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Common fixed points of nonexpansive mappings with applications to best and best simultaneous approximation
-
Sumit Chandok
and
T. D. Narang
Published/Copyright:
June 5, 2012
Abstract.
We prove some new results on the existence of common fixed points for nonexpansive and asymptotically nonexpansive mappings in the framework of convex metric spaces. We also obtain some results on common fixed points from the set of best and best simultaneous approximations as applications. The proved results generalize and extend some of the known results in the literature.
Keywords: Best approximation; best simultaneous approximation; demicompact set; fixed point; starshaped set; nonexpansive; asymptotically nonexpansive and uniformly asymptotically regular maps
Received: 2010-04-06
Revised: 2010-09-13
Accepted: 2010-11-16
Published Online: 2012-06-05
Published in Print: 2012-06-01
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Regularity theory for superquadratic energy functionals related to nonlinear Hencky materials in three dimensions
- Common fixed points of nonexpansive mappings with applications to best and best simultaneous approximation
- Perturbations of the matrix logarithm
- Strong convergence theorems for relatively quasi-nonexpansive mappings, variational inequality problems and systems of generalized mixed equilibrium problems
- Results of Tadeusz Świa̧tkowski on algebraic sums of sets and their applications in the theory of subadditive functions
- The generalized Stokes theorem for ℝ-linear forms on Lie algebroids
- Certain classes of multivalent functions with negative coefficients involving the Hadamard product
- Projective coordinates and compactification in elliptic, parabolic and hyperbolic 2-D geometry
- Location of zeros of polynomials
