Abstract In the present paper concepts of q-rung orthopair fuzzy mappings (q-ROF mapping) and $( \alpha ,\beta ) $ ( α , β ) -cuts are introduced. Some common fixed point results for q-ROF presented in b-metric spaces using Suzuki-type contra...

In this paper, following a new interpolation approach in fixed point theory, we introduce the concepts of interpolative Hardy-Rogers-type fuzzy contraction and Reich-Rus-Ciric type framework metric spaces, analyze existence points for such contractions equipped with some suitable hypotheses. A few consequences single-valued mappings which include conclusion main result Karapinar et al. [On Hard...

In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of  rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric spaces are investigated. Then, we prove some fixed point theorems under various contractive conditions in partially ordered $b_2$-metric spaces...

The notion of compatibility for point-to-point mappings recently defined by Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed point theorem for a generalized contractive multi-valued mapping and a single-valued napping.

In this work, we introduce weak Pata convex contractions and E -Pata via simulation functions in metric spaces to prove some fixed point results for such mappings. Also, consider an example related contractions. Consequently, our generalize unify the literature.

‎Recently‎, ‎Hussain et al.‎, ‎discussed the concept of $wt$-distance on a‎ ‎metric type space‎. ‎In this paper‎, ‎we prove some fixed‎ ‎point theorems for classes of contractive type multi-valued operators‎, ‎by using $wt$-distances in the setting of a complete metric type space‎. ‎These results generalize a result of Feng and Liu on multi-valued operators.

In this study, we utilize the notion of triple controlled metric type space that preserves symmetry property, which is a generalization b-metric-type spaces, to prove new fixed-point results. We introduce (?-F)-contractive mappings and ?-contractive on settings. Then, establish existence uniqueness results complete space. Moreover, some examples applications boundary-value problems fourth-order...

In the present paper, we prove some fixed point theorems by using non-decreasing mapping \(\kappa :\mathbb{R}^+\to \mathbb{R}^+\) known as altering distance function or control function, in context of \(S\)-metric space. Further, explore property \(P\) for these contractive mappings.