[PDF] Top 20 Fixed point theorems in generalized metric spaces with applications to computer science

... partial metric space in order to obtain a suitable mathematical tool for program verification (Matthews in ...partial metric version of the celebrated Banach fixed point theorem (Matthews in ...in ... 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

... of metric spaces expressed the most important role to many fields both in pure and applied science such as biology, medicine, physics, and computer science (see ...authors ... See full document

... Aydi, “Fixed point theorems for generalized weakly contractive condition in ordered partial metric spaces,” Journal of Nonlinear Analysis and Optimization: Theory and Applications, vol..[r] ... See full document

... fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous ...illustrate ... 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

... subsequently generalized among others by Reich 3 and ´ Ciri´c ...of fixed point theory for multivalued maps, one may refer to Rus ...to metric fixed point theory and its ... 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

... of generalized weakly contractive mappings in metric spaces and prove a fixed point theorem for generalized weakly contractive mappings defined on complete metric spaces, ... See full document

... fuzzy metric space X, M, ∗ such that the mappings A and B are a generalized fuzzy contraction with respect to mappings S and ...a point of coincidence ...common fixed point provided ... See full document

... a metric space (X, d) and T : A → B a ...a metric space X admits a unique fixed ...a fixed point. In case T is free from fixed point, it is of interest to find an element ... 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

... new generalized cyclic contraction pairs in b-metric spaces is ...fixed point results for such pairs in b-metric ...a generalized cyclic contractive condition in partially ordered ... See full document

... (3) G(x, y, z) = G(x, z, y) = G(z, y, x) = · · · (symmetric in all three variables). Example 2.2. A Riesz space E is a vector G−metric space with G : E × E × E → E defined by G(x, y, z) = |x − y| + |y − z| + |z − ... See full document

... Definition . A Menger probabilistic G-metric space (shortly, PGM-space) is a triple (X, G ∗ , T ), where X is a nonempty set, T is a continuous t-norm and G ∗ is a mapping from X × X × X into D (G ∗ x,y,z denotes ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...ordered metric ... See full document

... From Remark . and Theorem . in [] we can deduce the following corollaries. Corollary . Let (X, D) be a complete metric space, and let T, f : X → X be two mappings such that T is continuous, one-to-one, and ... See full document

... Samet and Vetro [26] introduced the concept of coupled …xed point for mul- tivalued mapping and later several authors proved existence of coupled …xed points for multivalued mappings under di¤erent conditions. ... See full document

... cone metric space with a partial order and establish that this con- traction has necessarily a fixed point either under the continuity assumption or an order condition which we state ...the ... See full document

... Fixed point theory, which is an important branch modern mathematics, has been extensive- ly studied in different framework of ...that fixed point problems of nonlinear operators, which find a ... See full document