Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued nonexpansive mapping with convex compact values. We prove that T has a fixed point. This result improves former results in Domínguez Benavides, T., P. Lorenzo, Fixed point theorems for multivalued nonexpansive mappings without uniform convexity, Abstr. Appl. Anal. 2003:6 (2003), 375–386 and solves an open problem appearing in Xu, H.K., Metric fixed point theory for multivalued mappings, Dissertationes Math. (Rozprawy Mat.) 389 (2000), 39 pp.Dirección General de Enseñanza SuperiorJunta de Andalucí
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Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies th...
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AbstractThe paper contains an elegant extension of the Nadler fixed point theorem for multivalued co...
This paper is devoted to state some fixed point results for multivalued mappings in modular vector s...
AbstractIt is shown that, in the sense of the Baire category, almost all continuous single valued α-...
AbstractLet X be a Banach space whose characteristic of noncompact convexity is less than 1 and sati...
AbstractThe purpose of this paper is to study the existence of fixed points for nonexpansive multiva...
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies th...
The purpose of this paper is to study the existence of fixed point for nonexpansive multivalued mapp...
AbstractA new condition for mappings, called condition (C), which is more general than nonexpansiven...
Let X be a Banach space, C a weakly compact convex subset of X and T : C → C an asymptotically none...
AbstractWe give some fixed points theorems for multivalued nonexpansive and pseudocontractive mappin...
Fixed Point Theory for multivalued mappings has many useful applications in Applied Sciences, in par...
Abstract. Let X be a Banach space, C a weakly compact convex subset of X and T: C → C an asymptotica...
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies th...
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies th...
We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hy...
AbstractThe paper contains an elegant extension of the Nadler fixed point theorem for multivalued co...
This paper is devoted to state some fixed point results for multivalued mappings in modular vector s...
AbstractIt is shown that, in the sense of the Baire category, almost all continuous single valued α-...