Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function
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In this article, a generalization of cyclic weakly contraction via a new function was introduced and the existence of fixed point for such mappings in the setup of complete metric spaces was derived.Abstract:
Abstract In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.read more
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Journal ArticleDOI
On nonlinear contractions
D. W. Boyd,J. S. W. Wong +1 more
TL;DR: In this article, it was shown that for a metrically convex space, the conclusion of Banach's theorem still holds, and that one need only assume that ip(t) 0, together with a semicontinuity condition on \[/.
Fixed points for mappings satisfying cyclical contractive conditions
TL;DR: In this article, the authors considered the problem of non-pansive mappings of the type f : Ai → Ai+1, i = 1, 2, · · ·, p + 1, with Ap+1 = Ap, where the contractive assumptions are restricted to pairs (x, y) ∈ Ai×Ai+1.
Book ChapterDOI
Principle of weakly contractive maps in Hilbert spaces
TL;DR: Weakly contractive maps as discussed by the authors are a class of maps on closed convex sets of Hilbert spaces which are a priori degenerate in general case, and the convergence in norm of classical iterative sequences to fixed points of these maps is established.
Journal ArticleDOI
Fixed point theory for cyclic φ-contractions
Mădălina Păcurar,Ioan A. Rus +1 more
TL;DR: In this article, a fixed point theorem for cyclic φ -contractions is presented in connection with data dependence, well-posedness of the fixed point problem, limit shadowing property and sequences of operators and fixed points.