Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping

Abstract

In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.

Keywords

• fixed point
• metric space
• orbital banach–caristi contractive map
• weak banach–caristi contractive map
• weak ciric–caristi contractive map
• 47h10
• 54h25