Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions

Fixed points of generalized $alpha$-Meir-Keeler type contractions and Meir-Keeler contractions through rational expression in $b$-metric-like spaces

In this paper, we first introduce some types of generalized $alpha$-Meir-Keeler contractions in $b$-metric-like spaces and then we establish some fixed point results for these types of contractions. Also, we present a new fixed point theorem for a Meir-Keeler contraction through rational expression. Finally, we give some examples to illustrate the usability of the obtained results.

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...

Fixed point theory for the cyclic weaker Meir- Keeler function in complete metric spaces

Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, No. 521, Nanda Rd., Hsinchu City 300, Taiwan Abstract In this article, we introduce the notions of cyclic weaker φ ○ -contractions and cyclic weaker (φ, )-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a fixed point for ...

COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTION

n this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results  as well as ´Ciri´c results. An example is given to support the usability of our results.

Common Fixed Points of Two Commuting Mappings in Complete Metric Spaces