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In this paper, a new type of Krasnoselskii-Mann iteration algorithm for finding a zero of nonexpansive mappings in Hadamard spaces is introduced and its convergence analysis is considered. Two examples in ℝ-tree space ℕ x [0; 1]/~ and 2-dimensional Euclidean space R2 with their numerical results are given. [ABSTRACT FROM AUTHOR]

In this paper, we consider extended general variational inequalities involving nonlinear operators. Using projection operator technique, we show that extended general variational inequality is equivalent to a fixed point problem. Using this alternative equivalent formulation, we propose and analyze some new algorithms for solving extended general variational inequalities and its variant forms. The convergence of new methods are discussed under some suitable conditions. Several special cases are discussed. Results obtained in this paper continue to hold for these problems. [ABSTRACT FROM AUTHOR]

In this paper, we establish a coupled fixed point theorem for an asymptotically regular nonexpansive one parameter semigroup {F(t) : t ∊ G, where G an unbounded subset of [0,∞)} of self-mappings on X × X in a complete bounded metric space with Uniform Normal Structure. [ABSTRACT FROM AUTHOR]

In this paper, timelike and spacelike tubularWeingarten surfaces inMinkowski 3-space which satisfies nontrivial relation between elements of the set {K, KII, H, HII}, where (K, H) and (KII , HII) are the Gaussian and mean curvatures of the first and second fundamental forms, respectively are studied. An additional results for tubular L/W-surfaces are obtained. Moreover, for some special cases new examples are constructed and plotted. [ABSTRACT FROM AUTHOR]

In this paper, we generalize the notion of α- ψ-contractive type mappings by introducing (α, ψ, ϕ)-contractive mappings. Further, we prove a fixed point theorem for (α, ψ, ϕ)-contractive mappings on a space with two metrics. Our result also generalizes some known results in literature. [ABSTRACT FROM AUTHOR]