[PDF] Top 20 Generalized contraction resulting tripled fixed point theorems in complex valued metric spaces

... (6) d(F (x, y, z), F(u, v, w)) - α d(x, u) + β d(y, v) + γd(z, w) + δ d(F(x, y, z), u)d(F(u, v, w), x) 1 + d(x, u) + d(y, v) + d(z, w) for all x, y, z, u, v , w ∈ X where α ,β ,γ , δ are non-negative reals with α + β + γ ... See full document

... common fixed point for a pair of mappings satisfying more general contraction conditions represented by rational expressions having point dependent control functions as coefficients in ... See full document

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

... common fixed point for a pair of mappings satisfying generalized contraction under rational expres- sions having point-dependent control functions as coefficients in complex ... See full document

... a metric space was introduced by Fr´echet ...on fixed-point for contractive-type mappings was the well-known Banach fixed point theorem, published for the first time in ...Banach ... See full document

... common fixed point theorems for a pair of maps un- der contraction involving rational expressions in the setting of complex valued b-metric spaces are ... See full document

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

... partial metric space was introduced by Matthews [7] as a part of the study of denotational semantics of dataflow ...various fixed point theorems and obtained a lot of perfect ...some ... See full document

... It is a well-known fact that the mathematical results regarding fixed points of contraction- type mappings are very useful for determining the existence and uniqueness of solutions to various mathematical models. ... 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

... of complex valued metric spaces in- troduced by Azam et ...several fixed point results for mappings satisfying certain contraction ...common fixed point ... See full document

... know, fixed point theory is one of the active research areas in ...of fixed points of mappings satisfy certain contractions in abstract ...in fixed point theory, also, it is a very ... 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 generalized and extended ... See full document

... a complex valued generalized metric space and A ⊆ X ...A point x ∈ X is called an interior point of a set A whenever there exists 0 ≺ r ∈ C such that B(x, r) = {y ∈ X : d(x, y) ≺ ... See full document

... [4] S. Bhatt, S. Chankiyal and R.C. Dimri. Comon fixed point of mappings satisfying rational inequality in complex valued metric space. International Journal of Pure and Applied ... See full document

... of generalized Meir-Keeler type ψ-contractions and prove some coupled common fixed point results for such type of ...The theorems proved herein extend, generalize and improve some results of ... See full document

... coupled fixed point and then by Guo et ...coupled fixed point of a mapping in partially ordered set was introduced by Bhaskar et ...coupled fixed point theorems in ... See full document

... unique fixed point in X ...the fixed point theory, from the last few decades this theory is a central topic of ...common fixed point theorems. The concept of the common ... See full document

... max{d(F(x, y), F (u, v)), d(F (y, x), F (v, u))} ≤ max{d(g(x), g(u)), d(g(y), g(v))} for all x, y, u, v ∈ X with g(x) < g(u), g(y) ≥ g(v) or g(x) ≤ g(u), g(y) > g(v). Proof. Without loss of generality, we assume ... See full document

... Existence theorems generalizing fixed point theorems for multivalued mappings, Fixed Point Theory and Applications (Marseille, ... See full document