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Using modified Halpern iterations, by elementary method, we extend and improve results obtained by W.A. Kirk (Proc. Amer. Math. Soc. 29 (1971), 294) and others, which have recently been presented in Chapter 11 of Handbook of Metric Fixed Point Theory (2001).

Fixed point theorems for nonexpansive mappings in modular spaces

Poom Kumam (2004)

Archivum Mathematicum

In this paper, we extend several concepts from geometry of Banach spaces to modular spaces. With a careful generalization, we can cover all corresponding results in the former setting. Main result we prove says that if $ρ$ is a convex, $ρ$ -complete modular space satisfying the Fatou property and $ρ_{r}$ -uniformly convex for all $r > 0$ , C a convex, $ρ$ -closed, $ρ$ -bounded subset of $X_{ρ}$ , $T : C \to C$ a $ρ$ -nonexpansive mapping, then $T$ has a fixed point.

Fixed point theorems for nonexpansive mappings on nonconvex sets in UCED Banach spaces.

Du, Wei-Shih, Huang, Young-Ye, Yen, Chi-Lin (2002)

International Journal of Mathematics and Mathematical Sciences

Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Shih-sen Chang, Yu-Qing Chen, Yeol Je Cho, Byung-Soo Lee (1998)

Commentationes Mathematicae Universitatis Carolinae

Let $P$ be a cone in a Hilbert space $H$ , $A : P \to 2^{P}$ be an accretive mapping (equivalently, $- A$ be a dissipative mapping) and $T : P \to P$ be a nonexpansive mapping. In this paper, some fixed point theorems for mappings of the type $- A + T$ are established. As an application, we utilize the results presented in this paper to study the existence problem of solutions for some kind of nonlinear integral equations in $L^{2} (Ω)$ .

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Fixed point theorems for $d$ -complete topological spaces. I.

Fixed point theorems for generalized contractions

Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces.

Fixed point theorems for generalized Lipschitzian semigroups.

Fixed point theorems for generalized weakly contractive condition in ordered metric spaces.

Fixed point theorems for mappíngs with a generalized contractive iterate at a point.

Fixed point theorems for middle point linear operators in $L^{1}$ .

Fixed point theorems for multivalued mappings

Fixed point theorems for multivalued mappings

Fixed point theorems for multivalued mappings in locally convex spaces.

Fixed point theorems for multivalued mappings in probabilistic metric spaces

Fixed point theorems for $n$ -periodic mappings in Banach spaces

Fixed point theorems for nonexpansive mappings in modular spaces

Fixed point theorems for nonexpansive mappings on nonconvex sets in UCED Banach spaces.

Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Fixed point theorems for nonlinear operators with and without monotonicity in partially ordered Banach spaces.

Fixed point theorems for non-self maps. I.

Fixed point theorems for non-self maps in d-complete topological spaces.

Fixed point theorems for occasionally weakly compatible mappings in Menger spaces

Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps

Currently displaying 41 – 60 of 171