[PDF] Top 20 Some new fixed point theorems for set-valued contractions in complete metric spaces

... of fixed points for various multi-valued contractive mappings had been studied by many authors under different ...below fixed point theorem for multi-valued ... See full document

... two new classes of functions M(S, T) and N(S, T), and we prove some new fixed point results for single-valued and multivalued mappings in complete metric ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... cone metric space as a generalization of metric ...cone metric space, which is not a contraction in a standard metric ...of metric spaces is not flexible enough for the fixed ... See full document

... Some problems, particularly the problem of the convergence of measurable functions with respect to a measure, lead to a generalization of notion of a metric. Using this idea, Czerwik [5] presented a ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... See full document

... of fixed points in ordered metric spaces has been discussed by Ran and Reurings ...a new approach in metric fixed point theory by replacing an order structure with graph ... See full document

... and fixed point theorems for a new class of hybrid contractions consisting of a pair of single-valued and multivalued maps on an arbitrary nonempty set with values in a ... See full document

... fixed point theorem [] and of Ekeland’s variational principle [], as well as a general fixed point theorem that improves fixed point theorems of Subrahmanyam [], Kannan [] and Ćirić ...fixed ... See full document

... Remark 2.4. Note that Theorem 2.3 does not follow from Theorem 3.3 of Bae 5 by replacing the metric d by ψd. In Theorem 2.3, we assume T is metrically inward with respect to d but to apply Theorem 3.3 of 5 with ψd ... See full document

... the set of all nonnegative real numbers, while N is the set of all natural ...numbers. Fixed point theory is one of the most crucial tools in nonlinear functional analysis and has application ... See full document

... a new type of ...type fixed point theorems for a new type of generalized contractive conditions on partial Hausdorff metric ...Hausdorff metric spaces and on ... See full document

... in metric spaces due to Amini-Harandi [] to b-metric ...fixed point results for q-set-valued quasi-contraction mappings in b-metric ...introduced some ... See full document

... In fixed point theory, one of the main directions of investigation concerns the study of the fixed point property in topological ...the fixed point property if every continuous ... See full document

... multivalued contractions in complete metric spaces are introduced, and the conditions guaranteeing the existence of fixed points for the multivalued contractions are ...few ... See full document

... complex valued metric space which is a generalization of the classical metric space was recently introduced by Azam, Fisher and Khan (see ...the set of complex numbers as follows: for z  , z ... See full document

... partial metric space which is a generalization of usual metric ...of complete partial metric ...partial metric spaces and obtained many useful fixed point results ... See full document

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

... the metric space can be obtained as a partial-metric space by replacing the condition d(x, x) =  with the condition d(x, x) ≤ d(x, y) for all x, y in the definition of the ...of metric space. Several ... See full document

... Now, as a result of Theorem ., we can prove the following theorem due to Fournier []. Theorem . Let (X, d) be a complete metric space and U be an open subset of X. Sup- pose that F : U → X and G : U → ... See full document