Some characterizations of equivalence relation on contraction mappings

EXTENSION OF FUZZY CONTRACTION MAPPINGS

In a fuzzy metric space (X;M; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.    

Some Characterizations of Open, Closed, and Continuous Mappings

Recommended by Sehie Park We obtain new characterizations of open maps in terms of closures, of closed maps in terms of interiors, and of continuous maps in terms of interiors. Further open closed onto maps f : X→Y are described in terms of images under f of certain closed open sets in X. Continuity of onto maps is also characterized in terms of saturated sets.

Endpoints of multi-valued cyclic contraction mappings

Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).

Extensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces

The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.

Some equivalence classes of operators on B(H)