Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph

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FALLAHI K.

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Journal Paper

Paper Information

Journal: CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS Year:2018 | Volume:3 | Issue:1 Page(s): 65-73

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Information Journal Paper

Title

Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph

Author(s)

FALLAHI K. | Issue Writer Certificate

Keywords

Best proximity point

continuous mapping

contraction

Abstract

In this paper, we introduce a new type of graph contraction using a special class of functions and give a Best proximity point theorem for this contraction in complete metric spaces endowed with a graph under two different conditions. We then support our main theorem by a non-trivial example and give some consequences of Best proximity point of it for usual graphs.

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APA: Copy

FALLAHI, K.. (2018). Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, 3(1 ), 65-73. SID. https://sid.ir/paper/361570/en

Vancouver: Copy

FALLAHI K.. Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS[Internet]. 2018;3(1 ):65-73. Available from: https://sid.ir/paper/361570/en

IEEE: Copy

K. FALLAHI, “Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph,” CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, vol. 3, no. 1 , pp. 65–73, 2018, [Online]. Available: https://sid.ir/paper/361570/en

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