Best proximity point theorems for α-nonexpansive mappings in Banach spaces

QR Code

Best proximity point theorems for α-nonexpansive mappings in Banach spaces

In this paper, we discuss sufficient and necessary conditions for the existence of best proximity points for non-self-a-nonexpansive mappings in Banach spaces. We obtain convergence results under some assumptions, and we prove the existence of common best proximity points for a family of non-self-a-...

Full description

Bibliographic Details
Main Authors:	Kong, D., Liu, Lishan, Wu, Yong Hong
Format:	Journal Article
Published:	Springer International Publishing 2015
Online Access:	http://hdl.handle.net/20.500.11937/10356

Similar Items

The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces
by: Kong, D., et al.
Published: (2015)

The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces
by: Liu, Lishan, et al.
Published: (2015)

Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices
by: Kong, D., et al.
Published: (2014)

Fixed point of nonself total asymptotically nonexpansive mappings in Banach Spaces
by: Gunduz, Birol, et al.
Published: (2017)

Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
by: Liu, Lishan, et al.
Published: (2016)

On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in banach spaces
by: Mukhamedov, Farrukh, et al.
Published: (2012)

Strong convergence theorems of a modified ishikawa iterative algorithm with errors for nonexpansive mappings
by: Liu, C., et al.
Published: (2016)

Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces
by: Kong, Dezhou, et al.
Published: (2016)

Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space
by: Mukhamedov, Farrukh, et al.
Published: (2010)

Strong convergence of an explicit iteration process for a totally asymptotically II-nonexpansive mapping in Banach spaces
by: Mukhamedov, Farrukh, et al.
Published: (2010)

Weak convergence of an implicit iterative process with errors for an asymptotically quasi I-nonexpansive mapping in Banach spaces
by: Mukhamedov, Farrukh, et al.
Published: (2011)

An application of Banach’s fixed point theorem to the entire functions
by: Indrajit Lahiri,
Published: (2000)

On unification of the strong convergence theorems for a finite family of tan mappings in Banach spaces
by: Mukhamedov, Farrukh, et al.
Published: (2011)

Mild solutions of impulsive semilinear neutral evolution equations in Banach spaces
by: Hao, X., et al.
Published: (2016)

Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
by: Hao, Xinan, et al.
Published: (2011)

Fixed point theorems for the sum of three classes of mixed monotone operators and applications
by: Zhang, X., et al.
Published: (2016)

On convergence theorems of an implicit iterative process with errors for a finite family of asymptotically quasi-I-nonexpansive mappings
by: Mukhamedov, Farrukh, et al.
Published: (2012)

Strong convergence for the split common fixed-point problem for total quasi-asymptotically nonexpansive mappings in Hilbert space
by: Mohammed, Lawan Bulama, et al.
Published: (2014)

Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces
by: Hao, X., et al.
Published: (2017)

Variational inequality problems for total quasi-asymptotically nonexpansive mapping in Hilbert spaces
by: Kilicman, Adem, et al.
Published: (2018)

Positive solutions for Sturm-Liouville boundary value problems in a Banach space
by: Su, H., et al.
Published: (2012)

Weighted ergodic theorems for Banach–Kantorovich lattice Lp(∇ ,μ)
by: Mukhamedov, Farrukh, et al.
Published: (2013)

On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces
by: Mukhamedov, Farrukh, et al.
Published: (2010)

A weighted ergodic theorem for contractions defined on Banach-Kantorovich lattice
by: Ganiev, Inomjon, et al.
Published: (2011)

Approximate controllability and optimal controls of fractional dynamical systems of order (Formula presented.) in Banach spaces
by: Qin, H., et al.
Published: (2015)

Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations
by: Zhang, X., et al.
Published: (2018)

k-diskcyclic operators on Banach spaces
by: Bamerni, Nareen, et al.
Published: (2016)

Semi chaotic operators on Banach spaces
by: Bamerni, Nareen, et al.
Published: (2016)

About fuzzy fixed point theorem in the generalized fuzzy fractal space.
by: M. G. AL-Saidi, Nadia, et al.
Published: (2011)

Isotonicity of the Metric Projection and Complementarity Problems in Hilbert Spaces
by: Kong, D., et al.
Published: (2017)

Approximating common fixed points for a finite family of asymptotically nonexpansive mappings using iteration process with errors terms
by: Temir, Seyit, et al.
Published: (2013)

Super-efficiency vector optimization in Banach spaces
by: Zheng, X., et al.
Published: (2007)

Sharp Minima for Multiobjective Optimization in Banach Spaces
by: Zheng, X., et al.
Published: (2006)

Some results in probabilistic n-Banach spaces
by: Salimi, Mehdi, et al.
Published: (2009)

k-bitransitive and compound operators on Banach spaces
by: Bamerni, Nareen, et al.
Published: (2016)

Spectral synthesis and topologies on ideal spaces for Banach *-algebras
by: Feinstein, Joel, et al.
Published: (2002)

Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
by: Dang, Y., et al.
Published: (2014)

Reflexive nests of finite subsets of a Banach space
by: Harrison, K., et al.
Published: (2014)

second order sufficient conditions for error bounds in banach spaces
by: He, Y., et al.
Published: (2006)

Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem
by: Zhang, X., et al.
Published: (2014)

Cannot write session to /tmp/vufind_sessions/sess_lco7bmv5r00ru5faki9eovjd5t