There are a lot of generalizations of the Banach contraction mapping principle in the literature. One of the most interesting of them is the result of Khan et al. 1 . They addressed a new category of fixed point problems for a single self-map with the help of a control function which they called an altering distance function. A function φ : 0,∞ → 0,∞ is called an altering distance function if φ...

This is the content of the talk given at the conference “Effective Aspects of Complex Hyperbolic Varieties”, Aver Wrac’h, France, September 10-14, 07. We present two methods of constructing low degree Kobayashi hyperbolic hypersurfaces in Pn: • The projection method • The deformation method The talk is based on joint works of the speaker with B. Shiffman and C. Ciliberto. 1. DIGEST on KOBAYASHI...

In this paper, we consider the concept of Ω-distance on a complete, partially ordered G-metric space and prove a fixed point theorem for (ψ, φ)-Weak contraction. Then, we present some applications in integral equations. c ©2013 All rights reserved.

in the present paper‎, ‎we introduce the concept of generalized multivalued $f$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including nadler's‎.

Let X be a smooth complex projective variety with nef ⋀2TX and dim⁡X≥3. We prove that, up to finite étale cover X˜→X, the Albanese map X˜→Alb(X˜) is locally trivial fibration whose fibers are isomorphic Fano F ⋀2TF. As bi-product, we see that TX or variety. Moreover study contraction of KX-negative extremal ray φ:X→Y. In particular, blow-up space at point if φ birational type. also morphism fib...

in this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. some of these results are improved by using different arguments of control functions. examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.

We present an efficient algorithm for a problem in the interface between clustering and graph embeddings. An embedding φ : G→M of a graph G into a 2-manifold M maps the vertices in V (G) to distinct points and the edges in E(G) to interior-disjoint Jordan arcs between the corresponding vertices. In applications in clustering, cartography, and visualization, nearby vertices and edges are often b...

In this note, we provide fixed-point characterizations for two solution concepts in finite games: bestresponse sets (BRS’s) and self-admissible sets (SAS’s). The BRS concept is due to Pearce [7, 1984]. The SAS concept is a weak-dominance analog to a BRS, and is due to BrandenburgerFriedenberg-Keisler [4, 2006]. BRS’s are important because they characterize the epistemic condition of rationality...