Ahmed H. Soliman

Some common fixed point theorems for a pair of tangential mappings in symmetric spaces

A metrical common fixed point theorem for a pair of self mappings due to Sastry and Murthy (K.P.R. Sastry, I.S.R. Krishna Murthy, A common fixed points of two partially commuting tangential selfmaps on a metric space, J. Math. Anal. Appl. 250 (2000) 731734.) [8] is extended to symmetric spaces which in turn generalises a fixed point theorem due to Pant (R.P. Pant, Common fixed points of Lipschitz type mapping pairs, J. Math. Anal. Appl. 248 (1999) 280283.) [11] besides deriving some related results. Some illustrative examples to highlight the realised improvements are also furnished.

On -Tupled Coincidence Point Results in Metric Spaces

We prove some n-tupled coincidence point results whenever n is even. We give here several new definitions like n-tupled fixed point, n-tupled coincidence point, and so forth. The main result is supported with the aid of an illustrative example.

A tripled fixed point theorem for semigroups of Lipschitzian mappings on metric spaces with uniform normal structure

In this work, we establish a tripled fixed point theorem for an asymptotically regular one-parameter semigroup ℑ = {F(t):t∈G, where G is an unbounded subset of [0,∞)} of Lipschitzian self-mappings on X×X×X in a complete bounded metric space X with uniform normal structure.

On Uniformly Generalized Lipschitzian Mappings

We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric spaces equipped with uniform normal structure which yield corresponding results in respect of semigroup of iterates of a self-mapping as corollaries. Our results also generalize some relevant results due to the work of Lim and Xu (1995), Yao and Zeng (2007), and Soliman (2009).

On coincidence point results of a pair of rational type contractions in quasi-symmetric spaces

In Almeida, Roldan-Lopez-de-Hierro and Sadarangani (2015) proved that whenever T is a rational type contraction mapping from a complete metric space into itself, then T has a unique fixed point. In this work, we establish some coincidence and common point theorems for a pair of rational type contractions in quasi-symmetric spaces.