[PDF] Top 20 Fixed Point Theorems for Asymptotically Contractive Multimappings

... The existence theorem of fixed points for contractive multifunction is well known see 7. More generally, a generalization of Picard-Banach theorem to pseudo-contractive multifunction is given in 8, ... See full document

... Fixed point theorems for operators in ordered Banach spaces are widely investigated and have found various applications in differential and integral equations (see [, ] and refer- ences ... 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

... of fixed point theory in metric spaces has attracted considerable attention due to numerous applications in areas such as variational and linear inequalities, optimization, and approximation ... See full document

... weakly contractive, are stud- ied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed ... See full document

... of fixed point in partially ordered sets has been studied and investigated recently in 1–13 and references ...various contractive conditions are important in metric fixed point theory, ... See full document

... Using the concept of Hausdorff metric, Nadler [] introduced the notion of multivalued contraction maps and proved a multivalued version of the well-known Banach contraction principle, which states that each closed ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int.. Ćirić, Generalized contractions and fixed-point theorems, Publ.[r] ... See full document

... the contractive condition is of nonlinear type, the above strategy cannot be ...fixed point results on G-metric spaces from fixed point results on quasi-metric ...weakly contractive condition. ... See full document

... examples are used to compare the convergence rates of these two iteration schemes. Our results compliment and extend several strong convergence results in the literature to the class of mappings considered in our work. ... See full document

... convergence theorems of an implicit iteration process with errors to converge to common fixed points for a finite family of uniformly L-Lipschitzian total asymptotically pseudo- contractive ... See full document

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

... The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and ...many fixed point results for a ... See full document

... In this paper we prove a fixed point theorems of ( , )   Uniformly Locally Contractive map of T- Orbitally Complete Metric space by using contractive condition by generalizi[r] ... See full document

... proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...proximity point in the setting of partially ordered metric spaces has been considered in [15, 16, 17, 18, 19, ...new ... See full document

... common fixed point theorems by employing the recently introduced notion of weak reciprocal ...common fixed points under contractive conditions, which otherwise do not ensure the ... See full document

... Generalized Meir-Keeler α -contractive functions and pairs are introduced and their fixed and common fixed point theorems are obtained. Also, the so-called generalized Meir-Keeler α ... See full document

... fixed point, it is easy to see that, under the assumptions made, if (x, y) and (u, v) are both coupled fixed points for F satisfying (p × p)((x, y), (x, y)) = (p × p)((u, v), (u, v)), then (x, y) = (u, ...partially ... See full document

... fixed point. Then Chang et al. [] established some convergence theorems for this class of mappings without the assumption of boundedness of the subset ... 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