Document Type : Research Paper

Authors

• Thounaojam Stephen ¹
• Rohen Yumnam ¹
• Huseyin Işık ²
• Laishram Shanjit ¹

¹ Department of Mathematics, National Institute of Technology Manipur, Langol 795004, India

² Department of Engineering Science, Bandırma Onyedi Eylul University, Bandırma 10200, Balıkesir, Turkey

Abstract

In this study, we establish some best proximity point results for generalized cyclic contraction mappings in partially ordered metric spaces. We also prove some best proximity point theorems by introducing the $T$-restriction property and generalized pointwise cyclic contraction mapping. Some illustrations are provided to support our results.

Keywords

• Best proximity point
• ordered metric space
• semi-sharp proximal pair
• generalized pointwise cyclic contraction