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2014•Numerical Algebra Control and OptimizationRequires access

Existence and convergence results for best proximity points in cone metric spaces

Byung-Soo Lee

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Abstract

In this paper, the author introduces generalized cone proximal $\varphi$-cyclic contraction pairs in cone metric spaces and considers the existence and convergence of best proximity point for a pair in cone metric spaces. His results generalize the corresponding results in [1, 4, 5, 7, 8, 12, 13, 15].

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What this paper is about

In this paper, the author introduces generalized cone proximal $\varphi$-cyclic contraction pairs in cone metric spaces and considers the existence and convergence of best proximity point for a pair in cone metric spaces. His results generalize the corresponding results in [1, 4, 5, 7, 8, 12, 13, 15].

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Available abstract

In this paper, the author introduces generalized cone proximal $\varphi$-cyclic contraction pairs in cone metric spaces and considers the existence and convergence of best proximity point for a pair in cone metric spaces. His results generalize the corresponding results in [1, 4, 5, 7, 8, 12, 13, 15].

Key concepts: Cone (formal languages), Metric space, Mathematics, Dual cone and polar cone, Metric (unit), Metric map, Convergence (economics), Convex metric space

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