[PDF] Top 20 Some fixed point theorems for multivalued maps in ordered Banach spaces and applications

... passing the limit in (4.17), ¯ u = u ∗ . This is a contradiction. This completes the proof. From a theoretical viewpoint, it is of interest to discuss the single-valued version of Theorems 4.1 and 4.2, then in ... See full document

... fixed point theory for monotone operators in ordered Banach spaces has been inves- tigated extensively in the past  years ...fixed point theorems have been proved under the ... See full document

... Before proceeding with the main results, we give a useful technical lemma, which we will employ in the sequel. This result is really interesting and may have several applications. It says that every monotone ... See full document

... proved some common fixed point results for pairs of condensing mappings in ordered Banach spaces and they showed that these results have interesting applications in differential ... See full document

... Fixed point theorems for nonlinear operators on partially ordered Banach spaces have many applications in nonlinear equations and many other subjects ...of fixed ... See full document

... convex spaces, applying Caristi’s results we prove some fixed point results for non-self multivalued maps and common fixed point theorems for Caristi type ... See full document

... generalized multivalued nonexpansive mappings in the sense of Suzuki or multivalued mappings satisfying the condition ...for multivalued mappings as follows. Definition 2.6. A multivalued ... See full document

... The fixed point theory is one of the most rapidly growing topic of nonlinear functional anal- ...finding fixed points of a given nonlinear mapping on an infinite dimensional function space into ... See full document

... A uniform space X, ϑ is said to be Hausdorff if and only if the intersection of all the V ∈ ϑ reduces to diagonal Δ of X , that is, x, y ∈ V for V ∈ ϑ implies x y. Notice that Hausdorffness of the topology induced by the ... See full document

... the Banach Contraction Principle has been generalized in various ...Hilbert spaces and proved the corresponding fixed point ...various fixed point and common fixed ... See full document

... Quadruple fixed point is introduced by Karapinar ...established some coupled fixed point theorems for multivalued non linear contraction mapping in partially ... See full document

... linear spaces, was recently ...As applications, we derive some new fixed point theorems in partially ordered modular metric spaces, Suzuki type fixed point ... See full document

... Takahashi, “Fixed point theorems for multivalued mappings on complete metric spaces,” Journal of Mathematical Analysis and Applications , vol. Reich, “Fixed points of contractive functio[r] ... See full document

... Fixed point theorems for multivalued contractive-type and nonexpansivetype maps on complete metric spaces and on certain closed bounded convex subsets of Banach spaces have been proved..[r] ... See full document

... metric spaces by considering vector-valued metrics cone metrics with values in an ordered real Banach ...proved some fixed point theorems in cone metric spaces ... See full document

... in Banach spaces and obtained a lot of interesting and important ...obtain some new existence and uniqueness theorems of positive fixed point of mixed monotone operators in ... See full document

... generalized Banach contraction principle for cone metric ...obtained fixed point theorems in cone metric ...obtained fixed point results in cone Banach ... See full document

... of fixed points in partially ordered sets has been considered recently in 1, and some generalizations of the result of 1 are given in ...1 some applications to matrix equations are ... See full document

... proved some interesting fixed point theorems and convergence theorems for such mappings in Banach spaces ...of fixed points and the asymptotic behavior of map- ... See full document

... coupled fixed point was introduced and studied by Opoitsev [13, 14] and then by Guo and Lakhsmikantham ...coupled fixed points in connection to contractive type ...coupled fixed point ... See full document