BEST PROXIMITY POINT RESULTS FOR Gamma CLASS OF MAPPINGS

Sakthi R., GÜLYAZ ÖZYURT S., Karpagam S.

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, cilt.23, sa.7, ss.1399-1407, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 7
  • Basım Tarihi: 2022
  • Dergi Adı: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1399-1407
  • Anahtar Kelimeler: p-Cyclic maps, best proximity points, p-completeness, CYCLIC CONTRACTIONS, METRIC-SPACES, FIXED-POINTS, EXISTENCE, THEOREMS, MAPS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this manuscript, we define the class of Gamma consist of p-cyclic mapping with certain assumptions. We investigate the existence and uniqueness of a best proximity point in the setting of a metric space with an additional condition p-completeness. Further, we examine the both existence and uniqueness a best proximity point for the mapping that lies in this class in the context of strictly convex normed linear space.