[PDF] Top 20 Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph

... unique fixed point of f and we say that f is a Picard operator ...a metric space and ∆ denote the diagonal of the Carte- sian product X × ...directed graph such that the set V (G) of its ... See full document

... rectangular metric spaces endowed with a graph is introduced. Some fixed point theorems for G-(F, τ )-contractions are also ...unify some known results. ... 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 ...our ... See full document

... common fixed point results for Ciric’s and generalized ...proved some fixed point results for rational contractive type conditions in the context of b-metric ... See full document

... Boriceanu, M, Petrusel, A, Rus, IA: Fixed point theorems for some multivalued generalized contractions in b -metric spaces.. Boriceanu, M, Bota, M, Petrusel, A: Multivalued fractals in b[r] ... See full document

... fixed point theory of multivalued contraction mappings using the Hausdorff metric was initiated by Nadler [], who extended the Banach contraction principle to multival- ued ... See full document

... proved some fixed point results for the C ...present some fixed point results for the weakly ψ - C -contraction in com- plete metric ... See full document

... gave some coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...coupled fixed point theorem for ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... 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

... 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

... proximity point results are the ones that provide sufficient conditions for the existence of a best proximity point and algorithms for finding best proximity points (see Definition ...proximity point ... See full document

... fuzzy metric spaces in various ...of generalized metric space called a G-metric ...studied fixed point theorems for mappings satisfying different contractive ... See full document

... In this paper, we prove some unique fixed point results for an operator T satisfying certain rational contraction condition in a partially ordered metric space. Our results generalize the main result ... See full document

... and fixed point theory ...various generalized metric spaces, such as b-metric spaces, partial metric spaces(see ...partial metric space and generates ... See full document

... established some coupled fixed point theorems which has attracted the attention of many researchers ...common fixed point theorems for these mappings in ordered ... 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

... 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

... 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

... extend some fixed point theorems in partially ordered complete metric spaces given in Harjani and Sadarangani [], Nicolae et ... See full document