d-α-ψ-EXPANSIVE MAPPINGS IN DISLOCATED METRIC SPACES
ASHA RANI *
Research Scholar, Department of Mathematics, SRM University, Sonepat-131001, India
ASHA RANI
Department of Mathematics, SRM University, Sonepat-131001, India
KUMARI JYOTI
Department of Mathematics, SRM University, Sonepat-131001, India
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce d-α-ψ-expansive mappings in the context of dislocated metric spaces. Further, we prove existence and uniqueness of fixed points of such mappings and also prove cyclic expansion results and coupled fixed point theorems. Further, we provide some examples to illustrate our results.
Keywords: Fixed point, d-α-ψ-mappings, dislocated metric space, cyclic expansion, couple fixed point theorems