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Displaying 121 – 140 of 630

Best proximity point for proximal Berinde nonexpansive mappings on starshaped sets

Nuttawut Bunlue, Suthep Suantai (2018)

Archivum Mathematicum

In this paper, we introduce the new concept of proximal mapping, namely proximal weak contractions and proximal Berinde nonexpansive mappings. We prove the existence of best proximity points for proximal weak contractions in metric spaces, and for proximal Berinde nonexpansive mappings on starshape sets in Banach spaces. Examples supporting our main results are also given. Our main results extend and generalize some of well-known best proximity point theorems of proximal nonexpansive mappings in...

Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces.

Kohsaka, Fumiaki, Takahashi, Wataru (2007)

Fixed Point Theory and Applications [electronic only]

Browder-Krasnoselskii-type fixed point theorems in Banach spaces.

Agarwal, Ravi P., O'Regan, Donal, Taoudi, Mohamed-Aziz (2010)

Fixed Point Theory and Applications [electronic only]

Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces.

Acedo, Genaro López, Suzuki, Tomonari (2010)

Fixed Point Theory and Applications [electronic only]

$C_{q}$ -commuting maps and invariant approximations.

Hussain, N., Rhoades, B.E. (2006)

Fixed Point Theory and Applications [electronic only]

Characterization of globally Lipschitzian composition operators in the Banach space ${BV}_{p}^{2} [a, b]$

Janusz Matkowski, Nelson Merentes (1992)

Archivum Mathematicum

We give a characterization of the globally Lipschitzian composition operators acting in the space $B V_{p}^{2} [a, b]$

Characterizations of fixed points of nonexpansive mappings.

Suzuki, Tomonari (2005)

International Journal of Mathematics and Mathematical Sciences

Characterizations of weakly compact sets and new fixed point free maps in c₀

P. N. Dowling, C. J. Lennard, B. Turett (2003)

Studia Mathematica

We give a basic sequence characterization of relative weak compactness in c₀ and we construct new examples of closed, bounded, convex subsets of c₀ failing the fixed point property for nonexpansive self-maps. Combining these results, we derive the following characterization of weak compactness for closed, bounded, convex subsets C of c₀: such a C is weakly compact if and only if all of its closed, convex, nonempty subsets have the fixed point property for nonexpansive mappings.

Comment on “A strong convergence of a generalized iterative method for semigroups of nonexpansive mappings in Hilbert spaces”.

Golkarmanesh, Farman, Naseri, Saber (2011)

Fixed Point Theory and Applications [electronic only]

Currently displaying 121 – 140 of 630

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Displaying 121 – 140 of 630

Best proximity point for proximal Berinde nonexpansive mappings on starshaped sets

Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces.

Browder-Krasnoselskii-type fixed point theorems in Banach spaces.

Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces.

$C_{q}$ -commuting maps and invariant approximations.

Characterization of globally Lipschitzian composition operators in the Banach space ${BV}_{p}^{2} [a, b]$

Characterizations of fixed points of nonexpansive mappings.

Characterizations of weakly compact sets and new fixed point free maps in c₀

Coincidence and fixed point theorems for functions in $S$ -KKM class on generalized convex spaces.

Coincidence and fixed points for compatible and relatively nonexpansive maps.

Coincidence theorems for certain classes of hybrid contractions.

Comment on “A strong convergence of a generalized iterative method for semigroups of nonexpansive mappings in Hilbert spaces”.

Common fixed point theorem of Altman integral type mappings.

Common fixed point theorems for commutings $k$ -uniformly Lipschitzian mappings in metric spaces.

Common fixed point theorems for semigroups on metric spaces.

Common fixed point theorems in cone metric spaces.

Common fixed point theorems of contractive-type mappings.

Common fixed points by Ishikawa iterates in metric linear spaces.

Common fixed points for Lipschitzian semigroups.

Common fixed points for nonexpansive and asymptotically nonexpansive mappings

Currently displaying 121 – 140 of 630