نتایج جستجو برای: convex metric space

تعداد نتایج: 604474  

2016
Monther Rashed Alfuraidan Sami Atif Shukri M. R. Alfuraidan S. A. Shukri

In this paper, we prove the analog to Browder and Göhde fixed point theorem for G-nonexpansive mappings in complete hyperbolic metric spaces uniformly convex. In the linear case, this result is refined. Indeed, we prove that if X is a Banach space uniformly convex in every direction endowed with a graph G, then every G-nonexpansive mapping T : A → A, where A is a nonempty weakly compact convex ...

2009
Feng-Yu Wang

Let L = ∆+Z for a C1 vector field Z on a complete Riemannian manifold possibly with a boundary. By using the uniform distance, a number of transportation-cost inequalities on the path space for the (reflecting) L-diffusion process are proved to be equivalent to the curvature condition Ric−∇Z ≥ −K and the convexity of the boundary (if exists). These inequalities are new even for manifolds withou...

Journal: :bulletin of the iranian mathematical society 2011
s. li r. shamoyan

We introduce variational inequality problems on Hilbert $C^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, $C^*$-valued metric projection and fixed point theory  on  Hilbert $C^*$-modules is studied.

2011
Feng-Yu Wang Friedrich Götze

Let L = ∆ + Z for a C vector field Z on a complete Riemannian manifold possibly with a boundary. A number of transportation-cost inequalities on the path space for the (reflecting) L-diffusion process are proved to be equivalent to the curvature condition Ric−∇Z ≥ −K and the convexity of the boundary (if exists). These inequalities are new even for manifolds without boundary, and are partly ext...

Journal: :iranian journal of fuzzy systems 2014
nabi shobkolaei s. mansour vaezpour shaban sedghi

in this paper, we shall introduce the fuzzyw-distance, then prove a common fixed point theorem with respectto fuzzy w-distance for two mappings under the condition ofweakly compatible in complete fuzzy metric spaces.

Journal: :iranian journal of fuzzy systems 2010
dorel mihet

we provide fuzzy quasi-metric versions of a fixed point theorem ofgregori and sapena for fuzzy contractive mappings in g-complete fuzzy metricspaces and apply the results to obtain fixed points for contractive mappingsin the domain of words.

Journal: :Acta et commentationes Universitatis Tartuensis de mathematica 2022

We prove that Banach spaces ℓ1 ⊕2 R and X ⊕∞ Y , with strictly convex have plastic unit balls (we call a metric space if every non-expansive bijection from this onto itself is an isometry).

2012
Syed Abdul Mohiuddine Abdullah Alotaibi

*Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Abstract Berinde and Borcut (Nonlinear Anal. 74(15):4889-4897, 2011) have quite recently defined the notion of a triple fixed point and proved some interesting results related to this concept in a partially ordered metric space. In this wor...

2012
DARYL COOPER DARREN LONG

This study of properly or strictly convex real projective manifolds introduces notions of parabolic, horosphere and cusp. Results include a Margulis lemma and in the strictly convex case a thick-thin decomposition. Finite volume cusps are shown to be projectively equivalent to cusps of hyperbolic manifolds. This is proved using a characterization of ellipsoids in projective space. Except in dim...

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