Interpolative Chatterjea and cyclic Chatterjea contraction on quasi-partial b-metric space

Abstract

The fixed point results for Chatterjea type contraction in the setting of Complete metric space exists in literature. Taking this approach forward Karapinar gave the concept of cyclic Chatterjea contraction mappings. Fan also worked on these cyclic mappings in a new setting of quasi-partial b-metric space. Motivated by the work of these researchers, we have introduced the notion of qpb-cyclic Chatterjea contractive mappings and established fixed point results on them. The aim of this paper is to use an interpolative approach in the framework of quasi-partial b-metric space and to prove existence and uniqueness of fixed point theorem for qpb-interpolative Chatterjea contraction mappings. The results are affirmed with applications based on them.

Keywords

• quasi-partial b-metric space
• fixed point
• chatterjea contraction
• cyclic mapping
• qpb-cyclic chatterjea contraction mapping
• interpolation