Abstract
This paper shows that if S and T are two joint generalized cyclic F-Ψ-ɸ-Λ weak nonexpansive type mappings, then they have only one common fixed point. In particular, every generalized cyclic C class Ψ-ɸ-Λ weak nonexpansive mapping has a unique fixed point. Hence it extends the results of the attached references of this paper.
Highlights
Introduction and PreliminariesSince 1922 till many generalizations of Banach contraction principle (Banach, 1922) have been achieved
We introduced the following fascinating definition for joint-cyclic mapping: Let (X, d) be a metric space with A B, S, T: X X be two self mappings and a, b, c [0, 1] be three real numbers satisfying: where, φ is lower semi-continuous non-decreasing function φ: [0, ] [0, ] with φ(t) > 0 for t [0, ] and φ(0) = 0
This paper shows that if S and T are two joint generalized cyclic F- -φ- weak nonexpansive types mappings, they have only one common fixed point
Summary
Introduction and PreliminariesSince 1922 till many generalizations of Banach contraction principle (Banach, 1922) have been achieved. We introduced the following fascinating definition for joint-cyclic mapping: Let (X, d) be a metric space with A B , S, T: X X be two self mappings and a, b, c [0, 1] be three real numbers satisfying: where, φ is lower semi-continuous non-decreasing function φ: [0, ] [0, ] with φ(t) > 0 for t [0, ] and φ(0) = 0.
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