[PDF] Top 20 Pata contractions and coupled type fixed points

... Single, coupled, tripled and other types of fixed point theorems are investigated in many works, for instance, [–] and refer- ences cited ...Recently Pata in [] introduced a fixed point theorem with ... See full document

... “Common fixed points and invariant approximation for Gregus type contraction mappings,” Rendiconti del Circolo Matematico di Palermo, ...“Common fixed points and invariant approximation ... See full document

... and coupled fixed point problem ([7, 6, 10, 13, 14, 12])), and many other results related to this kind of problem ( see [3, 8, 12, 15, ...some fixed point theorems for monotone rational ... See full document

... the coupled fixed point problem associated to a pair of singlevalued operators satisfying a generalized mixed monotone ...a coupled fixed point problem for singlevalued operators proved in [] by the support ... See full document

... Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in ... See full document

... aggregation viewpoint still is without exploring, we provide a fixed point theorem in the spirit of Matthews for the new type of contractions and, in addition, we give examples which illustrate that the ... See full document

... Some interesting fixed point theorems for Banach type contractions endowed with the graph G or ordering are obtained by the authors in [–]. Samreen and Kamran [] also obtained useful results for such ... See full document

... new type of contractive set-valued mappings, recently has been introduced by Amini-Harandi [Fixed and coupled fixed points of a new type contractive set-valued mapping in ... See full document

... In this paper, motivated by the recent work of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), we introduce a new concept of set-valued contraction and prove a fixed point theorem which generalizes some ... See full document

... The maps satisfying condition (.) are called in the literature Banach contractions. In metric spaces, not necessarily complete, by changing condition (.), there are many different interesting generalizations of ... See full document

... In uniform spaces, using J -families of generalized pseudodistances, we construct four kinds of contractions of Kannan type and, by techniques based on these generalized pseudodistances, we prove ... 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

... Sadovskii fixed point theorems to obtain our main results under some appropriate ...nonexpansive type single valued mappings provides techniques for solving a variety of applied problems in mathematical ... See full document

... In 2008, Jachymski [5] studied the Banach contraction principle in metric spaces endowed with a graph and subsequently, Beg et al. [1] extended some results in [5] for set valued mappings. Recently in 2013, Bojor [2] ... See full document

... ized contractions defined by Ciric [6] as follows: A mapping T : X → X is called a generalized contraction if and only if there exist nonnegative numbers q, r, s and t such ... See full document

... studied fixed point theorems for mappings satisfying different contractive conditions (see [7- ...a coupled coincidence point of a mapping F from X × X into X and a mapping g from X into X, and studied ... 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

... The Banach contraction principle introduced by Banach [6] is one of the most important results in math- ematical analysis. It is the most widely applied fixed point result in many branches of mathematics and ... See full document

... Berinde 18 introduced the notion of a θ, L-weak contraction and proved that a lot of the well-known contractive conditions do imply the θ, L-weak contraction. The concept of θ, L-weak contraction does not ask θ L to be ... See full document

... some coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...a coupled fixed point theorem for contractions ... See full document