[PDF] Top 20 Common fixed point results for contractive mappings in complex valued metric spaces

... the common fixed point theorems which are more general than the results of Klin-eam and Suanoom [], Rouzkard and Imdad [], and Azam et ...on complex valued metric ... See full document

... some common fixed point results for weakly compatible mappings satisfied generalized contraction under rational expressions in complex valued metric ...Our ... See full document

... of metric spaces. The concept of complex valued b-metric spaces was introduced in 2013 by Rao et ...known complex valued metric spaces that were ... See full document

... The fixed point theorem introduced by Banach in [4], was the source of metric fixed point theory in the field of Nonlinear ...b- metric space as a generalization of metric ... See full document

... of complex-valued metric space and obtained sufficient conditions for the existence of common fixed points of a pair of mappings sat- isfying a contractive-type ...some ... See full document

... Proof. We can prove this result by applying Corollary 3.3 with Λ(x) = l and Ξ(x) = μ. Theorem 3.5. Let (X, d) be a complete complex valued metric space and T : X ® X. If there exists a mapping Λ, Ξ : ... See full document

... Throughout this section, let (X, d) be a metric space. A set { (x, x) : x ∈ X } is called a diagonal of the Cartesian product X × X and is denoted by . Consider a graph G such that the set V(G) of its vertices ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math.. A unified approach for all contractive mappings, Ist.[r] ... See full document

... the complex valued metric spaces which is more general than well known metric spaces and also gave common fixed point theorems for maps satisfying ... See full document

... b-metric spaces(see [2], [3], ...b-metric spaces,and they obtained the basic fixed point theo- rems for self-map with contractive condition in C ∗ algebras-valued ... See full document

... new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction ...of results of Sitthikul, Saejung ... See full document

... of complex valued metric space and proved a common fixed point theorem for a pair of contractive type mappings involving rational expressions which is a ... See full document

... monotone mappings and 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 ... See full document

... space- valued cone metric spaces which are generalize of the results [15] and ...obtained common fixed point of a pair of mappings satiasfying a generalized ... See full document

... Proof By following the lines in the proof of Theorem  we get that f and g have a common fixed point, say u ∈ X. We shall show that u is the unique common fixed point of f and g. Suppose, on ... See full document

... Fixed point theory plays one of the important roles in nonlinear ...famous fixed point theorem for contractive mappings in complete metric ...usual metric ... See full document

... of fixed point theory is Banach Contraction priciple which was done by Banach in ...1922. Fixed In 2011 Akbar Azam et al., 2011 introduced the concept of complex valued metric ... See full document

... of complex valued metric spaces, namely ...every complex valued metric space is metrizable and hence complex valued metric spaces are not a ... See full document

... Fixed point theory is very useful theory in various branches as determining the existence and uniqueness of solutions to many mathematical equations in mathematical science, en- gineering and applications ... See full document

... Edelstein’s fixed point theorem ...different spaces, like complete metric spaces endowed with a partial order, b-metric space (metric type pace) and obtained many ... See full document