More general common fixed point theorems under a new concept

Abstract

A general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the existence and uniqueness of common fixed points in several cases.

Keywords

• subcompatible mappings
• R-weakly commuting mappings of type (𝒜f) (resp. (𝒜g))
• sequentially continuous mappings of type (𝒜f) (resp. (𝒜g))
• weakly reciprocally continuous mappings
• weakly subsequentially continuous mappings
• 47H10
• 54H25
• 47H06
• 47H09