M. Arshad
Department of Mathematics, International Islamic University H-10, 44000- Islamabad, Pakistan
[ 1 ] - New three-step iteration process and fixed point approximation in Banach spaces
In this paper we propose a new iteration process, called the $K^{ast }$ iteration process, for approximation of fixed points. We show that our iteration process is faster than the existing well-known iteration processes using numerical examples. Stability of the $K^{ast}$ iteration process is also discussed. Finally we prove some weak and strong convergence theorems for Suzuki ge...
[ 2 ] - Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces
In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.
[ 3 ] - Numerical Reckoning Fixed Points in $CAT(0)$ Spaces
In this paper, first we use an example to show the efficiency of $M$ iteration process introduced by Ullah and Arshad [4] for approximating fixed points of Suzuki generalized nonexpansive mappings. Then by using $M$ iteration process, we prove some strong and $Delta -$convergence theorems for Suzuki generalized nonexpansive mappings in the setting of $CAT(0)$ Spaces. Our results are the extensi...
[ 4 ] - Fixed point results for Su-type contractive mappings with an application
In this paper, we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered extended partial $b$-metric space. We also develop an application for Fredholm type integral equations to validate our main result and a non-trivial example is given to elucidate our work.
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