## Abstract and Applied Analysis

### Generalized $\mathbf{\alpha }$-$\mathbf{\psi }$ Contractive Type Mappings and Related Fixed Point Theorems with Applications

#### Abstract

We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 793486, 17 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495845

Digital Object Identifier
doi:10.1155/2012/793486

Mathematical Reviews number (MathSciNet)
MR2965472

Zentralblatt MATH identifier
1252.54037

#### Citation

Karapınar, Erdal; Samet, Bessem. Generalized $\mathbf{\alpha }$ - $\mathbf{\psi }$ Contractive Type Mappings and Related Fixed Point Theorems with Applications. Abstr. Appl. Anal. 2012 (2012), Article ID 793486, 17 pages. doi:10.1155/2012/793486. https://projecteuclid.org/euclid.aaa/1355495845

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