Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces

Abstract

In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α, β) −admissible and multi-valued mappings and obtain some general results for single-valued mapping in the context of modular b−metric space.

Keywords

• modular metric space
• multi-valued mapping
• proinov-type function
• sehgal type contraction
• primary 47h09, 47h10
• secondary 54h25