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Some remarks on a fixed point property for multivalued mapping

Kapeluszny J.

Journal of Mathematics and Applications

2010

Vol. 32

47-52

In [5] T. Dominguez Benavides and B. Gavira proved that Banach spaces with [wzór] satisfy the fixed point property for nonexpansive compact convex valued multivalued mappings. We give some simplification of the proof of this theorem.

Strict pseud-contraction strong convergence theorems for strict pseud-contractions

Qin X., Su Y.

Journal of Mathematics and Applications

2008

Vol. 30

137-149

In this paper, we prove two strong convergence theorems for strict pseudocontractions in Hilbert spaces by hybrid methods. Our results extend and improve the recent ones announced by Nakajo and Takahashi [K. Nakajo, W. Takahashi,. Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003), 372-379], Marino and Xu [G. Marino, H.K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007), 336-346], Martinez-Yanes and Xu [C. Martinez-Yanes, H.K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anai. 64 (2006), 2400-2411] and some others.

Implicit and explicit constructions of sunny nonexpansive retractions in Banach spaces

Aleyner A., Reich S.

Journal of Mathematics and Applications

2007

Vol. 29

5-16

Implicit and explicit processes for eonstructing the unique sunny nonexpansive retraction onto the common fixed point set of either a finite or infmite family of nonexpansive mappings in a Banach space are proposed and corresponding convergence theorems are established.

Rotative mappings in metric spaces of hyperbolic type

Górnicki J., Pupka K.

Journal of Mathematics and Applications

2006

Vol. 28

49-70

The aim of this paper is to give some conditions providing existence of fixed points for k-lipschitzian and uniformly k-lipschitzian mappings which are n-rotative with n ≥ 2 in complete metric spaces of hyperbolic type.

On existence of solutions to nonlinear equations with degenerate mappings

Prusińska A., Tret'yakov A.

Journal of Mathematics and Applications

2006

Vol. 28

101-111

The paper presents recent advances in p-regularity theory. The main result of this theory gives a detailed description of the structure of the zero set of an irregular nonlinear mapping. We illustrate the theory with an application to the problem of existence of the solutions to the nonlinear equations with singular mappings.

Punkty stałe odwzorowań wielowartościowych

Kryszewski W.

Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne

1998

[Z] 34

9-30