensively by many mathematicians since fixed point theory plays a major role in ... See full document

... It should be noted that a partial metric p defines metric δ in the following way: δ(x, y) =  iff x = y, and δ(x, y) = p(x, y) for x = y. The topology of (X, δ) is clearly larger than the topol- ogy of ... See full document

... Secondly, we prove some fixed point theorems about ‘H(A, B)’ under a G -distance func- tion. The results extend and improve some well-known results obtained by [, ]. Now, we establish and prove ... See full document

... different spaces by mathematicians over the ...a b-metric space which is a generalization of usual metric space and generalized the Banach contraction principle in the context of ... See full document

... we obtain that |z| = |d(u, Su)| ≤ sλ |z| < |z|, which is a contradiction with (3.8). So |z| = 0. Hence Su = u. Similarly, we obtain that Tu = u. Now, we show that S and T have unique common fixed ... See full document

... of fixed points in partially ordered sets has been considered recently in 9, and some generalizations of the result of 9 are given in 10– 15 in a partial ordered metric ...on partial ordered ... 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

... coincidence point of F and g, and therefore (gu, gu,gu) is a tripled point of coincidence of F and g, and by its uniqueness, we get gu = ...unique common tripled fixed point of F and ... See full document

... Fixed point theory is rapidly moving into the mainstream of Mathematics mainly because of its applications in diverse fields which include numerical methods like Newton-Raphson method, establishing Picard’s ... See full document

... xed point theorems in quasi partial metric spaces using expansive ...some common xed point theorems for two compatible mappings in this ...an ... See full document

... Fixed point theory plays a basic role in applications of various braches of mathematics, from elementary calculus and linear algebra to topology and ...analysis. Fixed point theory is not ... See full document

... Definition 12. (See [16]) Let (X, ≤) be a partially ordered set and F : X ×X → X and g : X → X be mappings. Then F is said to have the mixed strict g-monotone property if F (x, y) is monotone g-increasing in x and ... See full document

... modular spaces, as a generalization of metric spaces, was introduced by Nakano [17] and was intensively developed by Koshi and Shimogaki [11], Yamamuro [22] and ...a metric on a set represent ... See full document