[PDF] Top 20 G β ψ contractive type mappings and related fixed point theorems

... fixed point theory has been increasing rapidly as an interesting research ...fixed point theory not only in various branches of applied and pure mathematics, but also in many other disciplines such as ... See full document

... Fixed point theory became one of the most interesting area of research in the last fifty ...studied contractive type mappings on a complete metric space which are generalizations of ... See full document

... fixed point of the mapping satisfying an α-ψ -contractive condition on the closed ball, is very useful in the sense that it requires the contractiveness of the mapping only on the closed ball instead ... See full document

... three mappings were proved by different ...common fixed points for four mappings satisfying ψ - and (ψ , ϕ)−weakly contractive conditions in metric spaces which was motivated by ... See full document

... fixed point theorems for nonlinear contractive mappings in the framework of a metric space endowed with partial ...fixed point for such mappings in this ... See full document

... fixed point of α - ψ -contractive mappings in the context of uniform ...fixed point theorems by introducing the notion of α -admissible ... See full document

... The existence and uniqueness of common fixed points for four mappings satisfying ψ - and ( ψ , ϕ )-weakly contractive conditions in metric spaces are proved. Four examples are given to ... See full document

... These functions are known in the literature as Bianchini-Grandolfi gauge functions in some sources and as (c)-comparison functions in others (see, e.g., []). They have a crucial role in fixed point theory (see, ... See full document

... space, β : X × X −→ [0, ∞) , ϕ ∈ ψ and S, T be L-Fuzzy mappings from X into F L (X ...generalized β - admissible contraction if there exists an arbitrary function g : X −→ X such that ... See full document

... on contractive maps namely (α, ψ)−contractive mappings and established fixed point theorems in complete metric ...(α, ψ)-contractive maps generalize ... See full document

... multivalued mappings (see [1, 4, 5, 10, 11, ...some contractive conditions has been the center of rigorous research activity since such mappings have many applications (see [2, 3, 9, 13, 14, ... See full document

... Remark  We notice that some fixed point theorems in the context of G-metric space can be derived from usual fixed point results via certain substitutions (see, e.g., [, ]). On the other ... See full document

... the limit, we obtain z = Tz. Therefore, z is a fixed point of T . Theorem . Let (X, d) be a complete metric space and α : X × X → [, + ∞ ) be a transitive mapping. Suppose that T : X → X is a generalized ... See full document

... In this section, we note that some existing fixed-point results in the context of G-metric spaces are consequences of our main theorems. For the sake of completeness, we recollect some basic ... See full document

... Afterwards, many authors continued the study of Branciari and obtained many fixed point theorems for several classes of contractive mappings of integral type; see, e.g., [– ] and the ... See full document

... and g-contractive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings on a complete metric linear space.. we define g-contractive.[r] ... See full document

... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation ...every ... See full document

... contraction mappings and investigate the existence of the best proximity point for such mappings in complete metric ...proximity point results from the ... See full document

... = β , S(γ , ω, α , β ) = hγ = γ and S(ω , α , β , γ) = hω = ω ..., β , γ , ω) is quadruple fixed point of R, T, S, g, f and ...quadruple fixed point in P ... See full document

... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ... See full document