Best proximity point theorems for weak cyclic Kannan contractions

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions

Meir and Keeler in 1 considered an extension of the classical Banach contraction theorem on a complete metric space. Kirk et al. in 2 extended the Banach contraction theorem for a class of mappings satisfying cyclical contractive conditions. Eldred and Veeramani in 3 introduced the following definition. Let A and B be nonempty subsets of a metric space X. A map T : A ∪ B → A ∪ B, is a cyclic co...

متن کامل

Best Proximity Point Theorems for MT-K and MT-C Rational Cyclic Contractions in Metric Spaces

The purpose of this paper is to present a best proximity point theorems through rational expression for a combination of contraction condition, Kannan and Chatterjea nonlinear cyclic contraction in what we call MT-K and MT-C rational cyclic contraction. Some best proximity point theorems for a mapping satisfy these conditions have been established in metric spaces. We also give some examples to...

متن کامل

Best Proximity Point Theorems for Generalized Nonlinear Cyclic Contractions in Metric Spaces

In this paper we present some best proximity point theorems for a combination of weak Kannan and Chatterjea nonlinear cyclic contraction and the MT functions in the frameworks of a metric space (X, d), thereby furnishing an optimal approximate solution to the equations of the form Tx = x, where T is a non-self mapping.

متن کامل

Best Proximity Point Theorems for Some New Cyclic Mappings

Let A and B be nonempty subsets of a metric space X, d . Consider a mapping T : A ∪ B → A ∪ B, T is called a cyclic map if T A ⊆ B and T B ⊆ A. x ∈ A is called a best proximity point of T in A if d x, Tx d A,B is satisfied, where d A,B inf{d x, y : x ∈ A, y ∈ B}. In 2005, Eldred et al. 1 proved the existence of a best proximity point for relatively nonexpansive mappings using the notion of prox...

متن کامل

On Best Proximity Point Theorems for New Cyclic Maps

In this paper, we first introduce the concept of MT − K condition. Some best proximity point theorems for mappings satisfying MT − K condition instead of K-cyclic mappings are established in metric spaces. Our results generalize and improve some main results in [5] and references therein. Mathematics Subject Classification: 54H25

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Filomat

سال: 2011

ISSN: 0354-5180,2406-0933

DOI: 10.2298/fil1101145p