• East Asian mathematical journal
• /
• v.18 no.1
• /
• pp.43-50
• /
• 2002

In this paper, we obtain some nonunique fixed point theorems of single valued and multivalued maps in metric and generalized metric spaces, one of which generalized the corresponding results of [5] and [6].

• Honam Mathematical Journal
• /
• v.38 no.3
• /
• pp.553-581
• /
• 2016

The purpose of this paper is to prove some fixed point theorems in a complete metric space equipped with a partial ordering using w-distances together with the aid of an altering functions and new functions of admissible type.

• East Asian mathematical journal
• /
• v.12 no.2
• /
• pp.243-251
• /
• 1996

• Nonlinear Functional Analysis and Applications
• /
• v.27 no.3
• /
• pp.533-551
• /
• 2022

In this paper, we introduce several types 𝛼-𝜓 interpolative proximal contractions and provide some sufficient conditions to prove the existence of best proximity points for these contractions in metric spaces. In the case of proximal contraction of the first kind, these metric spaces are not necessarily complete. Meanwhile, some new results can derive from our results. Finally, some examples are provided to show the validity of our results.