Fixed point theorems of LW-type Lipschitz cyclic mappings in complete B-metric-like spaces

Abstract

The research of Fixed Point Theorems (FPTs) plays an important role in nonlinear analysis. It is of great theoretical significance and profound application value to study general abstract theory in a B-Metric-Like Space (BMLS). So, it is an important topic to study the Fixed Point Theory (FPT) in a BMLS. In this paper, for the purpose of introducing some new FPTs, a -type Lipschitz Cyclic Mapping (LTLCM) is first proposed by us in a complete BMLS, and we proved the existence theorem of fixed points of -type Lipschitz Cyclic Mappings (LTLCMs) in complete BLMS. Next, we also construct an example in a discrete complete BMLS to show and illustrate the effectiveness of . In the end, on the basis of the example, we show the calculation of the range of the parameter s that appears in B-Metric-Like Spaces (BMLSs). Our main theorems extend and develop existing results in the recent literature.

Keywords

• lw-type lipschitz cyclic mapping (ltlcm)
• b-metric-like space (bmls)
• fixed point theorem (fpt)
• nonlinear analysis