[PDF] Top 20 Fixed point of α-ψ-contractive type mappings in uniform spaces

... of α-ψ-contractive and α-admissible mappings in the context uniform ...fixed point theorems by using these concepts. We shall also use α-admissible pairs to in- ... 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

... application to a matrix equation. Later, many remarkable results have been obtained in this direction (see, for example, [–] and the references cited therein). In this section, we will establish various fixed ... See full document

... Theorem . Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Let F : X × X → X be a mapping such that F has the mixed monotone property. Assume that ... See full document

... Fixed point problems of contractive mappings in metric spaces endowed with a partial order have been studied in a number of ...fixed point results for mixed monotone operators in ... See full document

... any point of space may not be ...b-metric spaces. Many authors recently studied the existence of fixed points of self maps in different types of metric spaces ...some fixed point ... See full document

... metric spaces and obtain a fixed point ...G-( α , ψ )-Meir-Keeler contractive mapping and prove some fixed point theorems for this class of mappings in the setting of ... See full document

... - ψ contractive mappings which is inspired by the concept of α - ψ contractive ...fixed point for such mappings in the setting of complete G-metric ... See full document

... new type of a generalized-( α , ψ )-Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via admissible ...fixed ... See full document

... introduced α - ψ -contractive mappings and proved some fixed point results for these ...(Fixed Point Theory Appl. 2013:151, 2013) modified the notion of α - ψ ... See full document

... In , Branciari [] introduced the concept of a generalized metric space where the triangle inequality of a metric space was replaced by an inequality involving three terms instead of two. As such, any metric space is ... See full document

... of mappings or uniform boundless of mappings at some point and so on, many authors have discussed and ob- tained many unique common fixed point theorems of mappings with ... See full document

... of α-ψ -contractive and α-admissible self-mappings and proved some fixed-point results for such mappings in complete met- ric ...of α ∗ -ψ-contractive ... 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

... A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially orderedmetric space, Abstract and Applied Analysis, 2010 (2010), Article ID ... See full document

... M (x, y) = max σ T i u, T j v : u, v ∈ {x, y} , 0 ≤ i, j ≤ p and i + j < 2p . Theorem 5. Let (X, σ) be a complete metric-like space and let p ∈ N . Suppose that T : X → X be an α − ψ − p−quasi ... 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 definitions and ... See full document

... of α -admissible and α - ψ -contractive mappings and establish new fixed point theorems for such mappings in complete metric ... See full document

... Nieto, JJ, Rodríguez-López, R: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations.[r] ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document