In this paper, a new stratification of mappings, which is  called $Psi$-simulation functions, is introduced  to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples ar...

As other authors have been very interested in the topic of fixed points, we obtained some results this study that emphasize importance point theory. Kannan described a more general contraction than Banach took its name and later Reich generalized further metric spaces. In paper, introduced new contractions called type γ-contraction which are generalization for non-Archimedean fuzzy We presented...

This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. contraction termed as a Suzuki-Proinov generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, are triangular ??admissible pairs, demonstrated in the setting modular b...

In this paper, we introduce a new sequential space as generalization of M − metricspaces and b metric spaces. generalized define two contractive mappings namely m contraction quasi-contraction prove some fixed point theorems for such type mappings. Several illustrative examples have been presented in strengthening the hypothesis our theorems.

‎‎Many authors such as Amini-Harandi‎, ‎Rezapour ‎et al., ‎Kadelburg ‎et al.‎‎, ‎have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}‎, ‎1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version‎. In this paper‎, ‎we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-gener...

This paper presents a new algorithm that arrives at a generalized solution for the generation of restricted weak compositions of n-parts. In particular, this generalized algorithm covers many commonly sought compositions such as bounded compositions, restricted compositions, weak compositions, and restricted part compositions. Introduced is an algorithm for generating generalized types of restr...

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