[PDF] Top 20 Applications of Fixed Point Theorems in the Theory of Generalized IFS

... For applications of IFSs in image processing theory, in the theory of stochastic growth models, and in the theory of random dynamical systems, one can consult ... See full document

... In Section  we consider an extension of Burnside’s theorem to infinite dimensional Banach spaces. This result is originally due to Lomonosov []. We present a proof of it in a special case that was obtained independently ... See full document

... The invariant subspace problem is probably the problem of operator theory. The question, that attracted the attention of great deal of mathematicians is quite simple to state . Given a Banach space X and an ... See full document

... Aydi, “Fixed point theorems for generalized weakly contractive condition in ordered partial metric spaces,” Journal of Nonlinear Analysis and Optimization: Theory and Applications, vol..[r] ... See full document

... The Banach contraction principle is a remarkable result in the metric fixed point theory. Over the years, it has been generalized in different directions and spaces by several math- ematicians (see ... See full document

... fixed point theory, in this paper our goal is to show that partial metric spaces can be used satisfactorily for the asymptotic complexity analysis of algorithms by means of fixed point ...fixed ... See full document

... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ... See full document

... have applications in applied mathematics and optimization theory ...Such generalized spaces called cone metric spaces, were introduced by Rzepecki ...and fixed point theorems in ... See full document

... 1 generalized the concept of metric spaces by considering vector-valued metrics cone metrics with values in an ordered real Banach ...some fixed point theorems in cone metric spaces showing ... See full document

... Theorem 2.1. Let C be a nonempty closed and convex subset of a real Hilbert space H and F a bifunction from C × C to R satisfying (A1)–(A4). Let A be an α-inverse-strongly monotone mapping of C into H and B a ... See full document

... coupled fixed point theorems for nonlinear contractive maps that satisfied a generalized Mizoguchi-Takahashi’s condition in the setting of ordered metric ...Presented theorems extends ... See full document

... The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and ...of generalized metric space called G- ... See full document

... 13 S. Dhompongsa and H. Yingtaweesittikul, “Fixed points for multivalued mappings and the metric completeness,” Fixed Point Theory and Applications, vol. 2009, Article ID 972395, 15 ... See full document

... Veeramani, “On existence of equilibrium pair for constrained generalized games,” Fixed Point Theory and Applications , vol.. Veeramani, “On best proximity pair theorems and fixed-point t[r] ... See full document

... Remark 2.2. If only the condition PM.4 is satisfied in Theorem 2.1, then the uniqueness of the fixed-point z follows easily. Hence, we have the following see also 10, Corollary 2.1. Corollary 2.3. Let T be ... See full document

... been generalized in 7 cf. Theorem 2.1. Fixed point theorems for nonexpansive maps due to Browder 10, 11 and G ¨ohde 12 have been generalized in 6 ...been generalized by Kikkawa ... See full document

... Caristi’s fixed point theorem. It is well known that Caristi’s fixed point theorem is equivalent to Ekland variational principle 1, which is nowadays an important tool in nonlinear ...and ... See full document

... the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, and a generalization of functional equation for ... See full document

... Fixed point theorems, involving four self-maps, began with the assumption that all of the maps are ...Jungck generalized the notion of weak commutativity to that of pairwise compatible [4] and ... See full document

... Abstract. In this paper, we establish the existence of a unique fixed point for weak contractions in the context of b-metric spaces. The main theorem is supported with an illustrative example. The line of ... See full document