[PDF] Top 20 Asymptotic fixed points for nonlinear contractions

... the asymptotic fixed point theory, in which the existence of the fixed points is deduced from the assumption on the iterates of an operator ...totic fixed point theorem concerning ... See full document

... In the last years the interest in partial metric spaces, a generalization of the notion of metric space, has grown because they are efficient tools in modeling some processes that arise in a natural way in the few fields of ... See full document

... Fixed point theorems in modular spaces, generalizing the classical Banach fixed point theorem in metric spaces, have been studied extensively. In , Razani et al. [] stud- ied some fixed points of ... See full document

... an asymptotic pointwise nonexpansive ...fixed points for asymptotic pointwise contractions and asymptotic pointwise nonex- pansive mappings in Banach spaces, while Hussain and Khamsi ... See full document

... points of hybrid contractions, that is, contractive conditions involving slngle-valued and multi-valued mappings... If f is not the identity mapping, then commmtlng mappings f and T sati[r] ... See full document

... of fixed point theory in metric spaces and has intensified in the past few decades: (a) the existence and uniqueness of fixed points of various generalizations of Banach and Kannan contrac- tions; ... See full document

... 273) asymptotic fixed point theorem for quasi-contractions in T −orbitally complete metric spaces is obtained for the class of (δ , k)−weak contractions studied by Berinde ... See full document

... fixed points for semi- groups of nonlinear mappings acting in metric ...pointwise contractions, asymptotic pointwise contractions, pointwise nonexpansive and asymptotic pointwise ... See full document

... Yao, “Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... In this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to ... See full document

... In , the concepts of E -distance and S-completeness were introduced for uniform spaces in []. Recently in , Jachymski [] proved some fixed point results in met- ric spaces endowed with a graph and generalized ... See full document

... fixed points of a general class of ( ψ , φ ) contractive mappings on complete rectangular metric spaces are ...Samet. Fixed points of ( ψ , φ ) contractions under conditions involving rational ... See full document

... common fixed point of T and ...common fixed points of maps T , I such that T is I-nonexpansive under the conditions of commuting, weakly commuting, R-subweakly commuting, or compatibility see 9, 12, ... See full document

... Kirk’s asymptotic contraction to set-valued maps and obtained some endpoint theorems for such con- ...of asymptotic contractions to the analysis of set-valued dynamical systems are also ...in ... See full document

... Many authors considered fixed point results about cyclic ϕ-contractions in setting of different type of spaces; see, for example, [–]. Particularly, in [], Radenović obtained a fixed point theorem for non-cyclic ... See full document

... A new approach in the theory of fixed points was recently given by Jachymski [] and Gwóźdź-Lukawska and Jachymski [] by using the context of metric spaces endowed with a graph. Other recent results for ... See full document

... The classical Banach contraction principle is a very useful tool in nonlinear analysis with many applications to operatorial equations, fractal theory, optimization theory and other topics. Banach contraction ... See full document

... 10. Jungck, G, Pathak, HK: Fixed points via ‘biased maps’. Proc. Am. Math. Soc. 123(7), 2049-2060 (1995) 11. Maiti, M, Pal, TK: Generalizations on two fixed point theorems. Bull. Calcutta Math. Soc. 70(2), ... See full document

... Proposition 2.2. Let X be a modular space with a graph G. If a mapping from X into itself satisfies (B1) (respectively, (B2)) for G, then it satisfies (B1) (respectively, (B2)) for G. In particular, a e Banach ... See full document

... of fixed points con- cerning a class of selfmappings involving general rational expressions by treating the continuous and not necessarily continuous cases, this enable us to extend Khan’s [13] ... See full document