BEST PROXIMITY POINT THEOREMS FOR CYCLIC GENERALIZED JSC-PROXIMAL CONTRACTIONS

DOI10.17654/MS112020153OpenAlexW2941013176WikidataQ127977582 ScholiaQ127977582MaRDI QIDQ5237626

A. Jennie Sebasty Pritha, U. Karuppiah

Publication date: 18 October 2019

Published in: Far East Journal of Mathematical Sciences (FJMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/ms112020153

zbMATH Keywords

fixed pointbest proximity pointcyclically complete pairproximally complete pairapproximately compact setcyclic generalized JSC-proximal contractionJSC-contractionsemi-sharp proximal pair

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Cites Work

• Best proximity point theorems for generalized proximal contractions
• Pythagorean property and best-proximity point theorems
• Extensions of two fixed point theorems of F. E. Browder
• Fixed-point theorems for set-valued mappings and existence of best approximants
• A theorem on best approximations
• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• A NOTE ON ALMOST GENERALIZED C-CONTRACTIVE MAPPINGS IN ORDERED PARTIAL METRIC SPACES
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