[PDF] Top 20 Fixed point theorems in locally convex spaces—the Schauder mapping method

... a locally convex space—as a topological vector space (X,τ) such that 0 admits a neighborhood basis formed by convex sets, or as a pair (X,P) where P is a family of seminorms on X generating a ... See full document

... fixed point theorems for (.) in the framework of locally convex ...of locally integrable solutions for (.) by virtue of our fixed point theorems and a family of measures ... See full document

... By assumption (iii), for every x ∈ M we infer that z = JAx ∈ M owing to z = F(z, Ax), i.e. JA(M) ⊂ M. Since A and J are all continuous, the composite operator JA is continuous on M; and JA(M) is relatively compact by ... See full document

... a locally convex Hausdorff space V , C be the star-core of X and A be a commutating family of upper semi- continuous multimaps such that for each T ∈ A, F(T ) ⊆ ... See full document

... The following theorem is an extension of Theorem 3.1 of Cain and Nashed [2] for a sum of contraction and continuous mappings to a sum of certain type of asymptotically nonexpansive mappi[r] ... See full document

... generating spaces of quasi-norm family are introduced and their linear topological structures are ...These spaces are not necessarily locally ...these spaces, several Schauder-type ... See full document

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

... of fixed points have become attractive to the authors working in nonlinear ...Banach spaces and proved a theorem on the existence of fixed points for such map- pings in uniformly convex Banach ... See full document

... a fixed and periodic points of single-valued and multivalued mappings in ordered Banach spaces and Metric spaces,[16],[17], [1], [9], and in complete locally convex spaces [7], ... See full document

... to locally convex spaces and establish general common fixed point theorems for generalized f, g- nonexpansive subcompatible maps in the setting of a locally convex ... See full document

... of fixed point theorems in metric spaces satisfying different contraction condition may be extended to the abstract spaces like Hilbert, Banach and Locally convex ... See full document

... Isac’s fixed point theorem. We investigate the existence of common fixed and critical points for two set valued maps in locally convex ...common fixed point theorem in ... See full document

... Theorem 2.14. Let X be a nonempty compact and star-shaped subset of a Hausdorff locally convex space E. If T : X → X is an affine continuous mapping, then T has a fixed point in X . ... See full document

... 2 If X is reflexive, then the strong continuity plainly implies compactness. Moreover, assumption iii of Theorem 2.1 is always verified. Also, every continuous mapping on X satisfies condition H2. If in addition ... See full document

... minimal spaces can be listed as follows []: τ , the collection of all semi-open sets SO(X), the collection of all pre-open sets PO(X), the collection of all α-open sets αO(X) and the collection of all β-open sets ... See full document

... A mapping T : K → X is said to be coincidentally idempotent w.r.t mapping F : K → CB(X), if T is idempotent at the coincidence points of the pair (F,T ...metrically convex if for any x, y ∈ X with x ... See full document

... metric spaces and studied some fixed point theorems for nonexpansive mappings in such ...A convex metric space is a generalized ...a convex metric space and convex complete metric ... See full document

... Of Fixed Points Of Fuzzy Functions In Complete Metric Spaces, Proceedings of the International Conference on Applied Mathematical Models ,January 3-5 , 2014 PSG College of Technology, Coimbatore, India ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document

... contraction mapping principle is a classical and powerful tool in nonlinear ...contraction mapping which have been studied by several authors, and in particular some types of weak contractions in complete ... See full document