Recently, Piri and Kumam [Fixed Point Theory and Applications 2014, 2014:210] improved concept of F -contraction and proved some Wardowski and Suzuki type …xed point results in metric spaces. The aim of this article is to de…ne generalized GF -contraction and establish Wardowski and Suzuki type …xed point results in metric and ordered metric spaces and derive main results of Piri et al. as coro...

This paper deals with the question of achieving a suitable extension notion Suzuki-type contraction to framework quasi-metric spaces, which allows us obtain reasonable fixed point theorems in context. has no an easy answer; fact, we here present example self map Smyth complete space (a very strong kind completeness) that fulfills simple and natural but does not have points. Despite it, implemen...

In this paper, our focus is to acquaint with the Suzuki-type mappings establish some fixed point results using new w-interpolative approach. We present for interpolative contraction operators via w-admissible maps which satisfy Kannan, ?iri?–Reich–Rus, and Hardy–Rogers contractions in quasi-partial b-metric space. Further, outcomes so obtained are affirmed relevant examples.

Compared with the previous work, the aim of  this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-metric spaces. Our main results unify, complement and generalize the previous works in the existing literature.

In this paper we prove a fixed point result for F-Suzuki contractions.

In this paper, we introduce the notions of Z?-ontractions and Suzuki Z?-contractions via ?-simulation functions. By using these new contractions, extend unify several existing fixed point results in corresponding literature. We also show that recently defined notion L-simulation function is an special case Z?-contraction. addition, some notable examples are given to illustrate support obtained ...

Non-triangular metric spaces have been introduced by Khojasteh and Khandani [12] in 2020. The concept of non-triangular is fresh therefore, requires quite some analysis on its topology. In this article, we made an attempt to study the topology giving a natural definition open sets context. introduction has shown that there no inherent need for triangle inequality prove various fixed point resul...