Article
Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces
Author/s | Fernández León, Aurora
![]() ![]() ![]() ![]() ![]() ![]() Gabeleh, M. |
Department | Universidad de Sevilla. Departamento de Didáctica de las Matemáticas |
Publication Date | 2016 |
Deposit Date | 2016-11-22 |
Published in |
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Abstract | Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B
is said to be noncyclic if T(A) A and T(B) B. For such a mapping, a pair (x; y) 2 A B such
that Tx = x, Ty = y and d(x; y) = dist(A;B) ... Let A and B be two nonempty subsets of a metric space X. A mapping T : A[B ! A[B is said to be noncyclic if T(A) A and T(B) B. For such a mapping, a pair (x; y) 2 A B such that Tx = x, Ty = y and d(x; y) = dist(A;B) is called a best proximity pair. In this paper we give some best proximity pair results for noncyclic mappings under certain contractive conditions. |
Citation | Fernández León, A. y Gabeleh, M. (2016). Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces. Fixed Point Theory, 17 (1), 63-84. |
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