[PDF] Top 20 Cyclic compatible contraction and related fixed point theorems

... existence theorems in common fixed point ...weakly compatible maps is very ...concerning cyclic contraction, F- contraction and weakly compatible mapping (see for example ... See full document

... During the last few decades, a number of hybrid contractive mapping results have been obtained by many mathematical researchers. For example, Song [25, 26], Al-Thagafi and Shahzad [2], Shahzad [21] and Hussain and Junck ... See full document

... closely related to that in PM-spaces (refer [7, 21, 32, ...of fixed point theorems in PM-spaces to ...corresponding fixed point theorems in ... See full document

... well-known related fixed point theorems that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...known ... See full document

... In this paper, we obtain the existence and uniqueness of the solution for three self map- pings in a complete bipolar metric space under a new Caristi type contraction with an example. Also, we provide some ... See full document

... to compatible mappings [8] and then to weakly compatible mappings ...coincidence point is also weakly compatible as the requirement of weak compatibility is met out ...common fixed ... See full document

... fuzzy contraction with respect to S and SX is a closed subset of ...a point of coincidence, whereas the pair A, S has a unique common fixed point provided that it is weakly ... See full document

... generalized cyclic contraction pairs in b-metric spaces and establish some fixed point theorems for such ...fixed point results for generalized contraction pairs in partially ... See full document

... Fixed point theory plays a significant role in non-linear analysis as many real-world problems in applied science, economics, physics and engineering can be reformulated as a problem of finding fixed ... See full document

... of fixed point of random operator forms a central topic in this ...Random fixed point theorem for contraction mappings in Polish spaces and random Fixed point ... See full document

... proved fixed point theorems for contractive map in Modular ...is related to contracting rather “generalized average velocities” than metric distances, and the successive approximations of ... See full document

... many fixed point theorems in D-metric ...many fixed point results for a self mapping in G-metric spaces under certain conditions; see [5, 6, 7, 8, ... See full document

... In 1963, Gahler [1] introduced the concept of 2-metric spaces and claimed that a 2-metric is a generalization of the usual notion of a metric, but some authors proved that there is no relation between these two ... See full document

... all the other conditions of Theorem . are satisfied. Therefore T has a fixed point. Note that Theorem  of Minak and Altun [] is not applicable here; see, for example, x =   and y =   . Further Theorem . of ... See full document

... Since the concept of b-metric space as a generalization of metric space was given by Czerwik [1], many fixed point results in metric spaces were generalized in b-metric spaces (see [2, 6], etc.). In 2014, ... See full document

... common fixed points for singled-valued occasionally weakly compatible map- pings in G-symmetric spaces is ...common fixed point for pair of hybrid contractive mappings in G-symmetric ...some ... See full document

... In this section, we prove an extended fuzzy Edelstein contraction theorem for cyclic con- tractive mappings in a fuzzy metric space. Meantime, we also prove that a fixed point theorem given by Shen et ... See full document

... weak cyclic contractions (see Definition 2.6), and obtain fixed point theorems for those contractions (Theorems ...fixed point theorems (Theorems ...fixed point ... See full document

... 8. Khan. M.S, Swaleh. M, Sessa. S, “Fixed point theorems by altering distances between the points”, Bull. Aust. Math. Soc. Vol. 30, 1-9(1984). 9. Nguyen Van Dung and Vo Thi Le Hang “Remarks on ... See full document

... various fixed point theorems and obtained a lot of perfect ...some fixed point results for generalized cyclic contraction on partial metric ...type fixed ... See full document