Fixed point theorems under the interior condition

Fixed Point Theorems for Interior Transformations

PROOF. Let U be an open neighborhood of x. By Lemma 4 there exists a compact set M in T such that xMC U and HQSM*. Let V be a neighborhood of x for which VMQ U. There exists an admissible set A such that AC.2 and xAQV. Hence xAMCU. Define B = SfY4 ikf. Since A QBM", B is an admissible set. Also BC.S and xBQU. The proof is completed. The following theorem is an immediate consequence of Lemmas 5 ...

Common fixed point theorems for maps under a new contractive condition

In this paper xed point and coincidence results are presented for two and three single-valued map-pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi(2008).

Coupled Fixed Point Theorems under Weak Contractions

Fixed Point Theorems for Mappings under General Contractive Condition of Integral Type (communicated by Peter Semrl)

In the present paper, we establish a fixed point theorem for a mapping and a common fixed point theorem for a pair of mappings. The mapping involved here generalizes various type of contractive mappings in integral setting.

On Common Random Fixed Point Theorems under Contractive Type Condition in Cone Random Metric Spaces

The aim of this paper is to establish some common random fixed point theorems under contractive type condition in the framework of cone random metric spaces and also to obtain some classical results as corollaries. Our results extend and generalize many known results from the current existing literature.