fixed point theorems for $alpha$-contractive mappings

Fixed point theorems for $alpha$-contractive mappings

In this paper we prove existence the common fixed point with different conditions for $alpha-psi$-contractive mappings. And generalize weakly Zamfirescu map in to modified weakly Zamfirescu map.

Fixed Point Theorems for Asymptotically Contractive Mappings

In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot’s result in [Proc. Amer. Math. Soc., 131 (2003), 2371–2377].

Common fixed point theorems for generalized contractive mappings with applications

Certain common fixed point results involving four mappings satisfying generalized contractive conditions on a cone metric type space are obtained. Our results substantially improve and extend a number of known results. An example is given in support of the new results developed here. As an application, we establish the existence of a solution for an implicit integral equation. MSC: Primary 47H0...

Coupled fixed point theorems for partially contractive mappings

*Correspondence: [email protected] Mathematics and Computer Science Department, Çankaya University, Eskişehir Yolu, Yenimahalle, Ankara, 06810, Turkey Abstract Recently, some authors have started to generalize fixed point theorems for contractive mappings in a class of generalized metric spaces in which the self-distance need not be zero. These spaces, partial metric spaces, were firs...

Common Fixed-point Theorems for Nonlinear Weakly Contractive Mappings

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings