Coincidence Point Results for Multivalued Suzuki Type Mappings Using θ-Contraction in b-Metric Spaces

Abstract

In this paper, we introduce the concept of coincidence best proximity point for multivalued Suzuki-type α-admissible mapping using θ-contraction in b-metric space. Some examples are presented here to understand the use of the main results and to support the results proved herein. The obtained results extend and generalize various existing results in literature.

Some New Results on Coincidence Points for Multivalued Suzuki-Type Mappings in Fairly Complete Spaces

“…Since α(q 1 , q 2 ) ≥ 1 and the pair (g, M) satisfy Suzuki-type (α, β, γ g )−modified proximal contraction which implies that H(Mq 1 , Mq 2 ) ≤ α(q 1 , q 2 )H(Mq 1 , Mq 2 ) ≤ γD * (gq 1 , Mq 1 ) + βD * (Mq 1 , gq 2 ), after simplification we have the following (20) = γH(Mq 0 , Mq 1 ).…”

The Stability of a General Sextic Functional Equation by Fixed Point Theory

“…For the details, one can refer Corollary 4 and Corollary 7 which are special cases of main theorems. Specifically, in this paper, we will show that there is only one solution F of the general sextic functional equation (4) near the function f , which approximates the functional equation 4by using fixed point theorem [32][33][34][35]. Moreover, the solution mapping F of the functional equation 4can be explicitly constructed by the formula…”

Common Fixed Point and Endpoint Theorems for a Countable Family of Multi-Valued Mappings

“…In 1969, Nadler [3] extended the Banach contraction principle to multi-valued mappings. After that, many authors generalized Nadler's result in different ways (see, for instance [4][5][6][7][8]).…”