[PDF] Top 20 Fixed point theorems for integral G-contractions

... In this paper, motivated by the work of Jachymski [] and Branciari [], we introduce two new contraction conditions for mappings on complete metric spaces and, using these contractive conditions, obtain some fixed ... See full document

... In the next example, we shall show that all the conditions of Theorem . are satisfied, but condition (d) in Corollary . and condition ( ∗ ) in Theorem A are not satisfied. Example . Let k ∈ (, ) be as in (c) of ... See full document

... fixed point theorem is very predominant because Subrah- manyam [] proved that Kannan’s theorem describes the completeness of the ...fixed point. Recently, many authors generalized the Kannan fixed ... See full document

... A closer look to the work of these distinguished mathematicians after Matthews’s studies reveals that their discoveries can be categorized in terms of the techniques implemented to produce the analogs of Banach’s ... See full document

... fixed point of a contraction type mapping in complete metric ...convergence theorems for the multivariate fixed point of a N-variables nonexpansive ... See full document

... Fixed point theorems for contractive operators in metric spaces are widely investigated and have found various applications in differential and integral equations (see [, , , ] and ... See full document

... Allaire, G, Kaber, SM: Numerical Linear ...Generalized contractions in quasimetric spaces. In: Seminar on Fixed Point Theory, ...fixed point theorems and ... See full document

... endpoint theorems for such con- ...asymptotic contractions to the analysis of set-valued dynamical systems are also ...in fixed point ... See full document

... In some cases, when the contractive condition is of nonlinear type, the above strategy cannot be used. However, we will show that we can deduce fixed point results on G-metric spaces from fixed point ... 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

... in G – metric space as follows: Let f and g be maps from a G – metric space (X, G) into ...and g are said to be compatible map if there exists a sequence {x n } such that ... See full document

... where j : ℝ +2 ® ℝ + is a continuous function such that ψ(x, y) = 0 if and only if x = y = 0. In [6,7], the authors proved some fixed point results for the C -contractions. In this section, we ... See full document

... common fixed point theorems for such contractions using weakly increasing property instead of mixed monotone ...our theorems are derived besides furnishing an ... 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 references ... See full document

... Recently, fixed point theorems for operators T defined on a complete metric space X with a cyclic representation of X with respect to T have appeared in the literature (see, ... See full document

... fixed point theory has rapidly been evolving, not only in metric structure but also in many different generalized spaces and the b-metric space is one of ...fixed point theory for single valued and multivalued ... See full document

... important fixed point theorem is the Banach contraction principle [1], which assures that every contraction T from a complete metric space X into itself has a unique fixed ...the fixed ... See full document

... Remark 3.1. In case αt b and βt c for all t ∈ 0, sup fX, where b and c are constants in 0, 1 with c < b, then Theorem 2.1 reduces to a result, which is a generalization of Theorem 1.3. The following example reveals ... See full document

... Recall the Banach contraction principle [], which states that each Banach contraction T : X → X (i.e., there exists k ∈ [, ) such that d(Tx, Ty) ≤ kd(x, y) for all x, y ∈ X) has a unique fixed point, provided ... See full document

... coupled fixed point theorems for Θ − G-contraction in metric spaces endowed with a directed ...nonlinear integral system equations to support the ... See full document