Fixed Point Theorems via WF-Contractions

Abstract

In this paper, we introduce a new class of contractions which remains a mixed type of weak and F-contractions but not any of them.

New classes of Picard operators

“…Among other results, we generalize the above mention theorems of Wardowski [23] and Ri [13]. Also, we will improve some results of Gubran, Alfaqih, Imdad [4] and Proinov [11].…”

Existence and Uniqueness of Solutions of Hammerstein-Type Functional Integral Equations

“…When h(t, x(t)) = 1 p(t, s, x(s)) = f (t, s, x(s)) and r(t, s, q(x(s))) = 0, then HTFIE ( 14) is reduced to the second IE of Ilea and Otrocol [16], i.e., x(t) = g(t, x(t)) + t 0 f (t, s, x(s))ds.…”

“…We should note that for t ∈ 0, b m and x ∈ M 2 , it follows that x = x * 1 is a fixed point. Then, according to (16) we can derive that…”

“…In 2021, Gubran et al [16] introduced a new class of contractions called a mixed type of weak and F-contractions.…”