Some Fixed Point Results forTAC-Type Contractive Mappings

Abstract

We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. Some examples are given to support our main results.

Some cyclic fixed point results for contractive mappings

“…Our main result is the following improvement of Theorem 1.1. that is, Theorem 14 from (Chandok et al, 2016 (Kadelburg et al, 2016), , (Radenović, 2015a), (Radenović, 2016), (Radenović, 2015b Proof. Putting in Theorem 2.1. for all we obtain the result.…”

“…proved the following result: Theorem 1.1. ((Chandok et al, 2016), Theorem 1). Let A and B be two closed subsets of complete metric spaces (X,d) such that and let be a mapping such that and .…”

A different approach to complex valued $G_{b}$-metric spaces

“…He has presented new fixed point results using this function. For some of them, see [23][24][25][26][27][28][29][30]. This paper starts with Sect.…”

Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras

“…Very recently, Chandok et al [8] introduced the concept of TAC-contractive mappings by using the notions of C-class functions and cyclic ( , )-admissible mappings and established corresponding fixed point theorems in metric spaces.…”