[PDF] Top 20 A note on Kakutani type fixed point theorems

... Theorem 2.2. Let M be a nonempty convex τ-bounded, τ-complete finite dimen- sional subset of a Hausdorff locally convex space (E,τ). Suppose Ᏺ is a commutative semigroup of asymptotically nonexpansive self maps of M. Then ... See full document

... If n → ∞,then we have d(gx n , f u) → θ , Also, d(gx n , gu) → θ as n → ∞. The uniqueness of a limit in a cone metric type space implies that f u = gu = v . Now we show that f and g have a unique point of ... See full document

... of type (A) but the converse is not true (see ...of type (A) are independent (see [11], ...of type (A) are compatible mappings of type (B) but the converse need not be true (see ... 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

... Abstract. The aim of this paper is to give some fixed point theorems using the KKM-Type mappings, some well-known results are extended to the case of metric type spaces. We also ... See full document

... In order to finish off our work, let us prove Theorem . by applying Theorem .. Short proof of Theorem . Since K is a nonempty closed subset of X and X is complete, (K, d) is also a complete metric space. Note ... See full document

... In this paper, we show that coupled fixed point results of Mursaleen et al. [] can be obtained by usual fixed point theorems. Moreover, by giving an example, we conclude that the main result of ... See full document

... of fixed point theorems dealing with rational type contractive conditions of some ...rational type contractive conditions of ... See full document

... In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized ... See full document

... Recently, by adding values d(T  x, x), d(T  x, Tx), d(T  x, y), d(T  x, Ty) to (), Dung and Hang [] introduced the notion of a modified generalized F-contraction and proved a fixed point theorem for such maps. ... See full document

... fixed point results get either improved or generalized including the corresponding results of Feng and Liu [], Klim and Wardowski [], Latif and Albar [], Suzuki and Takahashi [], Latif and Abdou [], and ... See full document

... In the case where A is compact and B is nonexpansive, we add an additional assumption on B to guarantee the existence of a fixed point for the sum A B as follows. Theorem 2.19. Let M be a nonempty bounded ... See full document

... In nonlinear functional analysis, one of the most productive tools is the fixed-point the- ory, which has numerous applications in many quantitative disciplines such as biology, chemistry, computer science, and ... See full document

... fixed point theorem for multi-valued contraction maps, which is a generalization of the Banach contraction prin- ciple ...fixed point results concerning multi-valued contractions have appeared; for example, ... See full document

... established fixed point theorems in complete metric space. Here we note that (α, ψ)-contractive maps generalize contraction maps so that the fixed point results of (α, ψ)- ... See full document

... do not extend the notion of tripled coincidence point by Berinde and Borcut []. There- fore, their results are not extensions of the well-known results in the tripled case. This fact shows that the odd case is ... See full document

... COMMON FIXED POINT THEOREMS OF CONTRACTIVE-TYPE MAPPINGS HEE SOO PARK and JEONG SHEOK UME Received 10 April 2004 Using the concept of D-metric we prove some common fixed point theorems f[r] ... See full document

... a fixed point theorem for XxZ where X is a complete metric space and Z is a metric space with the fixed point ...Rhoades type contractive conditions in the first ...Nadler type ... 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

... 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