Recently‎, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha-psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractiv...

In this article, we introduce the idea of nonlinear Suzuki (F,R?)-contractions, which is patterned after contractive conditions due to [Nonlinear Anal. 71 (2009) 5313-5317] and Wardowski [Fixed Point Theory Appl. (2012) 94:6]. Utilizing our newly introduced contraction, establish some relation theoretic fixed point theorems. Furthermore, adopt an example highlight genuineness proved results. Fi...

*Correspondence: [email protected]; [email protected] 2Department of Mathematics, Faculty of Science, King Mongkutís University of Technology Thonburi (KMUTT), 126 Bangmod, Thrung Khru, Bangkok, 10140, Thailand Full list of author information is available at the end of the article Abstract In this paper, we extend the result of Wardowski (Fixed Point Theory Appl. 2012:94, 2012) by ...

One of the latest techniques in metric fixed point theory is interpolation approach. This notion has so far been examined using standard functional equations. A hybrid form this concept yet to be uncovered by observing available literature. With background information, and based on symmetry rectangular properties generalized spaces, paper introduces a novel unified under name interpolative Y-Ha...

Gregori and Romaguera introduced, in 2004, the notion of a KM-fuzzy quasi-metric space as natural asymmetric generalization concept fuzzy metric sense Kramosil Michalek. Ever since, various authors have discussed several aspects such spaces, including their topological (quasi-)metric properties well connections with domain theory relationship other structures. In particular, development fixed p...

‎inspired by the work of suzuki in‎ ‎[t. suzuki‎, ‎a generalized banach contraction principle that characterizes metric completeness‎, proc‎. ‎amer‎. ‎math‎. ‎soc. ‎136 (2008)‎, ‎1861--1869]‎, ‎we prove a fixed point theorem for contractive mappings‎ ‎that generalizes a theorem of geraghty in [m.a‎. ‎geraghty‎, ‎on contractive mappings‎, ‎proc‎. ‎amer‎. ‎math‎. ‎soc., ‎40 (1973)‎, ‎604--608]‎an...