Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces

In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for Boyd-Wong type nonlinear contractions satisfying generalized mixed monotone property in ordered metric spaces. Our results unify several classical and well-known n-tupled (including coupled, tripled and quadrupled ones) fixed point results existing in the literature.Comment: arXiv admin note: substantial text overlap with arXiv: 1601.0251

Common fixed point results in partial symmetric spaces

In this paper, we prove some common fixed point results for weakly compatible mappings employing (E.A)-property and (CLRg)-property in partial symmetric spaces. Our results extend and improve several existing results in literature. We also give some examples which exhibit the utility of our results.Publisher's Versio

Remarks on a common Fixed Point Theorem in compact metric spaces

A general common fixed point theorem for two pairs of weakly compatible self mappings proved in compact metric spaces employing a slightly modified implicit relation which generalizes almost all existing relevant common fixed point theorems. Some related results are also derived besides furnishing illustrative examples

C*-algebra valued quasi metric spaces and fixed point results with an application

[EN] In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.Asim, M.; Kumar, S.; Imdad, M.; George, R. (2022). C*-algebra valued quasi metric spaces and fixed point results with an application. Applied General Topology. 23(2):287-301. https://doi.org/10.4995/agt.2022.1678328730123